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1 year ago

Solve x please explain

Mathematics

2 answers:

Anna [14]1 year ago

8 0

Answer:

x = 4

Step-by-step explanation:

co interior angles add up to 180.

this means that: 48 + 34x - 4 = 180

thus 48 + 34x = 184

therefore, 34x = 136

so, x = 4.

igomit [66]1 year ago

6 0

<h2>Angle Relationships</h2>

The two angles labeled in the given diagram are interior angles on the same side of the transversal. They can also be called interior supplementary angles.

These angles have a sum of 180 degrees.

<h2>Solving the Question</h2>

The two angles given have measures of 48 degrees and (34x-4) degrees.

They have a sum of 180 degrees.

Form an equation:

$48+(34x-4)=180\\48+34x-4=180\\44+34x=180\\34x=180-44\\34x=136\\x=4$

<h2>Answer</h2>

$x=4$

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Mrs. Gonzales has only $63.50 to spend at a clothing store. She wants to buy a shirt that costs $28, including tax, and some bra

ehidna [41]

Answer:

Mrs. Gonzales can buy a maximum of 7 bracelets.

Step-by-step explanation:

A shirt costs $28 total.

Bracelets cost $4.50 each total.

Mrs. Gonzales has $63.50 in all, assuming she wants to spend all of it.

Set the equation, let bracelets be denoted by the variable, x.

4.50x + 28 = 63.50

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

4.50x + 28 (-28) = 63.50 (-28)

4.50x = 63.50 - 28

4.50x = 35.50

Next, divide 4.50 from both sides of the equation:

(4.50x)/4.50 = (35.50)/4.50

x = 35.50/4.50

x = ~7.89

However, note that you cannot round up, as you are buying. You also cannot buy .89 of a bracelet, so round down.

x = 7

Mrs. Gonzales can buy a maximum of 7 bracelets.

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2 years ago

if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.

Marrrta [24]

Answer:

$\large\boxed{H=135\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

$V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

$\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm$