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3 years ago

Find the value of x in the below complementary angle 3x(5x+2)

Mathematics

1 answer:

Natali [406]3 years ago

7 0

Answer:

The value of x is 11

Step-by-step explanation:

Two angles are complementary if the sum of their measures is 90°

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

∴ The value of x is 11

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Here's the solution ~

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2 years ago

Is 0.047 1/100 of 4.70

LiRa [457]

Answer:

Yes!

Step-by-step explanation:

4.70 (1/100) = 4.70(.01) = .047

6 0

3 years ago

Read 2 more answers

What is the future value of 300000 with an interest rate of 17% per annum for 30 days?

Anvisha [2.4K]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$300000\\
r=rate\to 17\%\to \frac{17}{100}\to &0.17\\
t=years\to \frac{30}{365}\to &\frac{6}{73}
\end{cases}
\\\\\\
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3 years ago

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

alexgriva [62]

Answer:

The value of y is $99$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Is a proportional variation

Find the value of k

with the point $(-2.5,-5.5)$

$k=y/x=-5.5/-2.5=2.2$

The equation is equal to

$y=2.2x$

For $x=45$

substitute

$y=2.2(45)=99$

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3 years ago

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Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find the probability tha

Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$