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3 years ago

A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Mathematics

2 answers:

sammy [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Any triangle inscribed in a semicircle has one right angle. Here it's <XYZ.

Dmitry [639]3 years ago

3 0

Answer:

The correct answer is option A. 90°

Step-by-step explanation:

Points to remember

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes on it.

To find the measure of <XYZ

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

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If a is half b , and b is twice c , then a:c=

faust18 [17]

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

4 0

3 years ago

HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE

Zarrin [17]

172.9

You find it by multiplying each side of the triangle by the height (9) and adding the results together.

A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
= 72.8 + 27.3 + 72.8
= 172.9

6 0

2 years ago

Help me pls with this question thank uuu

madam [21]

Let p be 2p and q be 3q. The ratio formed by this will be

$\sf \: p = 2 \\ \sf \: q = 3 \\ \sf \: p : q = 2 : 3$

Thus, Option A is the correct choice!!~

3 0

2 years ago

Solve for x. 7 + 11x + 60 = -13 + 3x

Snowcat [4.5K]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

7 + 11x + 60 = -13 + 3x

Step 2: Solve for x

Combine like terms: 11x + 67 = -13 + 3x
Subtract 3x on both sides: 8x + 67 = -13
Subtract 67 on both sides: 8x = -80
Divide both sides by 8: x = -10

Step 3: Check

Plug in x to verify it's a solution.

7 + 11(-10) + 60 = -13 + 3(-10)

67 - 110 = -13 - 30

-43 = -43

6 0

3 years ago

Please help me answer this!!!!

garik1379 [7]

<h3>Answer:</h3>

$7 \frac{1}{2}$

<h3>Explanation:</h3>

First, convert any mixed numbers to fractions. An easy way to convert:

$4 \frac{1}{2} = 4 \times 2 + 1$

$\frac{9}{2} \div \frac{3}{5}$

Then, apply the fractions formula for division.

$\frac{9 \times5 }{2 \times 3} = \frac{45}{6}$

Then, simplify.

$\frac{45}{6} = 7 \frac{1}{2}$

5 0

3 years ago