what is x equal to? please answer asap. thanks!
Answer:
[tex]\Huge \boxed{{x=56\°}}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Create an equation.
64 + x + 60 = 180
Solve for x.
Add the numbers.
x + 124 = 180
Subtract 124 from both sides.
x + 124 - 124 = 180 - 124
x = 56
Answer:
56°
Step-by-step explanation:
64 + 60 = 124180 - 124 = 56Why?
We did 64 + 60 because they are the two degrees that is given to us, and those two added with x will give us 180.When we add 64 and 60 together, we get 124. We then subtract that total from the total of the three angles to give us the remaining angle., which is 56.Therefore, x is 56°
what are the next 2 terms in the sequence? 1,4,13,40,121
Answer:
364, 1093
Step-by-step explanation:
NEED HELP ASAP ALGEBRA 2
Find the third side in simplest radical form
Answer:
36
Step-by-step explanation:
a² + b² = c²
a² + 77² = 85²
a² + 5929 = 7225
a² = 1296
a = 36
Step-by-step explanation:
[tex] \sqrt{ {85}^{2} - {77}^{2} } [/tex]
[tex] \sqrt{1296} [/tex]
[tex] 36 [/tex]
which function is shown on the following graph
Answer:
question is incomplete.
Step-by-step explanation:
Graph the inverse of the provided graph on the accompanying set of axes. You must
plot at least 5 points.
Answer:
*See attached image for the 5 points on the graph*
Step-by-step explanation:
Step 1: Find 5 points to calculate inverse
We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)
Step 2: Find the inverse
You find the inverse when you swap the 'x' and 'y' so it would be
Vertex: (-4,-1)
y-intercept 1:(-3,0)
y-intercept 2:(-5,0)
Point 1: (-2,3)
Point 2: (-6,3)
Step 3: Graph
Graph the points on a graph and connect the points
The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].
See attachment for the inverse graph.
From the given graph, we have the following 5 points.
[tex](x_1,y_1) = (8,-1)[/tex]
[tex](x_2,y_2) = (3,-2)[/tex]
[tex](x_3,y_3) = (-1,-4)[/tex]
[tex](x_4,y_4) = (3,-6)[/tex]
[tex](x_5,y_5) = (8,-7)[/tex]
Reflect the above points across [tex]y = x[/tex], to get the inverse function
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (-2,3)[/tex]
[tex](x_3,y_3) = (-4,-1)[/tex]
[tex](x_4,y_4) = (-6,3)[/tex]
[tex](x_5,y_5) = (-7,8)[/tex]
The inverse graph must pass through the above points
See attachment for the inverse graph
Read more about inverse graphs at:
https://brainly.com/question/11033643
The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?
Answer:
36º
Step-by-step explanation:
Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.
2x + 5x + 6x + 7x = 360
20x = 360
x = 18
18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.
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Answer:
36
Step-by-step explanation:
The four angles of a quadrilateral add to 360
2:5:6:7
Multiply by x
2x:5x:6x:7x
Add them together to get 360
2x+5x+6x+7x = 360
20x = 360
Divide each side by 20
20x/20 = 360/20
x =18
The smallest angle is 2x
2*18 = 36
-4(2x - 1) = -6(x + 2) - 2.
Answer:
x=9
Step-by-step explanation−4(2x−1)=−6(x+2)−2
(−4)(2x)+(−4)(−1)=(−6)(x)+(−6)(2)+−2(Distribute)
−8x+4=−6x+−12+−2
−8x+4=(−6x)+(−12+−2)(Combine Like Terms)
−8x+4=−6x+−14
−8x+4=−6x−14
Step 2: Add 6x to both sides.
−8x+4+6x=−6x−14+6x
−2x+4=−14
Step 3: Subtract 4 from both sides.
−2x+4−4=−14−4
−2x=−18
Step 4: Divide both sides by -2.
−2x
−2
=
−18
−2
x=9
Answer:
2
Step-by-step explanation:
This is our equation-
-4(2x-1)=-6(x+2)
We are trying to isolate x in a side, but first, we must multiply the numbers in between the brackets. A negative number multiplied by a positive number gives a negative number, and a negative times a negative is positive, so-
-8x·4=-6x+(-12)
Now we have to multiply -8x times 4
-32x=-6x-12
Now we isolate x-
-24x=-12
We divide and get the final result of x=2
x=2
A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle BAC measures 60°. A solid oblique pyramid has a regular hexagonal base with an area of 54 StartRoot 3 EndRoot centimeters squared and an edge length of 6 centimeters. Point B is the apex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle A B C is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid? 72StartRoot 3 EndRoot cm3 108StartRoot 3 EndRoot cm3 324 cm3 486 cm3
Answer: C. 324 cm∧3
Just took quiz.
Based on the calculations, the volume of this pyramid is equal to: D. 324 cm³.
Given the following data:
Base area = 54√3 cm².Edge length = 6 centimeters.Angle BAC = 60°.How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × base area × height
Next, we would find the height of this pyramid from the right-angled triangle ABC by applying Tan trigonometry formula:
Tanθ = Opp/Adj = BC/AC
Tan60 = height/6
√3 = height/6
Height = 6√3 cm.
Now, we can calculate the volume of this pyramid:
Volume = 1/3 × base area × height
Volume = 1/3 × 54√3 × 6√3
Volume = 1/3 × 972
Volume = 324 cm³.
Read more on pyramid here: brainly.com/question/16315790
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One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 930° B. 1240° C. 1440° D. 1800°
Answer:
The answer would be c. 1440
Step-by-step explanation:
one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440
please help me solve this problem!
Answer:
X=12
Step-by-step explanation:
According to the similarity theory of triangles
On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance, in miles, between the two cities that are 3 3/4 inches apart on the map?
Answer:
30 miles
Step-by-step explanation:
1/4 = 2
3 3/4 = x
15/4 = x
So, Cross multiply
=> 1/4 * x = 15/4 * 2
=> 1/4x = 15/4 * 4/2
=> 1/4x = 60/8
=> 1/4x = 7.5
=> 1/4x * 4 = 7.5 * 4
=> x = 30
So, 15/4 inches on the map equals 30 miles.
|5+9-15)|= simplify the expression
Answer:
1
Step-by-step explanation:
fives times a number and the difference of 6
Answer: The equation that has resulted from this is 5x - 6.
Step-by-step explanation:
So far, we know that the givens are:
fives times a number and the difference of 6
Then, we can conclude that the term "a number" means an unknown term, so all we have to do is put a variable in its place. It can be k, s, h, z, x, etc. Next, just find the difference of 6. So, from what we know, this is what our new equation looks like:
5 times ( a number) - the difference of 6
In math form:
5 (x) - 6
Simplify:
5x - 6
Hence the answer!
Earl needs to fill juice cups for his little brother's birthday party. There are 25 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase? (2 points) (1 quart = 32 fluid ounces, 1 gallon = 4 quarts) 1 bottle 2 bottles 3 bottles 4 bottles
Answer:
3 bottles
Step-by-step explanation:
Hello!
First, we find out how many fluid ounces 25 cups of juice hold.
One cup holds 12 fluid ounces so to find 25 we do
25 * 12 = 300 fluid ounces
Next, we find out how many fluid ounces one gallon holds.
One gallon is 4 quarts.
1 quart is 32 fluid ounces so to find how many 4 holds we do
32 * 4 = 128
So one gallon holds 128 fluid ounces
To find how many we need we divide the total needed by how much one bottle holds
300/128 = 2.34
You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover
The answer is 3 bottles
Hope this helps!
Find the measure of KM¯¯¯¯¯¯¯¯¯¯. A. 9 B. 10 C. 14 D. 12
Answer:
B. 10
Step-by-step explanation:
By the property of intersecting secants outside of a circle:
MN*MA = ML*MK
(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)
(x - 4) (x - 1) = (x - 5) (x + 1)
[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]
[tex] - 5x + 4= - 4x - 5[/tex]
[tex] 5 + 4= 5x - 4x [/tex]
[tex] 9 = x [/tex]
KM = x - 5 + 6 = 9 - 5 + 6 = 10
Which of the following is quadratic equation?
(a) x^2-79=x^2+9x+1
(b) 12x^2-7=0
(c) 3x^2+11x+14=x(3x+5x)
(d) -x^2+11x-18=0
Answer:
a c d
Step-by-step explanation:
a c d are quadratic equation expect "b"
Look at the triangle ABC. What is the length of the side AB of the triangle? A.) 3 B.) 5 C.) Square root of 6 D.) Square root of 13
Answer:
The answer is option DStep-by-step explanation:
To find the length of AB we use the formula
[tex] \sqrt{ ({x _{1} - x_{2}})^{2} + ({y_{1} - y_{2} })^{2} } [/tex]
Where
(x1 , y1) and (x2 , y2) are the points
From the question
A is (4 , 5) B is (2 , 2)
So the length of AB is
[tex] |AB| = \sqrt{ ({4 - 2})^{2} + ({5 - 2})^{2} } [/tex]
[tex] |AB| = \sqrt{ {2}^{2} + {3}^{2} } [/tex]
[tex] |AB| = \sqrt{4 + 9} [/tex]
We have the final answer as
[tex] |AB| = \sqrt{13} [/tex]
Hope this helps you
Answer:
sqrt(13) = c
Step-by-step explanation:
The length of BC = 4-2 =2
The length of AC = 5-2 =3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4+9 = c^2
13 =c^2
Take the square root of each side
sqrt(13) = c
f=d+e+f i need help solving this i have to solve for f
Answer:
You can't solve for f since f is eliminated from the equation.
Step-by-step explanation:
f = d + e + f
Subtract f from both sides.
0 = d + e
You can't solve for f since f is eliminated from the equation.
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is
[tex]\frac{AC}{CR}[/tex] = [tex]\frac{AD}{DR}[/tex] , substitute values
[tex]\frac{10}{x}[/tex] = [tex]\frac{15}{42}[/tex] ( cross- multiply )
15x = 420 ( divide both sides by 15 )
x = 28
Rice weighing 3¾ pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
15/16
Step-by-step explanation:
3 3/4 divided by 4 = 15/16
Round 15.97 to the nearest tenth,
Answer:
20
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Brainliest please!!!
The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get - 30?
Answer:
20 terms
Step-by-step explanation:
Given AP with the first two terms:
a₁= 27 and a₂=24Common difference:
d= 24-27 = -3To find
n for which Sₙ= -30SolutionSₙ = 1/2*n*(a₁+aₙ) = 1/2n(a₁+a₁+(n-1)d) =1/2n(27+27+(n-1)(-3))= 1/2n(54 - 3n + 3) = 1/2n(57 - 3n)Since Sₙ = -30
1/2n(57 - 3n) = -3057n - 3n² = -6019n - n²- 20 = 0n² -19 n -20= 0Solving the quadratic equation we get:
n =20So the sum of 20 terms will add up - 30
Mike jogged 6 laps around a 0.25-mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined?
Answer:
3.25 miles
Step-by-step explanation:
Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.
What percent is $35 out of $200
Answer:
17.5
Step-by-step explanation:
35℅ of 100 is 35 so 200 would be half that
Answer:
Hey!
Your answer is 17.5%!
Step-by-step explanation:
Can be written as...35/200
Now...
MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...
35/200 × 100/100
35×100/200 × 1/100
SOLVED!!!
▶ HOPE IT HELPED ◀
A total solar eclipse in 2003 lasted 8 9/20 minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted 3 8/9 minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse? The 2003 solar eclipse was minutes longer than the 2005 solar eclipse. (Simplify your answer. Type a whole number, proper fraction, or mixed number)
Answer:
20 mins
Step-by-step explanation:
2003 17 2005 20
what is the approximate side length of a square game board with and area of 188 in. squared.
Answer:
Side length of a square game board is
11.916
inches.
Explanation:
If the area is
142
∈
2
, as area is square of side length of a square,
Side length is
√
142
=
11.916
inches.
Step-by-step explanation:
Answer:
13.7 inches
Step-by-step explanation
Area = base*height
(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)
Area of square = side length^2
(square root both sides of the equation, and you get the following)
[tex]\sqrt{Area\\}[/tex] = side length
(now, substitute the info)
[tex]\sqrt{188\\}[/tex] = x
(solve)
x = 13.7 inches
15⁹ / 15⁸= ; aplique la propiedad
The rule for dividing the exponential numbers is that:
x^n / x^m ( " ^ " is refer to show you the exponent)
= n-m .
So , 9-8 = 1 . and 15 to the power of 1 is equal to 15.
Which expression is equivalent to √-60? A) -2√15 B) -4√15 C) 4i√15 D) 2i√15
Answer:
d) 2i√15
Step-by-step explanation:
60/4 is 15 so you can take out the square of 2 and the -
Solve the equation 58 - 10x ≤ 20 + 9x
Answer:
x≥2
Step-by-step explanation:
First, write out the equation as you have it:
[tex]58-10x\leq20+9x[/tex]
Then, add [tex]10x[/tex] to both sides:
[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]
Next, subtract [tex]20[/tex] from both sides:
[tex]58-20\leq20-20+19x\\38\leq19x[/tex]
Finally, divide both sides by [tex]19[/tex]:
[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]
or
[tex]x\geq 2[/tex]
Therefore: the answer to this inequality/equation is: x≥2
(8x2 + 8x) – (-9x2 + 8x)
Answer:
17 x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x)
Distribute the minus sign
8x^2 + 8x + 9x^2 - 8x
Combine like terms
17 x^2 +0x
17x^2
Answer:
17x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x) =
The parentheses on the left side are unnecessary, so just remove them.
= 8x^2 + 8x – (-9x^2 + 8x)
To remove the right set of parentheses, distribute the negative sign.
= 8x^2 + 8x + 9x^2 - 8x
Now combine like terms.
= 8x^2 + 9x^2 + 8x - 8x
= 17x^2