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Mariana [72]
3 years ago
11

Find the measures of the four numbered angles

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0
First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so 
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
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mario62 [17]
Let's prove each one:
A) y=x-3
x=0→y=0-3→y=-3=-3 ok
x=2→y=2-3→y=-1 different to 5 No

B) y=x+3
x=0→y=0+3→y=3 different to -3 No

C) y=4x-3
x=0→y=4(0)-3=0-3→y=-3=-3 ok
x=2→y=4(2)-3=8-3→y=5=5 ok
x=3→y=4(3)-3=12-3→y=9=9 ok
x=4→y=4(4)-3=16-3→y=13=13 ok

D) y=4x+3
x=0→y=4(0)+3=0+3→y=3 different to -3 No

Answer: Option C) y=4x-3
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3 years ago
If the sphere shown above has a radius of 5 units, then what is the approximate volume of the sphere? (Use 3.14 for .) A. 261.67
Olenka [21]

Answer:

B. 523.33 cubic units

Step-by-step explanation:

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V = 523.33 units^3

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Answer:

A. X=-3

Step-by-step explanation:

16x-4+5x=-67

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Vesnalui [34]

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