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2 years ago

The angles below are supplementary. What is the value of x? (5 points)

Mathematics

2 answers:

aniked [119]2 years ago

7 0

4x + 20 + 40 = 180
4x + 60 = 180
4x = 120
x = 30

SpyIntel [72]2 years ago

4 0

Answer:

x = 30

Step-by-step explanation:

Angles on a line equal 180

4x + 20 + 40 = 180

4x + 60 = 180

Minus 60 on both sides.

4x = 120

Divide by 4 on both sides.

x = 30

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A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)

sweet [91]

Answer:

0.05 im pretty sure to my calcutor

Step-by-step explanation:

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3 years ago

If $8259 principal is invested in a savings account that pays 5.25% interest compounded continuously how much money will be in t

VMariaS [17]

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50

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3 years ago

Lydia graphed ADEF at the coordinates D (-2,-1), E (-2, 2), and F (0,0). She thinks ADEF is a right triangle. Is Lydia's asserti

Setler79 [48]

The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

<h3>Right triangles </h3>

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

D = (-2,-1)
E = (-2,2)
F = (0,0)

<h3>Slopes</h3>

Start by calculating the slopes of lines DF and EF using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{DF} = \frac{0 + 1}{0 +2}$

$m_{DF} = \frac{1}{2}$

Also, we have:

$m_{EF} = \frac{0 -2 }{0+2}$

$m_{EF} = \frac{-2 }{2}$

$m_{EF} = -1$

For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.

i.e.

$m_1 = -\frac{1}{m_2}$

By comparison, the slopes of both lines are not opposite reciprocals.

Hence, the true statement is (c)

Read more about right triangles at:

brainly.com/question/17972372

7 0

2 years ago

Read 2 more answers

In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains

liraira [26]

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

5 0

3 years ago

Julie has 4/3 cups of flour.She needs 2/5 cups of flour.How will she get the amount.

valentina_108 [34]

Answer:

Step-by-step explanation:

You need to set up a ratio for the original recipe and then use that ratio for the new one.

If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4

The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:

3/4 = 9/?

In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.

8 0

3 years ago