All categories

2 years ago

Think carefully about the angle relationship the following represents.

Mathematics

2 answers:

Igoryamba2 years ago

8 0

Linear pair

$\\ \rm\Rrightarrow 2x+48=180$

$\\ \rm\Rrightarrow x+24=90$

$\\ \rm\Rrightarrow x=66$

Complementary angles

$\\ \rm\Rrightarrow 4x+7+35=90$

$\\ \rm\Rrightarrow 4x+42=90$

$\\ \rm\Rrightarrow 4x=48$

$\\ \rm\Rrightarrow x=12$

4x+7=4(12)+7=55°

$\\ \rm\Rrightarrow 3x+54=180$

$\\ \rm\Rrightarrow 3x=126$

$\\ \rm\Rrightarrow x=42$

lisov135 [29]2 years ago

4 0

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

These angles form a linear pair
They are supplementary, and add up to 180°
2x + 48 = 180
2x = 132
x = 66

Subquestion #2

These angles are complementary, and add up to 90°
35 + 4x + 7 = 90
4x + 42 = 90
4x = 48
x = 12

Subquestion #3

As in #1, they are a linear pair, and are supplementary
3x + 54 = 180
3x = 126
x = 42

You might be interested in

A company is expanding its building area from 14,000 square feet to 17,640 square feet. What is the percentage increase of the a

natali 33 [55]

Answer:

its about 7.9% I think .... ............

6 0

3 years ago

A map is drawn so that every 1 inch on the map represents 50 actual miles. The table below can be used to record the actual dist

olasank [31]

200 miles
You just multiply 50 by 4.

:) have a good day !

7 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$