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Sveta_85 [38]
4 years ago
9

Find the length of KE. A. 30 B. 28 C. 15 D. 3

Mathematics
2 answers:
Vedmedyk [2.9K]4 years ago
8 0

Answer:

B

Step-by-step explanation:

2 angles and one side of one ΔBCE≡ 2 angles and one side of ΔKCE.

∴BE=KE

7p+7=37-3p

7p+3p=37-7

10p=30

p=3

KE=37-3p=37-3×3=37-9=28

Alenkasestr [34]4 years ago
5 0

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

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Wai Kit had $45 more than Cheryl and 0.25 of what Zheng Yi had. If they had $510 altogether, how much less money did Cheryl have
GenaCL600 [577]

Step-by-step explanation:

Wai 1unit+45

Cheryl 1unit

Zheng 4units+180

Altogether 6units+225=510

6units = 510-225

6units=285

1unit=285÷6

= $47.5

So Wai =47.5+45 = 92.5

Cheryl =47.5

Zheng =4×47.5+180 =370

370-47.5=$322.5

Answer $322.5

4 0
2 years ago
How many solutions does the following equation have? (5 points)<br> 4x+ 12 = 0
zhenek [66]
One solution ! Which is x=-3
8 0
3 years ago
Find the perimeter pf a rectangular parking lot that has a width of 3x+2 and a<br> length of 5x-7.*
uranmaximum [27]

Answer:

<u>Perimeter</u><u> </u><u>is</u><u> </u><u>1</u><u>6</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>0</u>

Step-by-step explanation:

{ \sf{perimeter = 2(length + width)}} \\ p = 2 \{(5x - 7) + (3x + 2) \} \\ p = 2(8x - 5) \\ p = 16x - 10

8 0
3 years ago
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0
4 years ago
CosA.cosecA=cotA can you please help me with this
chubhunter [2.5K]

CscA = 1/sinA

CosACscA = cosA × 1/sinA = cosA/SinA = cotA

3 0
3 years ago
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