Answer:
1. 51°
2. 40°
3. 65°
4. 60°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.
1. 51°
42+87+x=180
129+x=180
x=51
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2. 40°
110+30+x=180
140+x=180
x=40
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3. 65°
20+95+x=180
115+x=180
x=65
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4. 60°
60+60+x=180
120+x=180
x=60
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a

Thus,

Plug in the values

Multiply both sides by a


Divide both sides by tan(20)



Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b

Thus,

Plug in the values

Multiply both sides by b


Divide both sides by tan(57)



Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
Answer:
3(2x+5)
2*x + 5=15
3*15=45
Step-by-step explanation:
45
Answer:
Step-by-step explanation:
<u>It shows combination of:</u>
- m∡EBD = 180° and
- m∡EBC + m∡CBA + m∡DBA = m∡EBD
<u>m∡EBD in the first equation is substituted with 180° in the second and it results in:</u>
- m∡EBC + m∡CBA + m∡DBA = 180°
<u>Correct choice is:</u>
FACTORING: 6 - 42x
STEPS:
6 - 42x
-42x + 6
= -6(7x - 1)
FINAL ANSWER: -6(7x - 1)