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belka [17]
3 years ago
7

One angle of a triangle measures

align="absmiddle" class="latex-formula"> more than the second. The measure of the third angle is twice the sum of the first two angles. What is the measure of each angle?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

z=2(x+y) ---> equation C

substitute equation B in equation C

z=2(y+10+y)

z=4y+20 ----> equation D

substitute equation D and equation B in equation A

(y+10)+y+(4y+20)=180^o

solve for y

6y=180-30\\6y=150\\y=25^o

Find the value of x

x=25+10=35^o

Find the value of z

z=4(25)+20=120^o

therefore

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

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aksik [14]

Answer:

1) 34º

2) 52º

3) 56º

4) 94º

Step-by-step explanation:

let 3 be x

let 1 be y

let 2 be z

let 4 be j

180=86+38+x              56=x

90=56+y                     34=y

180=86+j                     94=j

180=34+z+94              52=z

4 0
2 years ago
The circumference of a circle is 12 pi what is the diameter​
Zolol [24]

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

5 0
3 years ago
Solve the equations to find the number and type of solutions
luda_lava [24]

Answer:

This has one real solution, x=4

Step-by-step explanation:

8 - 4x = 0

Add 4x to each side

8 - 4x+4x = 0+4x

8 =4x

Divide each side by 4

8/4 = 4x/4

2 =x

This has one real solution, x=4

6 0
3 years ago
Read 2 more answers
What is the answer to this?
a_sh-v [17]
The answer is 35 bc it has pointed on the dot
5 0
3 years ago
What is 75 + 15x ≥ 140
melomori [17]
75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~
8 0
3 years ago
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