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babunello [35]
2 years ago
5

Use the side-splitter theorem to solve for x in the triangle below.

Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

\frac{x}{21} = \frac{8}{24}

Solve for x

\frac{x}{21} = \frac{1}{3}

Multiply both sides by 21

\frac{x}{21}*21 = \frac{1}{3}*21

x = \frac{21}{3}

x = 7

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three adults and four children must pay $107. two adults and three children must pay $76. find the price of the adult ticks and
jenyasd209 [6]
Assigning "a" as cost of adult tickets and "c" the cost of children's tickets.

3a + 4c = 107
2a + 3c = 76

elimination method
2(3a + 4c = 107)
-3(2a + 3c = 76)

6a + 8c = 214
-6a - 9c = -228
----------------------
0 - c = - 14
c = 14

Then 2a + 3(14) = 76
2a = 76 - 42
2a = 34
a = 34/2
a = 17


8 0
3 years ago
PQ=2x+1 and QR=5x-44; Find PR
Dima020 [189]

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

4 0
3 years ago
Angle a measured 59 degrees. if angle a is rotated 45 degrees, what is the measurement of angle a’?
sp2606 [1]
HAHA funny. The angle stays the same. 59 degrees.

8 0
3 years ago
Read 2 more answers
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. T
lidiya [134]

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

7 0
2 years ago
What is the product
Talja [164]

Answer:

6  12  2

0  0  0

0  6  2

Step-by-step explanation:

multiply each single number in each row with the number in the same row but across the multiplication symbol.

3 x 2 = 6

6 x 2 = 12

etc

6 0
3 years ago
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