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3 years ago

One geometry question Please help me with this!!!!

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

∠ XAZ = 50°

Step-by-step explanation:

The measure of the circle = 360°

Given arc XYZ = 230°, then

arc XZ = 360° - 230° = 130°

The tangent- tangent angle XAZ is one half the difference of the intercepted arcs, that is

∠ XAZ = $\frac{1}{2}$ (230 - 130)° = 0.5 × 100° = 50°

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The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

$z=\frac{4}{7}$

$\frac{x}{y}=z^2$

$\frac{x}{y}=(\frac{4}{7})^2$

$\frac{x}{y}=\frac{16}{49}$

$x=\frac{16}{49}y$ -----> equation A

$x+y=65$ ----> equation B

solve the system by substitution

substitute equation A in equation B

$\frac{16}{49}y+y=65$

solve for y

$\frac{65}{49}y=65$

$y=49\ cm^2$

Find the value of x

$x=\frac{16}{49}(49)$

$x=16\ cm^2$

therefore

The area of triangles are 16 cm^2 and 49 cm^2

3 0

4 years ago

Read 2 more answers

(y³)² can someone please help me with this it's supposed to written in words

gogolik [260]

Answer:

Bracket open, y raised to the power of three, bracket close, raised to the power of two

In bracket, y raised to the power of three, bracket close, raised to the power of two

7 0

3 years ago

Identify the missing justifications.

podryga [215]

Answer:

Solve for x and justify each step with a reason: 3(x - 2) + 5x = 9x - 24

Steps:

Justification (Reasons):

3(x - 2) + 5x = 9x - 24

Given

3x - 6 + 5x = 9x - 24

Distributive Property

3x + 5x - 6 = 9x - 24

Commutative Property of Addition

8x - 6 = 9x - 24

Combine Like Terms

8x - 8x - 6 = 9x - 8x - 24

Subtraction Property of Equality

0 - 6 = x - 24

Additive Inverse Property (left)

Combine Like Terms (right)

-6 = x - 24

Additive Identity Property

-6 + 24 = x - 24 + 24

Addition Property of Equality

18 = x + 0

Addition (left)

Additive Inverse Property (right)

18 = x

Additive Identity Property

The justification method shown above is an example of one method.

There are other justification methods that are deemed acceptable.

Step-by-step explanation:

hope it help brainliest pls

7 0

3 years ago

A recipe calls for 1/8 teaspoon of vanilla extract if the recipe is doubled how much vanilla extract is needed

LUCKY_DIMON [66]

Answer:

2/8

Step-by-step explanation:

1. take 1/8 and multiply it by 2/1

3 0

3 years ago

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In Exercise, find the derivative of the function.<br> y = e5x

mariarad [96]

Answer: The derivative of the function $y=e^{5x}$ is $5e^{5x}$ .

Step-by-step explanation:

We know that the derivative of $e^{ax}$ with respect to x is given by :

$\dfrac{d}{dx}(e^{ax})= a e^{x}$ (1)

The given function is $y=e^{5x}$

Differential both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(e^{5x})$

$\Rightarrow\ \dfrac{dy}{dx}=5e^{5x}$ ( Using (1))

Therefore , the derivative of the function $y=e^{5x}$ is $5e^{5x}$ .

4 0

4 years ago