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kompoz
2 months ago
14

Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z

X Y are 45 degrees. The lengths of sides Z Y and Y X are 12 centimeters. What is the length of the hypotenuse? 6 cm 6 StartRoot 2 EndRoot cm 12 cm 12 StartRoot 2 EndRoot cm
Mathematics
2 answers:
babunello [11.8K]2 months ago
5 0
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
AnnZ [12.3K]2 months ago
4 0
The answer is D.
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The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u
babunello [11817]

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is, \theta=\frac{8\pi}{9}\ rad

The circle's radius is, R=18\ units

The area of a sector with radius 'R' and angle \theta can be determined with:

A=\frac{1}{2}R^2\theta

Substituting \theta=\frac{8\pi}{9},R=18 gives

A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2

Thus, the area of the shaded sector calculates to 144π square units.

5 0
3 months ago
Read 2 more answers
What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam
AnnZ [12381]

Answer:

Refer to the detailed explanation below

Step-by-step explanation:

* Let’s organize the procedure to bisect angle ABC

- Angle ABC has vertex at point B and rays BA and BC

# Step 1:

- Center the compass at point B and draw an arc that crosses rays BA and BC ⇒ fifth step

# Step 2:

- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step

# Step 3:

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# Step 4:

- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step

# Step 5:

- Let point F be the intersection of the arcs from points D and E ⇒ fourth step

# Step 6:

- Draw a ray from point B through point F ⇒ first step

* This ray divides angle ABC into two equal parts

7 0
3 months ago
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