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3 years ago

Determine the value of y that maintains the congruence of the figures.

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

Answer:

We conclude that the value of y = 11 cm.

Step-by-step explanation:

Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.

Thus,

The length of DQ = The length of EL

Given

The length of DQ = 3y - 1

The length of EL = 32 cm

The length of DQ = The length of EL

3y - 1 = 32

Adding 1 to both sides

3y - 1 + 1 = 32+1

3y = 33

Dividing both sides by 3

3y/3 = 33/3

y = 11

Thus, the value of y = 11 cm

Therefore, we conclude that the value of y = 11 cm.

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I don’t know how to find the answer to number 10

Igoryamba

The student mixed the letters. If you swicth the order of the letters then the equation would be true. y=4x. So if you plug in all the numbers into the equation you get the correct value for why. For example 4×2=8, 4×4=16, and so on.

8 0

3 years ago

Read 2 more answers

Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.

nikdorinn [45]

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

$\displaystyle S = \frac{k}{2}\left( a + x_k\right)$

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

$\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}$

In conclusion, the sum of the arithmetic series is 2717.

3 0

3 years ago

Due to delays a company had to extend a project from 28 days to 76 days. What was the percentage increase in time to complete th

mr Goodwill [35]

Answer: $171.4\%$

Step-by-step explanation:

Given

Time is extended from 28 days to 76 days

The percentage increase is given by

$\Rightarrow \dfrac{\text{New-original value}}{\text{original value}}\times 100$

Putting values

$\Rightarrow \dfrac{76-28}{28}\times 100=\dfrac{48}{28}\times 100\\\\\Rightarrow 171.4\%$

Thus, the percentage increase in time is $171.4\%$

3 0

3 years ago

Find the trace on the xy-plane of the sphere having center at (−1, 3, −1) and radius 2.

ra1l [238]

Hi,

The sphere has for equation :(x+1)²+(y-3)²+(z+1)²=4
The xy plane has for equation z=0
The trace off the sphere in the xyplane is
(x+1)²+(y-3)²=4 (the circle of center (-1,3,0) &nd 2 as radius)

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4 years ago

What is the slope of the graphed line

lianna [129]

Answer:

3/9 or 1/3 is the slope

Step-by-step explanation:

yeah

6 0

3 years ago