Ask question

Ask question

All categories

2 years ago

13

Which of the following sets of measurements can form exactly 1 triangle..1)a=12,b=27, A=37 degrees..2)a=11,b=15,A=36 degrees.3)a

=6, b=10,A=42 degrees..4)a=7, b=5, A=19 degrees

1 answer:

zhuklara [117]2 years ago

3 0

Answer:

1

Step-by-step explanation:

you grab to different angles and add them up, they have to be greater than the last angle. you must check all different combinations

You might be interested in

I answered it but I just need someone to answer just to make sure mine are right

Artemon [7]

<h2>The missing measures of the angles are:</h2>

$m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

<u>Given</u>:

$m\angle Z = 138^{\circ}$

<em><u>Note the following:</u></em>

An equilateral triangle has all its three angles equal to each other. Each angle = $60^{\circ}$ .

This implies that, since $\triangle WXY$ is equilateral, therefore, $m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}$

Base angles of an isosceles triangle are congruent to each other.

This implies that, since $\triangle WZY$ is isosceles, therefore, $m\angle 3 = \angle 5$

Applying the above stated, let's find the measure of each angle:

Find $m\angle 1$

$m\angle 1 = 60^{\circ}$ (an angle in an equilateral triangle equals 60 degrees)

Find $m\angle 2$

$m\angle 2 = 60 - m \angle 3$

$m\angle 2 = 60 -\frac{1}{2}(180 - 138)$ $(Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}$

Find $m\angle 3$ and $m\angle 5$ (base angles of isosceles triangle WZY)

$m\angle 3 = \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 3 = \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}$

$m\angle3 = m\angle 5$ (base angles of isosceles triangle are congruent)

Therefore,

$m\angle5 = 21^{\circ}$

Find $m\angle 4$

$m\angle 4 = 60 - m\angle 5$

Substitute

$m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}$

The missing measures of the angles are:

$m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Learn more here:

brainly.com/question/2944195

5 0

2 years ago

2y – 9x = 4<br><br> ......................

alekssr [168]

Answer:

y=9/2x+2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Kit gathered 5 eggs when she visited her cousin's farm. Altogether, the eggs weighed 225.0 grams. She wrote down the weight of e

AfilCa [17]

Easy, all you have to do is add the eggs which she got the grams for (178.7)

Then, subtract 178.7g. from 225.0g. (46.3)

Then just put the eggs according from least to greatest:

1st egg:43.98

2nd egg:45.02

3rd egg:45.07

4th egg:45.72

5th egg:46.3

Hope this helps!

8 0

2 years ago

Read 2 more answers

What is the greatest number you can multiply by 4 and not go over 12?

taurus [48]

Answer:

3

Step-by-step explanation:

3 x 4 = 12

7 0

2 years ago

Someone help me with this

kirill115 [55]

Answer:

C 1/2

Step-by-step explanation:

The y decreases by 10 and the x decreases by 5. y/x (rise/run) is 5/10, or 1/2.

7 0

3 years ago

Read 2 more answers