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2 years ago

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

Mathematics

2 answers:

lesantik [10]2 years ago

8 0

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2= $90\°$ ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)= $90\°$

2m∠1= $90\°$

m∠1= $45\°$

therefore

the answer is

$45\°$

Soloha48 [4]2 years ago

6 0

It has to equal 90 so the answer is 45 degrees.

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2 years ago

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which g

ser-zykov [4K]

Answer:

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Step-by-step explanation:

We know that the equation tht represents the boats avlue is given by

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3 years ago

Read 2 more answers

A physical fitness association is including the mile run in its secondary- school fitness test. the time for this event for boys

liberstina [14]

Answer:

The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

μ of the time a group of boys run the mile in its secondary- school fitness test = 440 seconds

σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds

2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.

Let's find out the z-score, this way:

z-score = (348 - 440)/40

z-score = -92/40 = -2.3

Now let's find out the probability of z-score = -2.3, using the table:

p (-2.3) = 0.0107

p (-2.3) = 0.0107 * 100

p (-2.3) = 1.1% (rounding to the next tenth)

The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.

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2 years ago

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The sum of two numbers is 95. If the larger is increased by twice the smaller, the result is 120. Find the numbers.

adelina 88 [10]

Hello!

You can make two expressions based on what you know

let x equal the larger number
let y equal the smaller number

x + y = 95
x + 2y = 120

We can use elimination to get rid of x

You can subtract the two equation to get rid of x

-y = -25

Since y is negative we can multiply both sides by -1 to make y positive

y = 25

Now we can put this into one of the other equations to find x

x + 25 = 95

subtract 95 from both sides

x = 70

The answers are 70 and 25

Hope this helps!

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2 years ago

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VMariaS [17]

Answer:1

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