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krok68 [10]
3 years ago
7

Which are two ways to represent the slope, m, of the line shown?

Mathematics
1 answer:
enot [183]3 years ago
7 0
A is the correct answer
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The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
bearhunter [10]

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

5 0
3 years ago
I am having trouble with this question. ​
a_sh-v [17]

Answer:

x=12√2

y=45°

Step-by-step explanation:

as we know diagonal of a square

=a√2

=12√2

and

y=45°

8 0
3 years ago
I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25
juin [17]

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

3 0
3 years ago
Thuy drives 270 miles in 6 hours. How many miles does Thuy drive in 13 hours ​
yan [13]

Answer:

Hi there!

The answer is;

585 miles per 13 hours

Step-by-step explanation:

270 miles per 6 hours

/6 to determine miles per hour

45 miles per 1 hour

× 13 to determine miles per 13 hours

585 miles per 13 hours

Hope this helps!

4 0
3 years ago
Aspen bakery sold 40 boxes of rolls in one day. Each box holds 6 rolls. How many rolls did the bakery sell?
Gnom [1K]
40 boxes * 6 rolls = 240 rolls
7 0
3 years ago
Read 2 more answers
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