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3 years ago

11

Given: ΔXYZ

1 answer:

castortr0y [4]3 years ago

8 0

28 / 2 = 14

Answer: 14 cm

In any triangle, the mid segment has half the length of the side to which it is parallel.

Hope this helps.

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In the given figure, mWY = 76° and mXZ = 112. What is the difference of the measures of angle WPY and angle XPY?

skelet666 [1.2K]

Please consider the attached image for complete question.

We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.

First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.

$m\angle WPY=\frac{1}{2}(\widehat{WY}+\widehat{XZ})$

$m\angle WPY=\frac{1}{2}(76^{\circ}+112^{\circ})$

$m\angle WPY=\frac{1}{2}(188^{\circ})$

$m\angle WPY=94^{\circ}$

We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.

$m\angle WPY+m\angle XPY=180^{\circ}$

$94^{\circ}+m\angle XPY=180^{\circ}$

$94^{\circ}-94^{\circ}+m\angle XPY=180^{\circ}-94^{\circ}$

$m\angle XPY=86^{\circ}$

Now we need to find difference of both angles as:

$m\angle WPY-m\angle XPY=94^{\circ}-86^{\circ}$

$m\angle WPY-m\angle XPY=8^{\circ}$

Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.

6 0

3 years ago

Read 2 more answers

488, 460, 520, 544, 535<br> What is the range of the data?

n200080 [17]

Answer:

84

Step-by-step explanation:

To find the range, find the difference between the largest value and the smallest value.

544 - 460 = 84

7 0

3 years ago

Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an

zhannawk [14.2K]

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.

We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²

$(f^{-1})(2)=-3$

8 0

3 years ago

Diana ,and Jennifer and Christina are making class for the craft fair Diana has made three tenths of her Jennifer has made Two f

Sladkaya [172]

A- Christina
B-Diana

4 0

3 years ago

Help I really need help

AURORKA [14]

Answer:

A

Step-by-step explanation:

14×x^4×y^6/7×x^8×y^2

2×x^-4×y^4

2×y^4/x^4

2y^4/x^4

8 0

3 years ago