Given: Line CD bisects angle ACB, angle 1 is congruent to angle 2.
Prove: Triangle CDA is congruent to triangle CDB

Cooper ran 286 miles in 21 weeks.

Answer: Equation: 27t +700 = w

Total amount of water after 17 minutes: 1159 L

Step-by-step explanation:

Equation: 27t +700 = w

let t = minutes

let w = total amount of water in pond (liters)

Total amount of water after 17 minutes: 1159 L

t = 17

therefore

27(17) +700 = 1159

Answer:

425 l

Step-by-step explanation:

Answer:

$4.05

Step-by-step explanation:

45 x 9 = 4.05

Answer:

2

Step-by-step explanation:

we know the line goes through the origin, so we have point (0,0). next, find another point the line goes through. for example, point (2,4)

the slope formula for points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). plug in the 2 points to get (4-0)/(2-0) = 4/2 = 2

Answer:

4<y

Step-by-step explanation:

1st step:9=5+y

2nd step: 9-5=y

3rd step: 4=y

4th step: 4<y

Answer:

y > 4 or 4 < y

Step-by-step explanation:

In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!

9 < 5 + y

We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.

9 - 5 < 5 + y - 5

Simplify!

4 < y  → This means that 4 is less than y. Let's rewrite this.

y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.

For more information regarding inequalities, be sure to check out the following answers!

Answer:

107/33

Step-by-step explanation:

Answer:

3 Cups of flour.

Step-by-step explanation:

∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.

Congruent angles are said to be angles that have equal measure.

From the figure, we can see that;

∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.

∠DEA and ∠CEB are congruent because they are corresponding angles

∠CAD and ∠CBD are also congruent because they are corresponding angles

Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB,  ∠CAD and ∠CBD are pairs of angles that must be congruent.

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Answer:

Dilation

Step-by-step explanation:

it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.

(i) In decimals: 0.65

(ii) In percentage: 65%

The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.

Answer:

0.65 or 65%

Step-by-step explanation:

The thing that can be deduced from Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic.

It should be noted that elasticity of demand simply means the responsiveness to demand when there's a change in price.

Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic. This is when the percentage change in quantity demanded is infinite due to the price change.

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Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

Option E

Answer:

48.57 USD

Step-by-step explanation:

Just subtract 3500 from 1800 you get 1700

then

1700 divided by 35

[tex]x^3=216\\x=\sqrt[3]{216}=6[/tex]

This is a simple example. You (should) know that [tex]6^3=216[/tex].

But you can solve it like this:

[tex]\begin{array}{r|l}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]

Therefore

[tex]\sqrt[3]{216}=\sqrt[3]{2^3\cdot3^3}=\sqrt[3]{2^3}\cdot\sqrt[3]{3^3}=2\cdot3=6[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the value of x in the equation [tex]\pmb{x^3=216}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Is x by itself? No, it's cubed, or multiplied times itself three times.

So we need to use the opposite operation.

The opposite of cubing is taking the cube root, so we take the cube root of both sides:

[tex]\star~\large\pmb{\sqrt[3]{x^3}=\sqrt[3]{216}}[/tex]

On the left, the cube root sign and the cube cancel, because they're opposite, and we're left with x.

On the right, we take the cube root of 216, which gives us:

[tex]\star~\large\pmb{x=6}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

Calculate it you will now the answer and im elementery school

Answer:

Option C

Step-by-step explanation:

A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.

Answer:

exponential growth

Step-by-step explanation:

f(x) = 4 * 2^x

This function is in the form

y = a * b^x  where a is the initial value and b is the growth or decay rate

This is  exponential form

if b > 1 then it is growth

0< b < 1 it is decay

b =2 so it is growth

Answer:

no thank you sorry 4h he'll be a great day of school and I have been a while ago but it's a good time 44

Answer:

o

Step-by-step explanation:

The 46th term of the arithmetic progression is 288.

An arithmetic progression is a series of numbers called a sequence and the difference from one interval to another is constant.

From the given information:

156, 153, 150, ...

The 46th term will be:

[tex]\mathbf{a_{46} = a+ (n - 1) d}[/tex]

[tex]\mathbf{a_{46} = 153+ (46 - 1) 3}[/tex]

[tex]\mathbf{a_{46} = 153 + (45) 3}[/tex]

[tex]\mathbf{a_{46} =288}[/tex]

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Answer:

c i think

Step-by-step explanation:

c because jesus told it was c

Answer:

20 or 40 or 50

(there are many others)

Step-by-step explanation:

A counterexample is an example that shows the statement is not true. The statement in this question is that if a number is a multiple of 10 (10, 20, 30, 40, 50, 60...) then it is a multiple of 30. Some numbers are, like 60 and 90, but not all numbers. So for example (counterexample) 20 is a multiple of 10 but NOT a multiple of 30.

40 is a multiple of 10, but NOT a multople of 30.

50 is a multiple of 10, but NOT a multiple of 30.

Answer:

True.

Keys:

Step-by-step explanation:

[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]

What was shown throughout this problem?

We showed that two different sides are capable of taking the same form.

Answer:

All equations have like terms

Answer:

D. 2.19

Step-by-step explanation:

ok so the formula for the surface area of a sphere is 4[tex]\pi[/tex][tex]r^2[/tex]

We see that 4[tex]\pi[/tex][tex]r^2[/tex]=60.

To find the radius we must isolate r on one side of the equations.

[tex]r^2[/tex]=60/4[tex]\pi[/tex]

[tex]r^2[/tex] = 4.77464829276

r = [tex]\sqrt{4.77464829276}[/tex]

That is approximately equal to 2.19

If the linear equation with one variable is x / 4 + 2 = –2. Then the value of x will be negative 16.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

x / 4 + 2 = –2

Solving for x, we have

x / 4 + 2 = –2

     x / 4 = – 2 – 2

     x / 4 = – 4

          x = – 4 × 4

          x = – 16

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Hey there!

Solve for x :

x = 6 ✅

3x - 2 = 16

>> Add 2 to both sides :

3x - 2 + 2 = 16 + 2

3x = 18

>> Divide each side by 3 :

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

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3x−2=16

Add 2 to both sides.

3x=16+2

Add 16 and 2 to get 18.

3x=18

Divide both sides by 3.

x = 18 /3

Divide 18 by 3 to get 6.

x = 6 ===> Answer

Let x = 6

3×6−2=16

18-2= 16

16 = 16

Checked ✅

Answer:

900π

Step-by-step explanation:

Hello!

The radius is represented by the function [tex]r(t) = 15\sqrt{t +2}[/tex].

The radius of the ripple can be found when [tex]t=2[/tex]

Solve:

The radius of the ripple is 30 inches

The area of a circle is calculated by the formula [tex]A = \pi r ^2[/tex]

Given the radius is 30, we can find the area of the circle.

Solve:

The value of y from the given trig expression is pi/3 rad

These identities are expressed in terms of sine, cosine and tangent

Given the expression

[tex]sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx[/tex]

Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

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Answer:

The answer is pi/4

When you input all the other values into the equation, they aren't true. When you input pi/4 the equation is true.