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swat32
3 years ago
5

A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot

tom sides of the gate to be parallel
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

3 and 2

Step-by-step explanation:


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Solve for x <br> Need help asap
vlabodo [156]

Answer:

x=55

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of 2x+6 corresponds with the angle marked as x+9. Therefore, its measure must also be x+9.

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

2x+6+x+9=180

Combine like terms:

3x+15=180

Subtract 15 from both sides:

3x=165

Divide both sides by 3:

x=\frac{165}{3}=\boxed{55}

3 0
3 years ago
1 - (2n + 9) = 4(1-2)
Vikki [24]

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

6 0
3 years ago
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There are 2 cats on each house roof, and there are 15 cats on the ground. The table shows how the number of cats, c, depends on
Nuetrik [128]

Answer: c = 2h + 15

Step-by-step explanation: Each house (h) adds 2 cats. We represent that with 2h. Then we add the constant 15 on the ground as +15.

4 0
3 years ago
maximize P=9x+9y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than 0 What is the
Inga [223]
Find the intersection point between the 2 restraint equations:
30 - 2x = 12 - \frac{1}{2} x  \\ \frac{3}{2} x = 18  \\  x = 12

Substitute back in to find y-value:
y = 30 - 2(12) = 6

P is maximized at point (12,6)
P = 9(12)+9(6) = 162
3 0
3 years ago
Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a while
Ratling [72]
Letter c
Letter c
Letter c
Letter c
Letter c
4 0
3 years ago
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