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tigry1 [53]
2 years ago
11

Directions: Solve for x.

Mathematics
1 answer:
KonstantinChe [14]2 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\frac{AB}{AD}=\frac{AC}{AE}

\frac{x+18}{x}=\frac{28}{(28-21)}

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = \frac{126}{21}

x = 6

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In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer
inysia [295]
The answer is AB = 6.

External value x (external value + internal value) = 
External value x (external value + internal value) of the other side

Substitute, transpose, and simplify.

TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4

To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6

3 0
3 years ago
Arjun can type 40 words per minute.Dalia can type 55 words per minute.If Arjun and Dalia each type for 30 minutes,about how many
Citrus2011 [14]
♥ Solve:
(Arjun) 40*30=1200
(Dalia) 55*30=1650
Now subtract
1650-1200=450.
That means that Dalia will type 450 minutes more. 
Final answer: 450 

8 0
3 years ago
Read 2 more answers
Cheryl can travel 21.6 miles on one gallon of gas. how far can cheryl travel on 6.2 gallons of gas?
boyakko [2]
21.6 miles per gallon

Multiplied by 6.2 gallons 

21.6 * 6.2 = 133.92

Cheryl can travel 133.92 (or about 134) miles on 6.2 gal. of gas.

Hope that helped!
6 0
3 years ago
Solve for x. Show each step please . Circle your final answer. <br> 2(8-12x)+8x= -25x+52
Vera_Pavlovna [14]

Answer:

x = 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(8−12x)+8x=−25x+52

(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)

16+−24x+8x=−25x+52

(−24x+8x)+(16)=−25x+52(Combine Like Terms)

−16x+16=−25x+52

−16x+16=−25x+52

Step 2: Add 25x to both sides.

−16x+16+25x=−25x+52+25x

9x+16=52

Step 3: Subtract 16 from both sides.

9x+16−16=52−16

9x=36

Step 4: Divide both sides by 9.

9x/9 = 36/9

x = 4

8 0
3 years ago
Can somebody please help!!! giving brainliest and please explain!
baherus [9]

Answer:

34 ft

Step-by-step explanation:

Total fencing is the total boundary.

Which is equal to the Perimeter

2[6 + 11]

2(17)

34

3 0
3 years ago
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