Answer:
(a) Theorem 9
Step-by-step explanation:
Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.
<h3>Analysis</h3>
The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).
Theorem 9 applies to congruent alternate interior angles.
Answer:
x= 14/9 = 1 5/9
Step-by-step explanation:
Use the distributive property to multiply 2 by 5x−3.
2(5x−3)−4=x+4
Subtract 4 from −6 to get −10.
10x−6−4=x+4
Subtract x from both sides
10x−10=x+4
Combine 10x and −x to get 9x.
10x−10−x=4
Add 10 to both sides.
9x−10=4
Divide both sides by 9.
x= 14/9
Please mark brainliest.
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3
Answer:
The amount after 4 years = $ 16198.87
Step-by-step explanation:
Points to remember
Compound interest
A = P[1 + R/n]^nt
Were A - Amount
P - Principle
R - Rate of interest
t - Number of years
n - Number of times compounded
<u>To find the amount</u>
Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times
A = P[1 + R/n]^nt
= 11800[1 + 0.08/4]^(4 * 4)
= 16198.87
Therefore amount after 4 years = $ 16198.87
Answer:
48 girls
Step-by-step explanation:
Divide 42 by 7 and then multiply the answer by 8. So 42/7 is 6 and 6 multiplied by 8 is 48 so if there are 42 boys there are 48 girls.
