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Wewaii [24]
3 years ago
11

In the diagram ABC is congruent to DEF. aging the values of x and y

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

x = 1, y = 46

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, then

DE = AB , that is

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

and

∠ C = ∠ F

10x + y = 56 ( substitute x = 1 )

10(1) + y = 56

10 + y = 56 ( subtract 10 from both sides )

y = 46

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It takes a word processor 26 minutes to word process and spell check 6 pages. Find how long it takes her to word process and spe
zalisa [80]

Answer:

It takes the word processor 117 minutes to word process and spell check 27 pages.

Step-by-step explanation:

With the information provided, you can use a rule of three to find how long it would take to word process and spell check 27 pages given that it takes 26 minutes to word process and spell check 6 pages:

6 pages   →  26 minutes

27 pages  →          x

x=(27*26)/6=117 minutes

According to this, the answer is that it takes the word processor 117 minutes to word process and spell check 27 pages.

6 0
3 years ago
The area of Brians rectangular Garden in square feet can be found by using the expression 6(2 x + 5y) Use the distributive prope
algol [13]
Given the area, to rewrite the function using distributive property we get:
6(2x+5y)
using distributive property we open the parenthesis, this will give us:
6×2x+6×5y
simplifying the above we get
=12x+30y

Answer: 12x+30y
6 0
3 years ago
Calculate the average rate of change over the interval 2
Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

<u />

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

<u>y = 3x + 5</u>

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>

<u />

<u>y = 3x^2 + 1</u>

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>

<u />

<u>y = 3^x</u>

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>

8 0
3 years ago
Find the point-slope equation for the line
rusak2 [61]

Answer:

y-10=5(x-15)

Step-by-step explanation:

Slope =5

15-10/16-15=5

Then plug in 10 as the y1 and 15 as y2.

3 0
3 years ago
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m
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To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2
5 0
3 years ago
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