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1 year ago

Find the measure of angle A when two angles are congruent?

Mathematics

1 answer:

erica [24]1 year ago

4 0

m∡A = 70º

1) Considering that the Sum of the interior angles within a triangle is always 180º

2) We can write the following, and solve for x

x+80 + x +80 +40 = 180

2x +160 +40 = 180

2x + 200 = 180

2x =180-200

2x= -20

x=-10

3) So since angle A = x +80, we can plug it into that the value of x

m∡A = x +80º

m∡A=-10+80

m∡A = 70º

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I forgot what's 646,780 times 547,890 please respond

patriot [66]

646,780 times 547,890 is 354,364,294,200.

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3 years ago

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold 17.96 ounces of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

Taking the value $\pi$ = 3.14.

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$18=12.56h$

Dividing both sides by 12.56 we get:

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0

3 years ago

For a circle of raduis 6feet, find the arc length of a central angle of 6

murzikaleks [220]

Length of a circumference=2πr
r=radius=6 feet.
lengt of this circumference=2π6 feet=12π feet.

1 circumference=360º; then:

360º-------------------12π feet
6º---------------------- x

360º * x=6º * 12π feet
x=(6º * 12π feet) / 360º=π/30 feet (≈0,105 feet).

Solution: π/30 feet

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3 years ago

Given that f(x) = 5x2 − 100 = 0, find x

deff fn [24]

Answer:
The answer is x=2i√5,−2i√5

4 0

1 year ago

Das has 3/4 of bottle of water.He drinks 3/8 of the bottle.How much of the bottle dose he have left?

sesenic [268]

Answer:

3/8

Step-by-step explanation

Convert 3/4 to 6/8 to make it easier subract since this problem asks how much he has left.

So 6/8-3/8=3/8

4 0

3 years ago