Answer:
40°
Step-by-step explanation:
Supplementary angles add up to 180°. Complementary angles add up to 90°.
m∠1 + m∠2 = 180°
115° + m∠2 = 180°
m∠2 = 65°
m∠2 + m∠3 = 90°
65° + m∠3 = 90°
m∠3 = 25°
m∠2 − m∠3 = 65° − 25° = 40°
Answer:
79 degrees
Step-by-step explanation:
A. Sum of interior angles is where you take two of the interior angles (ones inside the triangle) and add them to get the opposite angle outside the triangle, D in this case. So 41 + 38 = 79 degrees
B. a straight line has 180 degrees, you are given the angle next to D to be 101, so you find the difference between 180 and 101 to find D, so 180-101 = 79 degrees
Answer: -4 = <em>w OR w = -4</em>
Step-by-step explanation: For this given equation you will have to solve for the variable w. In order to do this you must isolate the variable <em>w.</em>
Step 1: Use the distributive property: -79=7w+3(4w-1) ( 3 x 4w = 12w and 3 x -1 = -3.
Step 2: Add like terms and whole numbers: -79=7w+12w-3 ( 7w + 12w = 19w
Step 3: Use the Addition Property of Equality:3 + -79=19w-3+3 ( 3 + -79 = -76 and -3 + 3 =0
Step 4: Use the division Property of Equality: -76=19w -76 divided by 19 is -4 and 19w divided by 19 is w
Step 5: The answer: -4=w
Answer:
C.
Step-by-step explanation:
Line CD has a slope of -5/3 and the negative reciprocal of 3/5. The slope for the line given is 3/5 so the slopes are right. Then look at the y-intercept of the line given: (0,-2) Go up 3 and over 5 and you can see it pass through the line CD making C the answer.