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vekshin1
3 years ago
8

Final test need help on this question

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

x = 21 degrees

Step-by-step explanation:

Vertical angles are always congruent.

3x + 67 = 130

3x = 130 - 67

3x = 63

<u>x = 21</u>

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A road rises 50 feet over a horizontal distance of 600 feet. What is the slope of the road?
Hatshy [7]

Answer:

1/12 (or 0.833)

Step-by-step explanation:

Recall that the definition of "slope" is the change in vertical distance divided by the change in the horizontal distance. (aka. rise ÷ run)

it is given that rise = 50 feet and the horizontal distance (i.,e "run") = 600feet

hence slope = rise / run = 50 / 600 = 1/12 (or 0.833)

6 0
3 years ago
Read 2 more answers
In T-ball, the distance to each successive base is 50 feet. If the distance from home plate to the pitcher’s mound is 38 feet, h
JulijaS [17]

Answer:

<h2>The distance from the pitcher's mound and to second base is 37.99 approximately.</h2>

Step-by-step explanation:

The diamond is a square, which in this case has 50 feet long each side, and from home to pitcher is 38 feet. Notice that home is a vertex of the square and the pitcher's mound is the intersection of the diagonals, where they cut half.

We can find the distance from the pitcher to first base using Pythagorean's Theorem, where 50 feet is the hypothenuse.

50^{2} =38^{2}+x^{2}\\x^{2}=50^{2}-38^{2}\\x=\sqrt{2500-1444}\\ x=\sqrt{1056}\\ x \approx 32.5 \ ft

Therefore, the distance from the pitcher to first base is 32.5 feet, approximately.

Now, we can use again Pythagorean's Theorem to find the distance from pitcher to second base, where the hypothenuse is 50 feet.

50^{2}=32.5^{2}+y^{2}\\y^{2}=50^{2}-32.5^{2}\\y=\sqrt{2500-1056.25}\\ y =\sqrt{1443} \approx 37.99

Therefore, the distance from the pitcher's mound and to second base is 37.99 approximately.

<em>(this results make sense, because the diagonals of a square intersect at half, that means all bases have the same distance from pitcher's mound, so the second way to find the distance asked in the question is just using theory)</em>

8 0
3 years ago
Can someone pls answer these two math questions?​
Vlad [161]
That’s harddddd lol
7 0
3 years ago
One book costs £1.9E how much do three books cost
ArbitrLikvidat [17]
5.7 pounds. im not sure what the "E" is for but 1.9X3 equals 5.7
4 0
4 years ago
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Is the graph increasing, decreasing, or constant?
Rina8888 [55]

Answer:

The answer is A increasing

Step-by-step explanation:

3 0
3 years ago
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