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iragen [17]
3 years ago
6

△WPJ∼△DNJ What is PWPW ? Enter your answer in the box.

Mathematics
1 answer:
Kruka [31]3 years ago
5 0
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

\frac{WP}{DN}= \frac{PJ}{NJ} 

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

\frac{WP}{87.5}= \frac{64}{56}

Solve for x. You can do it by cross-multiplication.

\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100

The measure of segment WP is 100 meters.

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Follow up question how do you do it when it's e^4?
lesya [120]
Ln 54.598... = 4 because ln = log e
5 0
3 years ago
Answer as many as you can please (write in slope-intercept form)
RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{1-13}{3-(-6)} =\frac{-12}{9}

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

y=-\frac{12}{9} x+b

3=-\frac{12}{9}(1)+b

-\frac{9}{4} =b

The slope-intercept form is y=-\frac{12}{9} -\frac{9}{4}.

For the third one, we are already given the slope, so all we have to do is find b.

y=-\frac{1}{2}x +b

-7=-\frac{1}{2} (-4)+b

-7=2+b

-9=b

The slope-intercept form is y=-\frac{1}{2} x-9.

For the last one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{-8-2}{3-1}=\frac{-10}{2}  =-5

Now that we have our slope, we can plug it into our slope-intercept form and find b.

y=-5x+b

2=-5(1)+b

2=-5+b

7=b

Our slope-intercept form is y=-5x+7.

4 0
4 years ago
What is the value of 5(a + b) when a=1 and b=6 ​
lana [24]

Answer: 35

Step-by-step explanation:

We substitute a for 1 and b for 6.

5(1+6)=5(7)=35

5 0
3 years ago
Asap asap asap asap asap asap asap
IrinaK [193]

Answer:

  4.8

Step-by-step explanation:

JK is twice as long as LM, so is 4.8 units long.

"Similar" means the sides of one figure have the same ratio as the corresponding sides of the other figure. We see that AB = 2×CD. JK corresponds to AB, and LM corresponds to CD.

__

We could bother to calculate that sides of JKLM are 1.2 times as long as the corresponding sides of ABCD, but that is not necessary. We only need to find a convenient ratio between the side we want and some other known side. I like a ratio of 2, because it is easy to double a number. We find AB=2CD, so JK=2LM=2×2.4 = 4.8.

8 0
3 years ago
Read 2 more answers
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
NNADVOKAT [17]

Answer:

70

Step-by-step explanation:

So I assumed that the x was multiplication...so...15x3=45 and 33x5=165...so the perimeter is 210, so you divide that by 3 and the answer is 70!

4 0
3 years ago
Read 2 more answers
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