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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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2(3x−5a)+9(2a−7b)+3(5a−2x)=0
alexdok [17]

Answer:

a=63b/23, b=23a/63

7 0
3 years ago
What is negative 5 and 3/4 as a fraction
Alinara [238K]

Answer:

-23/4

Step-by-step explanation:

-5\frac{3}{5}

-\frac{5x4+3}{4}

-\frac{20+3}{4}

-\frac{23}{4}

3 0
3 years ago
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
2 years ago
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0
3 years ago
Write an equation represents the number of bracelets b Carly will have if she works t hours making bracelets in the next 2 weeks
xxMikexx [17]
2(1b × t) ÷ 2 = b

or

2b × 2t ÷2 = b

PLEASE GIVE BRAINLIEST
3 0
3 years ago
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