Answer:
∠B = 62°
Step-by-step explanation:
Because ∠A and ∠B are vertical angles they are equal hence we can write
∠A = ∠B
8x + 14 = 2x + 50
Now we have to solve for x
To do so, subtract 2x on both sides of the equation:
6x + 14 = 50
Now, subtract 14 on both sides of the equation
6x = 36
Now, divide 6 on both sides of the equation
x = 6
To find m∠B you have to you have to plug in x = 6 back into the ∠B equation
∠B = 2(6) + 50
∠B = 62°
1. BC/CD = AC/CE 1. Given
2. <BCA is congruent to <ECD 2. Vertical angles are congruent
3. Tr.ACB is congr to Tr.ECD 3. SAS Similarity
Answer:
see explanation
Step-by-step explanation:
Multiplying or dividing each part of the ratio gives an equivalent ratio
Given
8 : 20 ← divide both parts by 2
= 4 : 10 ← divide both parts by 2
= 2 : 5 ← ratio in simplest form
Multiply both parts by 2
8 : 20 = 16 : 40
4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios
Answer:
L = 25
Step-by-step explanation:
Let's call the Length x and width x - 15 since the width is 15 less than length
Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides
x + x + (x - 15) + (x - 15) = 70 add like terms
4x - 30 = 70 add 30 to both sides
4x = 100 divide both sides by 4
x = 25
