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Ipatiy [6.2K]
3 years ago
6

Which polynomial, when added to the polynomial 5x^2–3x–9, is equivalent to: x^2–5x+6?

Mathematics
1 answer:
inn [45]3 years ago
8 0
Look at the attachment

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If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

8 0
3 years ago
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.
Roman55 [17]
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.


5/2 miles per hour

(3/4÷1/4)=3 miles per hour☆☆☆☆☆☆☆

41/4 miles per hour

4 miles per hour
8 0
3 years ago
Analyze the diagram below and complete the instructions to follow.<br><br> Find a, b and c
Feliz [49]

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6

5 0
2 years ago
Whats 926 divided by 30
balandron [24]

30.87 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{926}{30}  \\  = 30 \frac{26}{30}  \\ ( \: or \: ) \\  = 30.8666 \\  = 30.87

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
2 years ago
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for
Anestetic [448]

Answer:

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

Step-by-step explanation:

P.S - The exact question is -

Given - The Music Express is going to buy music bundles from a

             company that is going out of business. The company

             charges different amounts for bundles of pop and rock

             music:

             Cost for each pop music bundle is $1200

             Cost for each rock music bundle is $950

             One - time fee for rights to the pop music is $300

             One - time fee for rights to the rock music is $250.

To find - Write an equation that represents the total cost for pop

               music bundles.

              Write another equations to represent the total cost for rock

              music bundles.

              Identify the variables in the equations.

Proof -

Given that,

Cost for each pop music bundle is $1200.

Cost for each rock music bundle is $950.

One - time fee for rights to the pop music is $300.

One - time fee for rights to the rock music is $250.

Let the total music bundles buy = x

Now,

Given, Cost for 1 pop music bundle = $1200

⇒Cost for x pop music bundles = $ 1200 x

Also given,

One - time fee for rights to the pop music is $300.

∴ we get

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Now,

Given, Cost for 1 rock music bundle = $950

⇒Cost for x pop music bundles = $ 950 x

Also given,

One - time fee for rights to the pop music is $250.

∴ we get

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

5 0
2 years ago
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