Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
Answer:
g = -1
Step-by-step explanation:
Given the following data;
Slope, m = 9
Points = (-7, -10) and (-6, g)
X-axis = x1, x2 = (-7, -6)
Y-axis = (y1, y2) = (-10, g)
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
9 = (g - (-10))/(-6 - (-7)
9 = (g + 10)/(-6 + 7)
9 = (g + 10)/1
Cross-multiplying, we have;
9 = g + 10
g = 9 - 10
g = -1
answer:
52
explanation:
52 is the highest shared factor of the two numbers.
52*5=260
52*7=364
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