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2 years ago

15

Solve for X. Please solve this.

1 answer:

Alika [10]2 years ago

3 0

Answer:

32

Step-by-step explanation:

Opposite angles are congruent, so Angle <em>BAC</em> is 58 degrees.

Line KL and FG are perpendicular (forms a 90 degree angle), so Angle ABC is 90 degrees.

Points ABC form a triangle, and the interior angles of a triangle must add up to 180 degrees.

Thus, 58 + 90 + Angle <em>BCA</em> = 180. Solving for BCA, we get 32 degrees. Since Angle GCJ is opposite to BCA, x is 32 degrees.

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A+ 2b = 10 2a + b =6

GenaCL600 [577]

First you can solve for b: Subtract a on both sides and get 2b=-a+10, then divide by 2 to get b by itself and get: b=-1/2a+5

Then you can plug in this equation for b in the other: This would give you: 2a+-1/2a+5=6. Then you can use that equation to solve for a and get: 1.5a+5=6, subtract 5, 1.5a=1, divide by 1.5, a=1/1.5

Then you can plug in the value of a to solve for b.

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3 years ago

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What is the image of (-4,-2) after a reflection over the y=-x

vodka [1.7K]

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

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3 years ago

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

<em>Hence, the perimeter is 38.6</em>

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3 years ago

Jon, Leroy, and Simon are having a free-throw shooting contest. Each boy

Zolol [24]

Answer:

B

Step-by-step explanation:

If you arrange a statistics in order from least to greatest, the middle number is the median.

If there is even number of numbers in a list, let it be n numbers, then we take the average of n/2th and n/2 + 1 th terms.

Here, all of them have 6 numbers, so 6/2 = 3 and 4th, we take average of 3rd and 4th number to find the median.

Since they are arrange in order we check each:

Jon = average of 6 and 7, (6+7)/2 = 6.5

Leroy = average of 6 and 8, (6+8)/2 = 7

Simon = average of 5 and 6, (5+6)/2 = 5.5

Leroy's median is the greatest (7).

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3 years ago

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What is the sum of 3.6 x 10^3 and 6.1 x 10^3?

g100num [7]

9.7 x 10^3

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3 years ago

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