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3 years ago

100 PTS:Please help me now plz plz

Mathematics

2 answers:

Alex Ar [27]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2 +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

nataly862011 [7]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

Consider the right angle triangle with

base: x/2

height: 8

hypotenuse: 10

Using pythagoras theorem

10² = 8² + (x/2)²

(x/2)² = 100 - 64

(x/2)² = 36

x/2 = 6

x = 12

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In circle J with mZHLK = 18, find the mZHJK.

zysi [14]

Answer:

The measure of angle HJK is 36°

Step-by-step explanation:

In a circle, the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc

In circle J

∵ J is the center of the circle

∵ H and K lie on the circle

∴ ∠HJK is a central angle subtended by arc HK

∵ L lies on the circle

∴ ∠HLK is an inscribed angle subtended by arc HK

→ By using the rule above

∵ ∠HJK and ∠HLK are the central angle and inscribed angle

subtended by the same arc HK

∴ m∠HLK = $\frac{1}{2}$ m∠HJK

∵ m∠HLK = 18°

∴ 18 = $\frac{1}{2}$ m∠HJK

→ Multiply both sides by 2

∴ 36 = m∠HJK

∴ The measure of angle HJK is 36°

3 0

3 years ago

Write 11•47 using the distributive property. Then simplify.

Dennis_Churaev [7]

Distributive property :

a (b+c) = ab + bc

Try writing 47 = 50-3 or 47 = 40+7.

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 = 517

or

11 x 47 = 11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517

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3 years ago

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inn [45]

Answer:

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Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

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By substituting values in the given ratio,

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Exact value of y is $2\sqrt{10}$ .

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tigry1 [53]

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3 years ago