Answers
Answer:
x = 85
Step-by-step explanation:
Step 1: Solve x
∠x = 180 - 27 - 68
∠x = 85
Therefore angle x equals 85
Answer:
85 degrees
Step-by-step explanation:
The sum of the angles of a triangle always add up to 180 degrees.
Here, we have two angles already given, so we can write:
27 + 68 + x = 180
95 + x = 180
Subtract 95 from both sides:
x = 180 - 95 = 85
The answer is thus 85 degrees.
~ an aesthetics lover
Related Questions
An elevator in an office building made the following moves: Up 7 floors, down 14 floors, up 6 floors, down 2 floors, up 9 floors, down 5 floors. If the elevator stopped on the 54th floor, what floor did it start on?
Answers
Answer:
It started on the 55th floor.
Step-by-step explanation:
We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.
The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S.
Answers
Answer:
(4, -9)
Step-by-step explanation:
Find the distances between the x and y coordinates of point T and the midpoint:
2 - 0 = 2 (distance of x values)
-2 - 5 = -7 (distance of y values)
Add these two values to the coordinates of the midpoint:
2 + 2 = 4 (x value of point S)
-2 - 7 = -9 (y value of point S)
So, point S is at (4, -9)
John had 2 apples, he
got 3 more.
more. How many
apples does he have?
Answers
Answer:
5
Step-by-step explanation:
2+3=5
The low temperature last month was -11 degrees farenheight. What is the absolute value of -11? Answers:-a: -11 b: 0 c: 11 d: 22
Answers
Step by Step:
The absolute value of something is it’s inverse. The absolute value of a negative is it’s positive, but positives don’t have an absolute value.
If the line L has a slop of 0, which of the following could be the graph for L?
Answers
Answer:
Graph A
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Since we are dealing with a slope of zero, we replace m with 0:
y = 0x + b
y = b
Here, we see that we would have a horizontal line. Therefore, graph A would be our answer.
Answer:
A
Step-by-step explanation:
A slope of zero is a horizontal line, because it does not change vertically
A would be the graph of a line with a slope of zero
4(x-2+y) what is this for the distributive property
Answers
Answer:
4x + 4y - 8
Step-by-step explanation:
4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property
Help plz I really need this
Answers
Answer:
14 square inches
Step-by-step explanation:
Since, three one inch cubes are stacked.
Therefore,
l = 1 in
w = 1 in
h = 3 in
Surface area of the composite figure
= 2(lw + wh + lh)
= 2( 1*1 + 1*3 + 1*3)
= 2 (1 + 3 + 3)
= 2 * 7
= 14 square inches
Convert 2676 cm into inches (1 in = 2.54 cm)
Answers
Answer:
1053.543 in
Step-by-step explanation:
I divided the length value by 2.54
Answer:
1053.5 in
Step-by-step explanation:
1 in
2676 cm x ------------ = 1053.5 in
2.54 cm
The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation?
Answers
========================================================
Explanation:
The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.
So x spans from -5 to 3, excluding -5 but including 3. We would write [tex]-5 < x \le 3[/tex] which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.
-----------
The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.
So the range is the set of y values such that [tex]-4 \le y < 5[/tex] which in interval notation would be written as [-4, 5)
-----------
So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.
For a given function f(x), we define the domain as the set of the possible inputs for that function.
Here we will see that the domain is (-5, 3]
So, to find the domain by looking at a graph, we need to see the smallest x-value and the largest x-value.
In the graph, at the left, we can see that we have a white dot at x = -5
This means that the point itself does not belong to the domain, so here we need to use an open interval symbol, which is (
Then at the moment, we have:
domain = (-5
Now if we look at the right side, we can see that we have a black dot at x = 3.
This means that the value x = 3 belongs to the domain, so here we need to use the close symbol ].
Then the domain will be:
(-5, 3]
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2% Of A=3% OF B = 4% of c then A:B:C: is?
Answers
Answer:
6:4:3.....................
The ratio between A, B, and C is 6:4:3.
To determine the ratio between A, B, and C based on the given information, we can set up the following equations:
2% of A = 3% of B
4% of C = 3% of B
Let's solve for the variables and find the ratio:
First equation: 2% of A = 3% of B
0.02A = 0.03B
A/B = 0.03/0.02
A/B = 1.5
Second equation: 4% of C = 3% of B
0.04C = 0.03B
C/B = 0.03/0.04
C/B = 0.75
Now, let's express the ratio A:B:C based on the ratios we found:
A:B = 1.5:1
B:C = 1:0.75
To obtain a common ratio, we can multiply both ratios by 4:
A:B = 6:4
B:C = 4:3
Combining these ratios, we have:
A:B:C = 6:4:3
Therefore, the ratio between A, B, and C is 6:4:3.
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What is the degree (highest exponent) of
a quadratic?
Answers
Answer:[tex]x^{2}[/tex]
Step-by-step explanation:
The highest degree is [tex]x^{2}[/tex]
quadratic equations are usually in this form: [tex]ax^{2}[/tex] +bx +c =0 (the signs may be positive or negative depending on the question given)
Which situation is modeled by the graph? A graph has time on the x-axis and height on the y-axis. The height increases, decreases to 0, increases, decreases to 0, and then increases.
Answers
Answer:
A graph has time ont the x-axis and height on the y-axis
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
please help Which of these numbers is equivalent to 2.4×10 to the 5 power? A. 2,400 B.24, 000 C. 240,000 D. 2,400,000
Answers
Answer:
C
Step-by-step explanation:
● 2.4 × 10^5
10^5 is 100000
● 2.4 × 100000
● 240 000
Answer:
C. 240,000
Step-by-step explanation:
This question is about using scientific notation.
In order to solve these types of questions, you move the decimal as many places as indicated by the Exponent ( which is given above the 10).
So in this example, we are given 2.4 x 10 ⁵. This means we would move the decimal 5 places. Since the exponent is positive, we will move the decimal to the right.
2 . 4 .
Which gives us option C. 240,000.
Aluminum is a highly reactive metal that oxidizes when exposed to air. Which of these would be a good first step in balancing this reaction? Al + O2 → Al2O3
Answers
Answer:
first step to balance the equation is :
multiply AL by 2 to match the amount of aluminum on the other side
balanced equation : 4 Al +3O2 → 2 ALO3
Step-by-step explanation:
Al + O2 → Al2O3
first step to balance the equation is :
multiply AL by 2 to match the amount of aluminum on the other side
but then you have to deal with the amount of O from both sides, we need to find the least common multiple between 2 and 3 which is 6
the best thing to balance the equation is to multiply O2 by 3 and O3 by2, then deal with the amount of AL which is 4 on the other side. last step is to multiply AL by 4 to balance the equation.
Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day. What is the expression needed to find his total earnings?
Answers
Answer:
16-7+22-12+18-9
The correct answer is $28
Step-by-step explanation:
Thanks
The expression that uses adding the additive inverse to rewrite the expression is 16 + (–7) + 22 + (–12). Therefore, option C is the correct answer.
The given expression 16 – 7 + 22 – 12.
We need to rewrite the expression needed to find his total earnings.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The additive inverse of a particular number refers to the number that when the added will to the number will be equal to 0.
Now, based on the information given in the question, the additive inverse will be 16 + (–7) + 22 + (–12).
Therefore, option C is the correct answer.
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Your question is incomplete, probably the complete question/missing part is:
Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchasing more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.
Identify the expression that uses adding the additive inverse to rewrite the expression.
–16 + (–7) + (–22) + (–12)
–16 + 7 + (–22) + 12
16 + (–7) + 22 + (–12)
16 + (–7) + 22 + 12
Find the measure of b. A. 126 B. 31.5 C. 27 D. 63
Answers
Answer:
D. 63°
Step-by-step explanation:
a = 27°
b = 180° - (a + 27°)
b = 180° - (27° + 27°)
b = 180° - 54°
b = 126°
By inscribed angle theorem:
c = 1/2 b = 1/2 * 126°
c = 63°
The measure of angles a, b, and c in the given figure are 27°, 126°, and 63°, respectively.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
In the triangle ORQ, the two sides of the triangle OR and OQ are the radius of the triangle, therefore, the length of the two sides will be.
Since the two sides of the triangle are equal, therefore, the triangle will be an isosceles triangle, with the angle opposite to the same length measuring the same. Therefore,
∠OQR = ∠ORQ
a = 27°
Now, in a triangle, the sum of the measure of all the angles is equal to 180°. Therefore, we can write,
∠OQR + ∠ORQ + ∠QOR = 180°
a + 27° + b = 180°
27° + 27° + b = 180°
b = 180° - 27° - 27°
b = 126°
Further, In a circle, the measure of the angle formed by the chord in the centre of the circle is twice the measure of the angle formed by the same chord on any point in the circle. Therefore,
∠QOR = 2∠QPR
b = 2 × ∠QPR
126° = 2 × ∠QPR
∠QPR = 126° / 2
∠QPR = 63°
Hence, the measure of angles a, b, and c in the triangle are 27°, 126°, and 63°, respectively.
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Alma is 3 years older than liz.
let l =liz's age.
then ? =alma age
Answers
Answer:
l+3
Step-by-step explanation:
since Alma is 3 years older than Liz so then she would be l+3
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350. Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575. What is Kyle’s fixed monthly salary in dollars?
Answers
Answer:
$900
Step-by-step explanation:
Kyle's commission on an extra $5000 in sales was ...
$1575 -1350 = $225
So, his commission on $10000 in sales would be ...
$225 × 2 = $450
Since $450 of Kyle's first month's sales was commission, his base salary was ...
$1350 -450 = $900 . . . . Kyle's fixed monthly salary
When a number of oranges is divided among six girls, each gets four
oranges. How many oranges would each girl get if there were eight girls ?
Answers
Answer:
3
Step-by-step explanation:
ok first multiply 6 and 4 it becomes 24 then we divide 24 with 8.
That means there is 24 oranges in total because 6*4=24
If we have 8 girls we would have to equally divide the 24 between the 8 girls
Meaning 24/8=3
So each girl would be given 3 oranges
Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train. After 3 hours the were 270 miles apart how fast was each train going
Answers
Answer:
speed of Jim's train = 35 mi/h
speed of Sarah's train = 35 +20 mi/h = 55 mi/hour
Step-by-step explanation:
Let the speed of Jim's train be x mi/h
Given, Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train.
speed of Sarah's train = x + 20 mi/h
we know distance = speed * time
time = 3 hours
distance traveled by Sarah's train = 3*(x+20) = 3x+60 miles
distance traveled by Jim's train = 3*x = 3x miles
It is not given that if trains are moving in same or opposite direction.
__________________________________
if they are travelling in same direction
Then, then distance between them = total distance traveled by
faster train - total distance traveled by
slower train = 3x +60 -3x = 60 miles
which is wrong as the two trains are 270 miles apart
hence, they are travelling in opposite direction
In this case
distance between them = total distance traveled by
faster train + total distance traveled by
slower train = 3x +60 + 3x = 6x + 60 miles
given that the trains are 270 miles apart
6x + 60 miles = 270 miles
6x = 270 - 60 = 210
x = 210/6 = 35
Thus, speed of Jim's train = 35 mi/h
speed of Sarah's train = 35 +20 mi/h = 55 mi/hour
Graph -7+5y=35. khan acadmy forms of linear equations question. pls show work
Answers
The graph is a representation of how the value of the variable y vary.
Given that y is equal to a constant, 8.4, the graph is an horizontal line.
Response:
The graph of the linear equation -7 + 5·y = 35 having one variable is the graph of the horizontal line y = 8.4, attached.Which is the form of the given linear equation?The given equation is; -7 + 5·y = 35
The number of variables in the given equation is one (y), the
power of the variable is also one and the variable is y.
Therefore;
The value of the variable is a constant, in the form; y = c (constant)The graph of a constant y-value is a horizontal lineSolving the equation gives;
-7 + 5·y = 35
5·y = 35 + 7 = 42
[tex]y = \dfrac{42}{5} = \mathbf{8.4}[/tex]
The graph of the equation is the graph of the line, y = 8.4
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Solve the following equation.
Round to the nearest TENTH
-3.7 - 9.7x = 7x – 5.2
Answers
Answer:
x=0.1
Step-by-step explanation:
-3.7-9.7x=7x-5.2
-3.7+5.2=7x+9.7x
1.5=16.7x
x=0.08982
x=0.1
-9.7x - 7x = - 5.2 + 3.7
-16.7x = -1.5
x = -1.5/-16.7
x=0.8982
x=0.1 ✔️
What is the value of 9 packs of Sweets if one pack of sweet cost Rs 120.5?
Answers
Answer:
[tex]\boxed{Rs 1084.5}[/tex]
Step-by-step explanation:
One pack = Rs 120.5
→ Multiply both the brackets and price by 9
9 packets = Rs 1084.5
Answer:
[tex] \boxed{ \bold{ \mathsf { \boxed{ \: Rs \: 1084.5}}}}[/tex]Step-by-step explanation:
Cost of one pack of sweets = Rs 120.5
Cost of 9 packs of sweets = ?
Finding the cost of 9 packs of sweets
Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )
⇒ Rs 1084.5
Hope I helped!
Best regards!!
PLEASE HELP!!!
Find the measure of WV¯¯¯¯¯¯¯¯¯. A. 8 B. 6 C. 7 D. 4
Answers
Answer:
[tex]\Huge \boxed{\mathrm{B. \ 6}}[/tex]
Step-by-step explanation:
We can apply the Intersecting Secant-Tangent Theorem.
TV is the secant.
VW is the tangent.
VW² = VT × VU
(x+6)² = (5+x+4) × (x+4)
Combine the terms in bracket.
(x+6)² = (x+9)(x+4)
Expand brackets on both sides of the equation.
x²+12x+36=x²+13x+36
Subtract x² from both sides.
12x+36=13x+36
Subtract 12x from both sides.
36=x+36
Subtract 36 from both sides.
0=x
WV = x+6
x=0
WV = 0+6 = 6
The measure of the tangent WV is 6.
Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute
Answers
Answer:
2 ft/min
Step-by-step explanation:
Given that :
Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?
Time taken it wall down the path = 4 minutes
Rate of change of elevation is the same
Distance = 8 Feets
Therefore, change in elevation per minute :
Distance dropped / time taken to drop that distance
8 Feets / 4 minutes
2 Feets / minute
Change in elevation = 2 Feets per minute
Graph (-4, 5), (2, 3), (-3.0), (-4. -5). (-5. 2), and (-5,3) and connect the points to form a polygon. How many sides does the polygon have?
Answers
Answer:
I think the sides of polygon are 6
Step-by-step explanation:
Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side
When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.
Answers
Answer:
money with Gopal rs. 60
money with laxmi Rs. 90
Total money with them = Rs. 150
Step-by-step explanation:
Let money with gopal be x
let money with laxmi be y
Given
Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal
Money left with gopal after giving Rs 10 = x-10
money with Laxmi after getting rs 10 = y+10
according to given condition
money with laxmi = 2*money left with Gopal
y+10 = 2(x-10)
___________________________________________________
Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.
Money left with Laxmi after giving Rs 10 = y-10
money with Gopal after getting rs 10 = x+10
according to given condition
money with laxmi -10 =money with Gopal
y-10-10 =x+10
y-20 = x+10
=> y = x+10+20
y = x+30
substituting y = x+30 in y+10 = 2(x-10)
x+30 +10 = 2(x-10)
x+40 = 2x-20
=>40+20 = 2x-x
=> x = 60
y = x+30 = 60+30 = 90
Thus,
money with Gopal rs. 60
money with laxmi Rs. 90
Total money with them = 60+90 = rs. 150
Two objects were lifted by a machine. One object had a mass of 2000 grams, and was lifted at a speed of
2 m/sec. The other had a mass of 4000 grams and was lifted at a rate of 3 m/sec.
a. Which object had more kinetic energy while it was being lifted?
Answers
Answer:
The second object (4000 grams) had more kinetic energy
Step-by-step explanation:
Use the equation KE = 0.5mv², where m is the mass and v is the velocity.
Find the kinetic energy of the first object:
KE = 0.5(2000)(2 m/s)²
KE = 4000 J
Find the kinetic energy of the second object:
KE = 0.5(4000)(3 m/s)²
KE = 18000 J
So, the second object (4000 grams) had more kinetic energy.
The second object of mass 4000 grams will have more kinetic energy than the first mass.
What is kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
Use the equation KE = 0.5mv², where m is the mass and v is the velocity.
The kinetic energy of the first object:
KE = 0.5(2000)(2 m/s)²
KE = 4000 J
The kinetic energy of the second object:
KE = 0.5(4000)(3 m/s)²
KE = 18000 J
Therefore, the second object (4000 grams) had more kinetic energy.
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Evaluate. (-3/4) to the third power
Answers
Answer:
- 27/64
Step-by-step explanation:
Third power = cubed = multiplying by itself three times
(-3/4)^3 = (-3/4) * (-3/4) * (-3/4) = 9/16 * (-3/4) = - 27/64
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.
Answers
Answer:
12
Step-by-step explanation:
x + 1/4 x = 15
4/4 x + 1/4 x = 15
5/4 x = 15
x = 15 * 4/5
x = 12
Answer:
Its 12 trust me just did it
Step-by-step explanation: