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3 years ago

In the figure,kj and kl are opposite rays.1=2 and km bisects nkl

Mathematics

2 answers:

Bess [88]3 years ago

6 0

the picture in the attached figure

we know that

m∠1+m∠2+m∠3+m∠4=180°

m∠jkm=m∠1+m∠2+m∠3

m∠jkm+∠4=180°

m∠jkm=5x+18

∠4=x

substitute

(5x+18)+x=180°------> 6x=180-18------> x=162/6--------> x=27°

therefore

the answer is

the measure of angle 4 is equal to 27 degrees

laila [671]3 years ago

3 0

Answer:

The correct answer is 43

Step-by-step explanation:

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The volume of a CONE-shaped hole is 75pi ft cubed. If the hole is 9 feet deep, what is the radius of the hole?

Arturiano [62]

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole = $\frac{1}{3} \pi r^2 h$

So, Volume of conical hole = $\frac{1}{3} \pi \times r^2 \times 9$

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So, $\frac{1}{3} \pi \times r^2 \times 9=75 \pi$

$\frac{1}{3} \times r^2 \times 9=75$

$r^2=\frac{75 \times 3}{9}$

$r=\sqrt{\frac{75 \times 3}{9}}$

r=5

Hence The radius of hole is 5 feet

6 0

3 years ago

In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.

dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

3 0

3 years ago

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John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?

earnstyle [38]

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

7 0

3 years ago

What are the zeros of this polynomial and state their multiplicity at each <br> y=(x-5)(x+2)^2

N76 [4]

Answer:

Step-by-step explanation:

The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.

This polynomial is already factored so set each to 0 and solve for x.

$x-5=0\\x=5\\(x+2)^{2}=0 \\(x+2)=0\\x=-2$

This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.

(x+5) occurs once since it has exponent 1.

$(x+2)^{2}$ occurs twoce since it has exponent 2.

x=5 mult. 1, x=-2 mult. 2

7 0

3 years ago

Given: x+y=10

Lorico [155]

Answer:31

Step-by-step explanation:

6 0

3 years ago

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