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Cerrena [4.2K]
3 years ago
12

Given: <6 = <7

Mathematics
1 answer:
mart [117]3 years ago
8 0

∠6 is vertical to ∠5 and ∠7 is vertical to ∠8. If ∠6=∠7 then ∠5=∠8

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Y-32=-5/4(x-32) math
AleksandrR [38]

Answer:

x=3 y=4

Step-by-step explanation:

x+y=7; x + 2y =11

step: solve x + y = 7 for x:

x + y+ -y =7 + -y (add -y to both sides)

x = -y + 7

step: substitute -y + 7 for x in x + 2y =11:

x + 2y = 11

-y + 7 + 2y = 11

y + 7 =11(simplify both sides of the equation)

y + 7 + -7 = 11 + -7 (add -7 to both sides)

y = 4

step: substitute 4 for y in x = -y + 7:

x = -y +7

x = -4 + 7

x = 3 (simplify both sides of the equation)

5 0
4 years ago
What is the focus of the parabola? y=−1/4x2−x+3
alex41 [277]

Answer:  Focus = (-2, 3)

<u>Step-by-step explanation:</u>

y=-\dfrac{1}{4}x^2-x+3\\\\\rightarrow a=-\dfrac{1}{4},\ b=-1

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(-1)}{2(\frac{-1}{4})}=\dfrac{1}{-\frac{1}{2}}=-2

Then finding the maximum by inputting x = -2 into the given equation:

y=-\dfrac{1}{4}(-2)^2-(-2)+3\\\\y=-1+2+3\\\\y=4

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

a=\dfrac{1}{4p}\\\\\\-\dfrac{1}{4}=\dfrac{1}{4p}\\\\\\p=-1

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

3 0
3 years ago
Two angles are complementary. One angle is x and the other is 50 more than the first angle.
iren [92.7K]
X=40
Complementary=90 degrees
50+x=90
-50 -50
X=40
6 0
3 years ago
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Divide. Round your answer to the nearest tenth. 85.5233 - 0.215?​
Sedbober [7]

Answer:

85.5233 divided by 0.215 = 397.8

Step-by-step explanation:

8 0
3 years ago
If the ratio of oil to gas is 1 to 16 which of these should not be used in a mower?
svlad2 [7]
B should not be used in mower
3 0
3 years ago
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