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igor_vitrenko [27]
3 years ago
12

2 intersecting lines are shown. A line with points M, H, K intersects a line with points L, H, J at point H. 4 angles are create

d. Clockwise, from the top, the angles are (5 m + 100) degrees, blank, blank, (2 m + 10) degrees. What is the value of m? 10 30 70 150

Mathematics
2 answers:
yulyashka [42]3 years ago
5 0

Answer:

m = 10

Step-by-step explanation:

According to the picture attached, we can see the angles formed.

The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.

So,

5m+100+2m+10 = 180

5m+2m=180-100-10

7m = 70

m = 10

s344n2d4d5 [400]3 years ago
3 0

Answer:

m=10

Step-by-step explanation:

180=7m+110

7m=70

m=10

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2 years ago
In the diagram below, AB = BD = BC, and mZA = 24°. Find<br> mZC.
snow_tiger [21]

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

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Since ∠BCD = ∠BDC, then

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3 0
2 years ago
if your car gets 26 miles per gallon how much does it cost to drive 420 miles when gas is $2.80 per gallon​
Kitty [74]

Answer:

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Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:

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Softa [21]

Answer:

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AveGali [126]

Answer:

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Step-by-step explanation:

5 0
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