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3 years ago

Write and solve an equation to determine the value of the variable. Then determine the measure of each angle in the diagram

Mathematics

1 answer:

cricket20 [7]3 years ago

3 0

Step-by-step explanation:

$7x + 21 = 5x + 3 \\ 7x - 5x = -21 + 3 \\ 2x = - 19 \\ x = - 19 \div 2 \\ x = - 9.5$

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PLEASE HELP 100 POINTS!

krok68 [10]

Answer:

800%

Step-by-step explanation:

Volume of a square based pyramid

$\sf V=\dfrac{1}{3}a^2h$

where:

a = base side length
h = height

Given values for Pyramid A:

a = 14 inches
h = 6 inches

Substitute the given values into the formula to find the volume of Pyramid A:

$\begin{aligned}\textsf{Volume of Pyramid A} & = \sf \dfrac{1}{3}(14)^2(6)\\\\& = \sf \dfrac{1176}{3}\\\\& = \sf 392\:\: in^3 \end{aligned}$

Given:

Volume of Pyramid B = 3136 in³

To find how many times bigger Pyramid B is than Pyramid A, divide the volume of Pyramid B by the volume of Pyramid A:

$\implies \sf \dfrac{3136}{392}=8$

Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.

8 as a percentage is 800%, since 800/100 = 8.

Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.

To verify this, find 800% of the volume of Pyramid A:

⇒ 800% of 392

= 800/100 × 392

= 8 × 392

= 3136

8 0

1 year ago

Write the equation in point slope form given that the slope is −1/2 and goes through the point (4, −7)

WARRIOR [948]

Y= -1/2x -5 is the equation for the slope to pass through the point

8 0

3 years ago

Read 2 more answers

Find the area of the triangle SHOW WORK

kykrilka [37]

Answer:

The area of triangle is 1263.6 mm².

This is an Equilateral triangle.

Step-by-step explanation:

Given that the area of triangle formula is A = 1/2×base×height. So you have to substitute the values into the formula :

$area = \frac{1}{2} \times base \times height$

Let base = 54mm,

Let height = 46.8mm,

$area = \frac{1}{2} \times 54 \times 46.8$

$area = \frac{1}{2} \times 2527.2$

$area = 1263.6 \: {mm}^{2}$

This is the Equilateral triangle because all sides of the triangle are equal.

3 0

3 years ago

What is the answer to 60/5(7-5)

lbvjy [14]

Answer:

Step-by-step explanation:

60/5 (7-5)

= 12(2)

= 24

8 0

3 years ago

3. Using the distributive property, write an equivalent expression. * (5 Points) 8(3x - 5)

julia-pushkina [17]

Answer:

24x - 40

Step-by-step explanation:

8 x 3 = 24

8 x 5 = 40

24x - 40

5 0

3 years ago

Read 2 more answers