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Svetllana [295]
3 years ago
10

How do i solve this? ASAP!

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

Similar triangles states the length of the  corresponding sides are in proportion.

In a given similar triangles:

Labelled the diagram:

Triangle BAC and triangle DAC are similar.

then;

Corresponding sides:

\frac{AB}{AD} = \frac{BC}{DC}

AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

\frac{x}{15} = \frac{5}{3}

By cross multiply we get;

3x = 15 \cdot 5

Simplify:

3x = 75

Divide both sides by 3 we get;

\frac{3x}{3}=\frac{75}{3}

Simplify:

x = 25 units

Therefore, the value of x is 25 units.

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( Rachel needs to write 3 book reports with b pages 3 science report with s pages during the school year write an algebra expres
artcher [175]
Anwser: 3b+3s

step by step explanation:
5 0
3 years ago
John scored 48, 59, and 62 points. His average score was 60%. What was the last score to make it average?
solniwko [45]

Answer:

Hello! Your answer is 71.

Step-by-step explanation:

(48+59+62+71) =240

240 ÷ 4 = 60.

The 4 is the four different points he got.

The 60 is the average percent.

HOPE THIS HELPS!

7 0
3 years ago
Read 2 more answers
Which ordered pair would form a proportional relationship with the point graphed below?
earnstyle [38]

Answer:

(5, 20)

Step-by-step explanation:

7 0
2 years ago
Find the missing length ‘x’
givi [52]

Answer:

x = 13

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here A = 55, h = 5. b₁ = x, b₂ = 9, then

\frac{1}{2} × 5 × (x + 9) = 55

2.5(x + 9) = 55 ( divide both sides by 2.5 )

x + 9 = 22 ( subtract 9 from both sides )

x = 13

7 0
3 years ago
A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
melomori [17]

probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269

<u>Step-by-step explanation:</u>

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

  • an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{8}{52}

⇒ probability = 0.1538

  • a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{(13+4=17)}{52}

⇒ probability = \frac{(17)}{52}

⇒ probability =0.3269

Therefore, probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269
8 0
3 years ago
Read 2 more answers
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