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Masja [62]
3 years ago
10

Work out the value of angle x

Mathematics
2 answers:
Alexus [3.1K]3 years ago
8 0

well, it's isosceles so use base angles theorem

the top angle is also x

90 + 2x = 180

subtract 90 from both sides

2x = 90

divide both sides by 2

x = 45 degrees

Gnesinka [82]3 years ago
6 0

Answer:

x = 45 degrees

Step-by-step explanation:

from the picture, we can see that the triangle is:

1) a right triangle (i.e one of the angles is 90 degrees)

and

2) An isosceles triangle (i.e two side lengths are equal)

Recall that for an isosceles triangle, the base angles (i.e the angles that are not 90 degrees) are identical.

In our case, we are given one of the base angles as x. By the above reasoning, the other missing base angle must also be x. Hence the three internal angles of the given triangle are 90 deg, x deg and x deg.

Also recall that the sum of the internal angles of a triangle must add up to 180 deg, hence,

90 + x + x = 180 deg   (solve for x)

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 90 / 2

x = 45 deg

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In the United States, the distribution of a female's height has a mean of 64 inches with a standard deviation of 3 inches. How m
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Answer:

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Step-by-step explanation:"

Given mean female height = 64 inches and standard devaiton = 3 inches and 69 inches tall is Sally.

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5 0
3 years ago
Gary made 5 baskets than Susan this season bill made 3 less then twice as many baskets as Susan. Together, all three made 42 bas
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Answer:Gary made 15 baskets.

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Step-by-step explanation:

Let x represent the number of baskets that Gary made.

Let y represent the number of baskets that Susan made.

Let z represent the number of baskets that Bill made.

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Bill made 3 less than twice as many baskets as Susan. This means that

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3 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
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Answer:

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Step-by-step explanation:

You are given the function f(x)=2x-10. To find the inverse function f^{-1}(x) do such steps:

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2. Express x in terms of y:

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3. Change x into y and y into x:

y=\dfrac{x}{2}+5

Now, the inverse function is

f^{-1}(x)=\dfrac{x}{2}+5

7 0
4 years ago
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