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2 years ago

∠C and ∠D are vertical angles.

Mathematics

2 answers:

denis-greek [22]2 years ago

8 0

Vertical angles is the same angle, but we don't know "x". If you look in a way. We can do 180=(3x+80).

100=3x

100/3 = x

Now we have the answer for x we plug it in to get the answer.

3(100/3) + 80 =<D

<D = <C

GrogVix [38]2 years ago

4 0

Answer: The required measure of angle C is 20°.

Step-by-step explanation: Given that ∠C and ∠D are vertical angles, where

m∠C=x° and m∠D=(−3x+80)°.

We are to find the measure of angle C.

We know that the measures of two vertical angles are equal.

So, according to the given information, we must have

$m\angle C=m\angle D\\\\\Rightarrow x^\circ=(-3x+80^\circ)\\\\\Rightarrow x=-3x+80\\\\\Rightarrow x+3x=80\\\\\Rightarrow 4x=80\\\\\Rightarrow x=\dfrac{80}{4}\\\\\Rightarrow x=20.$

Thus, the required measure of angle C is 20°.

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A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each

zvonat [6]

Answer:

x = 50

R = $2500

Step-by-step explanation:

Given in the question a quadratic equation,

−x² + 100x

To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x

The value of -b/2a tells you the value x of the vertex of the function

−x² + 100x

here a = -1

b = 100

Selling price = -(100)/2(-1)

= 50

R = −(50)² + 100(50)

= 2500

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3 years ago

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insens350 [35]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.If you plan to use 5 cups of flour,how much butter shoul

Komok [63]

Answer:

$\frac{3}{2}$ cups of butter should be use to keep the same ratio.

Step-by-step explanation:

Given:

A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.

If you plan to use 5 cups of flour.

Now, to find the butter should be used to keep the same ratio.

So, to get the quantity of butter by using unitary method:

If, $\frac{5}{6}$ cup of flour use then butter should be = $\frac{1}{4}$ .

So, 1 cup of flour use then butter should be = $\frac{1}{4} \div \frac{5}{6}$ = $\frac{6}{20}$ .

Thus, for 5 cups of flour butter should be = $\frac{6}{20} \times 5$ = $\frac{30}{20}=\frac{3}{2}$ .

Therefore, $\frac{3}{2}$ cups of butter should be use to keep the same ratio.

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3 years ago

Is 97 an irrational number?

user100 [1]

Answer:

No 97 is not an irrational number 

Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu

yaroslaw [1]

Answer:

Volume of the rolling pin = 246.09 $in^{3}$

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 ( $\pi r^{2}L$ )

Volume of two handles = 2 (3.14 × $0.75^{2}$ × 3 )

Volume of two handles = 10.59 $in^{3}$

Volume of larger cylinder = ( $\pi r^{2}L$ )

Volume of larger cylinder = (3.14 × $2.5^{2}$ × 12 )

Volume of larger cylinder = 235.5 $in^{3}$

Volume of the rolling pin = 10.59 + 235.5

Volume of the rolling pin = 246.09 $in^{3}$

6 0

2 years ago