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2 years ago

The triangles shown below may not be congruent

Mathematics

1 answer:

Anika [276]2 years ago

6 0

Answer:

False

Step-by-step explanation:

They are Congruent by the criterion of SSS (side side side)...

because there all sides are equal...

hope it helps

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In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC

Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As, cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0

3 years ago

∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A

KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x - 3x Subtract 3x from both sides

2x - 18 = 42

+ 18 + 18 Add 18 to both sides

2x = 60 Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18 Multiply

∠A = 150 - 18 Subtract

∠A = 132 degrees

If this answer is correct, please make me Brainliest!

6 0

2 years ago

Read 2 more answers

Which box-and-whisker plot shows the scores of ten students on a mathematics exam?89, 78, 93, 90, 75, 81, 91, 80, 89, 79

Rzqust [24]

Answer:

A box-and-whisker plot is shown above a number line that extends from 70 to 100 with 1 unit markings. The box extends from 79 to between 90 and 91 with a division at 89. There is also a point marked at 89. The whisker on the left extends from 75 to 79. The whisker on the right extends from between 90 and 91 to 93.

i hope this helps u and makes sense :))

7 0

2 years ago

Jose just submitted his resume to a job posting. The posting started thats the job pays $47.588 annually. What would Jose’s mont

Marrrta [24]

Answer:

3965.67 a month

Step-by-step explanation:

presuming you mean $47,588 annually.

47588/12

8 0

3 years ago

What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

andrew-mc [135]

Solve 4x − 3y = 3 and 5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
 $\frac{4x}{4} = \frac{3x+3}{4}$ [Divide both sides by 4]
x= $\frac{3}{4}y+ \frac{3}{4}$

Step 2: Substitute $\frac{3}{4}y+ \frac{3}{4}$ for x in 5x-4y=3
5x-4y=3
5( $\frac{3}{4}y+ \frac{3}{4}$ )-4y=3
 $\frac{-1}{4}y+ \frac{15}{4} =3$
$\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4}$ [Subtract $\frac{15}{4}$ to both sides]
$\frac{-1}{4}y= \frac{-3}{4}$
$\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }= \frac{\frac{-3}{4} }{ \frac{-1}{4}}$ [Divide both sides by $\frac{-1}{4}$ ]
y = 3

Step 3: Substitute 3 for y in x = $\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}(3)+ \frac{3}{4}$
x = 3

5 0

3 years ago