Answer:
1. angle AEB and angle DEF
2.angle AEB and angle CEB
3. angle AEF and angle DEF
4. 120 degrees - vertical angles have the same degree
5. 13 degrees - vertical angle
6. 180-110 = 70 degrees - supplementary
7. 180-65 = 115 degrees - supplementary
Step-by-step explanation:
vertical angle = angles that are opposite of each other where two lines cross
complementary angle = angles that make up the sum of 90 degrees
supplementary angle = 2 angles with the sum of 180 degrees
Answer:
X intercepts: (-8,0) and (-4,0) Minimum Value: (-6,-8)
Step-by-step explanation:
Pls mark brainleist
Answer:
7 ÷ 5
Step-by-step explanation:
1/5 of 7 is equal to 1/5 times 7/1, which will simplify to 7/5, or 7 ÷ 5.
Answer:
The two numbers are -5 and -4
Explanation:
Assume that the first number is x and that the second number is x+1.
We know that the sum of their squares is 41. This means that:
x² + (x+1)² = 41
We will expand the brackets and factorize to get the value of x as follows:
x² + (x+1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
We can divide all terms by 2 to simplify the equation:
x² + x - 20 = 0 ..........> equation required in part II
Now, we can factorize this equation to get the values of x:
x² + x - 20 = 0
(x-4)(x+5) = 0
either x = 4 .........> rejected because we know that x should be negative
or x = -5 ...........> accepted
Based on the above calculations, the two numbers are -5 and -4
Hope this helps :)
Answer:
y = 1/2x + 2
Step-by-step explanation:
First you have to determine the slope which is the opposite reciprocal of the slope of the line given.
So we take the slope -2 and reciprocate and by flipping the numerator and denominator which makes it -1/2.
Then we have to make it the opposite, like making a negative into a positive or a positive into a negative. So that would make it positive 1/2.
We now have the slope which is 1/2 and not we have to make sure it goes through point (2,3).
To do that, we must adjust the y-intercept until it goes through that point. We result in getting the y-intercept of 2.
The answer is y = 1/2x + 2
