All categories

3 years ago

An angle is 88° more than its supplement. What is the angle's measure?

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

Answer:

134°

Step-by-step explanation:

Supplementary angles when combined = 180°

One of the angles is x°. The other is x + 88°. Set the equation:

x + x + 88 = 180

Simplify. Combine like terms:

(x + x) + 88 = 180

2x + 88 = 180

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Subtract 88 from both sides:

2x + 88 (-88) = 180 (-88)

2x = 180 - 88

2x = 92

Divide 2 from both sides:

(2x)/2 = (92)/2

x = 92/2

x = 46

The supplement angle is 46° long.

Find the angle you are solving for: 88 + 46 = 134°

134° is your answer.

The supplement angle is 46°.

svp [43]3 years ago

7 0

The angles measure is 92 degrees.
Work:
Two supplementary angles add up to 180 degrees
180-88=92

You might be interested in

the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.

vovikov84 [41]

Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343

3 0

2 years ago

Read 2 more answers

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 t

riadik2000 [5.3K]

Well the way I see it is he started with 4 villager so I would see the equation to be

1.13x times 17+4 would equal the amount of villagers he could have which would be 23.21 as for the equation it would be 1.13x times 17 plus four equals the number of villagers total

7 0

3 years ago

Please help!

vesna_86 [32]

Answer:

Step-by-step explanation:

4 0

2 years ago

What is 2and 2/3 divided by 4/5

Illusion [34]

Answer:

$\frac{10}{3}$

I hope this helps!

5 0

3 years ago

Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex

Nataly [62]

Answer:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion female for Biology

$\hat p_A =\frac{84199}{144796}=0.582$ represent the estimated proportion female for biology

$n_A=144796$ is the sample size for A

$p_B$ represent the real population proportion female for calculus AB

$\hat p_B =\frac{102598}{211693}=0.485$ represent the estimated proportion female for Calculus AB

$n_B=211693$ is the sample size required for B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

5 0

3 years ago