Answer: choice B, 40.5 degrees
The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent
angle A = angle B = x for some unknown number x
The three angles A,B,C add to 180, so,
A+B+C = 180
x+x+99 = 180
2x+99 = 180
2x = 180-99
2x = 81
x = 81/2
x = 40.5
So angle A and angle B are both 40.5 degrees
Check:
A+B+C = 180
40.5+40.5+99 = 180
180 = 180 answer is confirmed
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Edit
The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31
7x-4 = 31
7x = 31+4
7x = 35
x = 35/7
x = 5
Answer is choice B) 5
Answer:
22
Step-by-step explanation:
5x
5 * 2 = 10
10 + 12 (because 12 more)
=22
Answer:
The answer to your question is f = 10.35 in
Step-by-step explanation:
Data
Proportion = 4:9
height 1 = 4.6 in
height 2 = f
Process
1.- Write the proportion
2.- Solve for f
4f = 41.4
f = 10.35 in
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours
Answer:
A. x = 4; B. x = 6; y = 24
Step-by-step explanation:
The corresponding sides of similar figures are proportional to each other.
A. Rectangles
x/2 =16/8 Multiply each side by 2
x = 2 × 16/8
x =4
B. Triangles
x/18 = 4/12 Multiply each side by 12
x = 18 × 4/12
x = 6
y/8 = 12/4 Multiply each side by 8
y = 8 × 12/4
y = 24
