Answer:
The value of x = 7
Step-by-step explanation:
To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.
In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees
The next thing to do is to add all the angles together and equate them to 180 degrees.
Angle WXZ + Angle ZXY + 90 = 180 degrees
7x+8 + 5x-2 + 90 = 180
12x + 96 = 180
12x = 84
x = 7
1/5 /3 help please Hahshah
Answer:0•0667
Step-by-step explanation: i don't really understand what you want but if it is one divide by five divide by three the answer is☝️☝️☝️
Answer:
1/15
Step-by-step explanation:
I think you mean 1/5 x 1/3? if not correct me and ill try to come back to your question.
Write an equation that illustrates a number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits?
Answer:
z = 13.75 * 0.8 = 11 ( two nonzero digits )
Step-by-step explanation:
An equation that has two decimal places multiplied by a number with one decimal place can be written as
z = x*y
where x can be = 13.75
and y = 0.8
therefore : z = 13.75 * 0.8 = 11 ( two nonzero digits )
I need the value of y
-2(4 + 3y) = -2(4 + y)
Answer:
y=0
Step-by-step explanation:
-2(4+3y)=-2(4+y)
-8-6y=-8-2y
+8 +8
-6y=-2y
+2y +2y
-4y=0
-4y/-4=0/-4
y=0
evaluate 3xy square -y if x=2 and y=5.
Answer:
-750
Step-by-step explanation:
Step 1: Write out expression
3xy²(-y)
Step 2: Replace variables
3(2)(5)²(-5)
Step 3: Evaluate
3(2)(25)(-5)
6(25)(-5)
150(-5)
-750
Solve for x: two thirds plus one third times x equals two times x
Answer: x = 2/5 in fraction form
In decimal form, the answer is x = 0.4
====================================================
Work Shown:
2/3 = two thirds
2/3 + (1/3)x = 2x is the equation you're given
Multiply every term by 3 so that we clear out the fractions
3*(2/3) + 3*(1/3)x = 3*2x
2 + x = 6x
From here, we solve for x
2 + x = 6x
2+x-x = 6x-x .... subtract x from both sides
2 = 5x
5x = 2
5x/5 = 2/5 ... divide both sides by 5
x = 2/5
x = 0.4
The solution of the expression is,
⇒ x = 0.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''Two thirds plus one third times x equals two times x.''
Now, We can simplify as;
⇒ 2/3 + 1/3x = 2x
Solve for x as;
⇒ 2/3 = 2x - 1/3x
⇒ 2/3 = 5x/3
⇒ 2 = 5x
⇒ x = 2/5
⇒ x = 0.4
Thus, The solution of the expression is,
⇒ x = 0.4
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You estimate that the driving distance from Raleigh, NC to Charlotte, NC is around 180 miles. When you looked it up on the internet, you found that the actual distance is only 167.5 miles. What was the relative (percent) error of your estimate? In other words, how far off were you from the actual value?
Answer:
i. The relative error in the estimated distance is approximately 7.5%.
ii. The value of the estimated distance was about 12.5 miles far of from the actual value.
Step-by-step explanation:
Given that;
Estimated distance ≅ 180 miles
Actual distance = 167.5 miles
Then,
Estimated distance - Actual distance = 180 - 167.5
= 12.5 miles
So that,
Relative error = [tex](\frac{estimated distance - actual distance}{actual distance} )[/tex] × 100%
= [tex]\frac{12.5}{167.5}[/tex] × 100%
= 0.07463 × 100%
= 7.5%
i. The relative error in the estimated distance is approximately 7.5%.
ii. The value of the estimated distance was about 12.5 miles far of from the actual value.
hello, please help thank youu!!
Answer:
36 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
(5[tex]\frac{1}{2}[/tex] x 3) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (20)
36 [tex]\frac{1}{2}[/tex]
16\3 × 3\1=48\3
10\1÷ 1\2
10\1 × 2\1=20\1
20\1 + 20\1=960\3
1.-40/2 D
(10 Points)
N
W
Z
R
Answer:
-40/2 is equal to -20
Step-by-step explanation:
still dont kno what n w z r means
How many reflectional symmetries does a regular decagon have? 5 10 15 20
For any n sided regular polygon, there are n lines of symmetry. A regular decagon has n = 10 sides, so there are 10 lines of symmetry.
Answer:
10
Step-by-step explanation:
(58-x)-(x)=12 in one variable
Answer:
x = 23
Step-by-step explanation:
Step 1: Write out equation
(58 - x) - (x) = 12
Step 2: Distribute negative
58 - x - x = 12
Step 3: Combine like terms
58 - 2x = 12
Step 4: Subtract 58 on both sides
-2x = -46
Step 5: Isolate x (divide both sides by -2)
x = 23
In the diagram, PQRS is a quadrilateral. < PQR = < PRS = 90°, /PQ/ = 3 cm , /QR/ = 4 cm and /PS/ = 13 cm, Find the area of the quadrilateral.
Answer:
36cm²
Step-by-step explanation:
From the sketched diagram of the Quadrilateral above, we have two triangles that are joined together, ∆PQR and ∆PSR
Both triangles are right angled triangles.
Step 1
We solve for ∆PQR
When solving for the sides of a right angled triangle, if two sides are given, we solve for the third sides using Pythagoras Theorem
Pythagoras Theorem =
c² = a² + b²
Where c = Longest side
For ∆PQR,
/PQ/ = 3 cm = a
/QR/ = 4 cm = b
/PR/ = c ??
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5cm
/PS/ = 5cm
We find the Area of this triangle using Heron's formula
= √s(s - a)(s - b)(s - c)
Where s = a + b + c/2
s = 3 + 4 + 5/2
= 12/2
s = 6
Area of the ∆PQR = √6(6 - 3)(6 - 4)(6 - 5)
= √6 × 3 × 2 × 1
= √36
= 6cm²
Area of the ∆PQR
Step 2
We solve for ∆PSR. Just like in Step 1, we solve for third side not given using Pythagoras Theorem
/PS/ = 13cm = c
/PR/ = 5cm = a
/SR/ = ?? = b
c² = a² + b²
13² = 5² + b²
b² = 13² - 5²
b² = 169 - 25
b² = 144
b = √144
b = 12cm
/SR/ = 12cm
We find the Area of this triangle using Heron's formula
= √s(s - a)(s - b)(s - c)
Where s = a + b + c/2
s = 5 + 12 + 13/2
= 30/2
s = 15
Area of the ∆PSR = √15(15 - 5)(15 - 12)(15 - 13)
= √15 × 10 × 3 × 2
= √900
= 30cm²
Area of the ∆PSR = 30 cm²
Step 3
We find the Area of the Quadrilateral
Area of the Quadrilateral (PQRS)= Area of ∆PQR + Area of ∆PSR
= 6cm² + 30cm²
= 36cm²
Therefore the Area of the Quadrilateral PQRS = 36cm²
5. Mis the midpoint of CD. C has coordinates (-1,-1) and
M has coordinates (3,5). Find the coordinates of D.
Answer/Step-by-step Explanation:
4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(-2, -3) = (x_1, y_1) [/tex]
[tex] B(1, 2) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) [/tex]
[tex] M(\frac{-1}{2}, \frac{-1}{2}) [/tex]
5. Given M(3, 5) as midpoint of CD, and C(-1, -1),
let [tex] C(-1, -1) = (x_2, y_2) [/tex]
[tex] D(?, ?) = (x_1, y_1) [/tex]
[tex] M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) [/tex]
Rewrite the equation to find the coordinates of D
[tex] 3 = \frac{x_1 - 1}{2} [/tex] and [tex] 5 = \frac{y_1 - 1}{2} [/tex]
Solve for each:
[tex] 3 = \frac{x_1 - 1}{2} [/tex]
[tex] 3*2 = \frac{x_1 - 1}{2}*2 [/tex]
[tex] 6 = x_1 - 1 [/tex]
[tex] 6 + 1= x_1 - 1 + 1 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 5 = \frac{y_1 - 1}{2} [/tex]
[tex] 5*2 = \frac{y_1 - 1}{2}*2 [/tex]
[tex] 10 = y_1 - 1 [/tex]
[tex] 10 + 1= y_1 - 1 + 1 [/tex]
[tex] 11 = y_1 [/tex]
[tex] y_1 = 11 [/tex]
Coordinates of D is (7, 11)
S=2d/t solve for d pls help he answer this
Answer:
d= St/2
Step-by-step explanation:
by simplification the RHS and LHS
If two different data sets have the same mean, the one with a wide range gives a better representation of its cua
True
False
Answer:
True
Step-by-step explanation:
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000.
What is the explicit function that represents Mark's salary?
Answer:
The explicit function that represents Mark's salary is;
[tex]y = \$ 65,000 \times (1.02)^x[/tex]
Step-by-step explanation:
The given parameters are;
The amount Mark will make at annually as an engineer = $65,000
The percentage annual pay increase guaranteed by the company = 2%
The explicit function that represents Mark's salary can be presented as follows;
Let Mark's present salary = y
Therefore we have;
y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ
Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.
B is the midpoint of AC.
1. AB = 3x + 6 BC = 2x + 14 Find AC.
2. AB = 5x – 8 BC = 16 - 3x Find AC.
3. AC = 3x - 1 BC = 12-X Find AB.
4. AB = 2x + 11 BC = 4x - 5 Find AC.
5. AC = 6x-4 BC = 4x - 3 Find AB.
The value of,
1. AB = 3x + 6 BC = 2x + 14 then, AC = 5x + 20
2. AB = 5x – 8 BC = 16 - 3x then, AC = 2x + 8
3. AC = 3x - 1 BC = 12-X then, AB = 4x - 13
4. AB = 2x + 11 BC = 4x - 5 then AC = 6x + 6
5. AC = 6x-4 BC = 4x - 3 then AB = 2x - 1
What is Midpoint?
Midpoint is the point in the middle of the two endpoints of a line segment.
Now, B is midpoint of AC.
Then, AC = AB + BC
1. AB = 3x + 6, BC = 2x + 14
Then, AC = 3x + 6 + 2x + 14
AC = 6x + 20
2. AB = 5x – 8, BC = 16 - 3x
Then, AC = 5x - 8 + 16 - 3x
AC = 2x + 8
3. AC = 3x - 1, BC = 12-x
Then, AB =( 3x -1 ) - ( 12 - x )
AB = 2x - 13
4. AB = 2x + 11, BC = 4x - 5
Then, AC = 2x + 11 + 4x - 5
AC = 6x + 6
5. AC = 6x-4, BC = 4x - 3
Then, AB = (6x - 4) - ( 4x - 3 )
AB = 2x - 1
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Please help me out with the question in the photo. Thank you so much! Will award brainliest.
Answer:
Step-by-step explanation:
In the given numbers,
0.91..... = Rational number
[tex]-\frac{2}{3}[/tex] = Negative rational number
[tex]\frac{100}{11}[/tex] = Rational number
1.52323.... = Irrational number
-0.3333.... = Negative rational number
Although 1.52323..... is an irrational number but Lauren put these numbers in the same group because they are either rational or irrational numbers.
Factor expressions x^2+4x+4
Answer:
Your answer is:
(x+2)^2
Factor x2+4x+4
x2+4x+4
The middle number is 4 and the last number is 4.
Add together to get 4
Multiply together to get 4
2+2 = 4
2*2 = 4
(x+2)(x+2) or (x+2)^2
I just started 8th grade and I don’t understand.
Step-by-step explanation: Think of a translation as just sliding a figure.
So here, we will move each of the points 1 unit to the left.
Take a look below.
On the new figure translate I used the ' next to the letters.
That means "prime" which shows that we changed its location.
Make sure to use that on the new translation!
Look at the plotted points. Which statements are true? Select all that apply. Point C is located at (1, 5). Point D is located at (0, 1). Point E is located at (12, 6). Point F is located at (8, 6). Point G is located at (9, 2).
Answer:
its D, F and B
Step-by-step explanation:
I just got it right on edge 2020
)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green? I need help
Answer:
40%
Step-by-step explanation:
The probability of the arrow landing on the green section is a 40% chance
This is because there are only 3 sections where one is 50 and the other is 10
To find the green we can create an equation, where x = green section
50 + 10 + x = 100
The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise
60 + x = 100
x = 100 - 60
x = 40
Solve the following equation for the value of q.
5 (34 – 10) – 5q = –15
Answer:
q = 27
I hope this helps!
Answer: q=27
Step-by-step explanation:
Given
5(34-10)-5q=-15
Combine like term in the parentheses
5×24-5q=-15
Combine like term by multiplication
120-5q=-15
Subtract 120 on both sides (subtraction property of equality)
120-5q-120=-15-120
-5q=-135
Divide -5 on both sides (division property of equality)
-5/-5 q=-135/-5
q=27
Hope this helps!! :)
Please let me know if you have any question
ABC is an acute triangle. Two of it's side measure 11 cm and 14 cm. what is the range of possible values for its third side
Answer:
3 cm < x < 25 cm
Step-by-step explanation:
Given 2 sides of a triangle then the possible values for the third side are
let the third side be x
difference of sides < x < sum of sides , that is
14 - 11 < x < 14 + 11
3 < x < 25
Twice the difference of 1 and a number
Answer:
2(1 - x)
twice = 2
difference = subtraction
1
number = x
The algebraic expressions for Twice the difference of 1 and a number is:
2(1 - x)
How to write algebraic expressions?An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
We have:
Twice the difference of 1 and a number
Let x represent the number.
Let's write algebraic expression now:
The difference of 1 and a number is: 1 - x
Twice the difference of 1 and a number will be:
2 * (1 - x) = 2(1 - x)
Therefore, twice the difference of 1 and a number is 2(1 - x)
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If you have designed a test that measures principal leadership, and want to explore whether there are other constructs that are responsible for principal leadership, you would probably want to use which of the following techniques?
a. Factor analysis
b. Multi-trait
c. Pearson Product Moment Correlation
Answer:
Factor analysis
Step-by-step explanation:
Factor Analysis is a method for modeling observed variables, and their covariance structure, in terms of a smaller number of underlying unobservable “factors.” These factors are typically viewed as broad concepts or ideas that may describe a noted occurrence.
Take for example:
A basic impulse of acquiring a certain social level might explain most consumption behavior. These unobserved factors are more interesting to the social scientist than the noted numerical measurements.
If two locations are 1 km apart in actuality but only 1 cm apart on a map, what is the map's scale? A. 1:1,000 B. 1:10,000 C. 1:100,000 D. 1:1,000,000
Answer:
C
Step-by-step explanation:
1 km = 100,000 cm
Answer:
1:100,000
Step-by-step explanation:
One km is 1000 times a meter and 100,000 times a cm.
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answer:
Kindly check explanation
Step-by-step explanation:
Let number of loaves = nl
Cups of flour = cp
Tablespoonful of water = sw
Teaspoonful of salt = ss
1 loaf of bread calls for :
2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt
1 loaf :
cp = 2 × nl
sw = 12 × nl
ss = 1 × nl = nl
nl - - - - - - cp - - - - - - sw - - - - - - ss
1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1
2 - - - - - - - 4 - - - - - - - 24 - - - - - 2
4 - - - - - - - 8 - - - - - - - 48 - - - - - 4
3 - - - - - - - 6 - - - - - - - 36 - - - - - 3
Number of loaves = cups of flour / 2
which of the following actions is a person most likely to take if he or she has a hig level of self-disipline
Answer:
respect , structure
Step-by-step explanation:
If a person has a high level of self-discipline, that means they are very responsible and self-controlled.
They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.
♡ Hope this helped! ♡
❀ 0ranges ❀
What is the value of y
10+2x
2y+8
10
18
Answer:
you cant answer the question you need to attach full question photo
opposite value of integer
6
Answer:
-6
Step-by-step explanation:
The opposite value of an integer is the same distance from the origin of the number line as the number, just on the opposite side. So the integer 6's opposite is -6.