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2 years ago

Find the unknown angle measure by solving for the given variable

Mathematics

1 answer:

tiny-mole [99]2 years ago

3 0

A straight line is 180°. So you can do:

(15x - 4) + (5x - 8) = 180 Simplify

20x - 12 = 180

20x = 192 Find the value of x

x = 9.6

m∠ABD = 15x - 4 Plug in x = 9.6

m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

m∠DBC = 5x - 8 Plug in 9.6

m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°

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Help please <br> Right angle triangle

baherus [9]

Answer:

h ≈ 11.9

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find h

cos24° = $\frac{adjacent}{hypotenuse}$ = $\frac{h}{13}$

Multiply both sides by 13

13 × cos24° = h

⇒ h = 11.9 cm ( to 1 dec. place )

8 0

2 years ago

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A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel

Sliva [168]

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

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1 year ago

HELP!!! PLEASE!!!!

yuradex [85]

Answer:

50 degrees.

Step-by-step explanation:

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4 0

3 years ago

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Alan has pound of cherries and pound of grapes.

olasank [31]

4
Step by step explanation

7 0

2 years ago

Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s

AleksandrR [38]

Fraction of shampoo left = $\frac{13}{24}$

Solution:

Given fraction of full shampoo $=\frac{7}{8}$ .

Fraction of shampoo Margaret used $=\frac{1}{3}$

Fraction of shampoo left = Full shampoo – fraction of shampoo used

$=\frac{7}{8}-\frac{1}{3}$

To make the denominators same do cross multiplication.

$=\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}$

$=\frac{21}{24}-\frac{8}{24}$

$=\frac{21-8}{24}$

$=\frac{13}{24}$

Hence $\frac{13}{24}$ of the shampoo bottle is left.

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2 years ago