Point D is on line segment CE.Given DE = 2 + 10, CD = 6, and CE = 3x,
determine the numerical length of DE.

For number 20:

Because a triangle is 180 degrees, we will equal all the angles we know to that. So, this is how we will write our equation:

Solve for x:

60 + x + 20 + 3x = 180

4x = 100

x = 20

Using 75, you can find the angle measure by plugging 75 where x is present in the angle measures. For example:

x = 20,

20 + 20 = 40

3(20) = 60

-

For number 21:

The shape shown is basically two triangles, so 180 x 2 is 360. Again, same procedure. Add all known angle measures and make an equation where they all equal 360.

Solve for x:

x-5+x+35+1.4x+x=360

x = 75

By isolating x, you should get an answer of 75. Now, plug that into each of the equations:

x = 75

75 + 35 = 110

75 - 5 = 70

1.4(75) = 105

t²²

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !

Answer:

rigid motion preserves the original shape and size of the figure—so the new figure after the rigid motion and the old figure before it would be congruent. 

Answer:

What is 22/30 Simplified? - 11/15 is the simplified fraction for 22/30

Answer:

2

Step-by-step explanation:

The answer is the second explanation I think

Answer:

it's the 2nd answer

Step-by-step explanation:

basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. ... The constant of proportionality does is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Constant of proportionality means slope which can be represented as y=mx+b, y=kx and a ton of other stuff I don't know.

But lets take it as y=kx because it's easier. Constant of proportionality/slope is k so its C, 5.5.

Answer:

Question wasn't specific enough but I believe the cost=$93.92

Step-by-step explanation:

15.99*3=47.97

12.99*3=38.97

plus 1.99 and 4.99, add them all together

47.97+38.97+1.99+4.99=93.92

Answer:

x is approximately 69.39 degrees.

Step-by-step explanation:

To find x in this triangle, we can use the sin rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]

The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.

So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.

This would give us the following equation:

[tex]\frac{3.5}{sin(55)} =\frac{4}{sin(x)} \\[/tex]

Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.

[tex]\frac{sin(55)}{3.5} =\frac{sin(x)}{4} \\[/tex]

From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:

[tex]\frac{4 sin(55)}{3.5} =sin(x)\\\frac{3.2766}{3.5} =sin(x)\\0.936=sin(x)[/tex]

Now the final step is to use inverse sin to cancel the sin so we just have x:

[tex]sin^{-1} 0.936=x\\x=69.39[/tex]

x is approximately 69.39 degrees.

Hope this helped!

Answer:

I believe the answer should be -5.6.

Answer:

a)30-100/1000 • 120

Step-by-step explanation:

Given:

Remaining volume of fuel in a cars tank = I - E • D

where,

I = initial volume of fuel

E = fuel efficiency

D = distance traveled.

Carson

I = 30

E = 100

D = 120

Estimated volume of fuel in Carson's tank = I - E • D

= 30 - 100/1000 * 120

a)30-100/1000 • 120

Answer:

A (30-(100/1000)x120)

Step-by-step explanation:

I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.

So ExD gives us volume quantity.

Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.

Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.

You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers

In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:

30-100/1000x120.

Hope this helps!

Answe        Step-by-step explanation:

46579765+4879+889 78+6565

Answer:

x=90=9.49

Step-by-step explanation:

compare with yours

Answer:

It's actually 13.2

Step-by-step explanation:

I just took the 7.01 Unit CheckPoint on K12

Answer:

J(4,0)

K(4,-2)

L(0,-2)

Step-by-step explanation:

4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.

3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.

if it is unclear or you need more explanation, ask freely.

Answer:

7- 32x

6v - 31

-56 - 62x

-18x - 26

11 - 10k

Am I right?

Answer:

w < -5.33333

Step-by-step explanation:

Step 1: Write inequality

12 < -1.5w + 4

Step 2: Solve for w

Here we see that any value smaller than -5.3333 will work.

Answer:

measure of angle ROQ is 41.5º

Step-by-step explanation:

That little curved line inside the angle POR and angle ROQ means they are congruent, or have congruent angles. So, we have two of the same angles, which we can represent with the same variable: x.

114-31= 83

83=2x

83/2 = 41.5

x=41.5

Answer:

$46.15

Step-by-step explanation:

[tex]71(1 - .35) = 46.15[/tex]

Answer:

$7.20

Step-by-step explanation:

We'll need to find out 40% of 12 then subtract that amount because we're still paying 60% of the original price.

Change the percent to a decimal: 0.4

Multiply the sale price and the decimal

12 · 0.4 = 4.8

Subtract 40% of the price from 12

12 - 4.8 = 7.2

The clearance price of the checker set is $7.20

Answer:

If both the board games discount and the clearance discount affect the item, this means it is 65% off. 65% of 12 is 7.8, therefore we subtract that amount from 12 and get 4.2, or $4.20.

Answer:

in 18 days

Step-by-step explanation:

that's she shortest they can do,

2*9

6*3

9*2

Answer:

1) x=√−y+5z or x=−√−y+5z

2) g=2x-4/x

Step-by-step explanation:

explanation for first problem:

Let's solve for x.

y=−x^2+5z

Step 1: Flip the equation.

−x^2+5z=y

Step 2: Add -5z to both sides.

−x^2+5z+−5z=y+−5z

−x^2=y−5z

Step 3: Divide both sides by -1.

−x^2

−1

=

y−5z

−1

x2=−y+5z

Step 4: Take square root.

x=√−y+5z or x=−√−y+5z

explanation for problem 2:

Let's solve for g.

gx=2x−4

Step 1: Divide both sides by x.

gx/x = 2x-4/x

g=2x-4/x

Answer:

D) Michelle is correct.

D) Michelle is correct

81/3=27 104/4=26

Michelle did 27 per min and Zack did 26 per min.

Answer:

∠ 3 = 50°

Step-by-step explanation:

∠ 3 and 50° are corresponding angles and congruent, thus

∠ 3 = 50°

Answer:

90

Step-by-step explanation:

you add 40+ 50 and it out to 90