All categories

3 years ago

An angle measures 70° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Elina [12.6K]3 years ago

5 0

Answer:

Larger angle: 80 degrees

Smaller angle: 10 degrees

Step-by-step explanation:

complementary angles = two angles that add up to 90 degrees

x = larger angle

x + x - 70 = 90 Add like terms

2x - 70 = 90 Add 70 on both sides

2x = 160 Isolate the variable by dividing 2 on both sides

x = 80

x = larger angle , 80 degrees

x - 70 = smaller angle , 10 degree

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please Mark As brainliest!!!</em></u></h3><h3><u><em>Thank You !!!</em></u></h3><h3><u><em>: )</em></u></h3>

You might be interested in

Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t

Trava [24]

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

$\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}$

$\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}$

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

5 0

3 years ago

Indicate in standard form the equation of the line passing through the given point and having the given slope. r(4, 0), m = 5

Brrunno [24]

Y = mx + b....m is the slope and b is the y intercept
slope(m) = 5...(4,0)...x = 4 and y = 0
now we sub our info into y = mx + b...we r looking for b, the y intercept
0 = 5(4) + b
0 = 20 + b
-20 = b
so ur equation is y = 20x - 20...but we need it in standard form
Ax + By = C

y = 20x - 20....subtract 20x from both sides
-20x + y = -20...multiply by -1 to make x positive
20x - y = 20 <== standard form

5 0

3 years ago

well, according to y0autube statistics, only a small percentage of people who watch my videos are actually subscribed, so if you

mr_godi [17]

Why. what and why... ahahah

6 0

3 years ago

Read 2 more answers

An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t

solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation = $\sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}$

Suppose,

X X - Xbar $(X - Xbar)^{2}$

3 3 - 6 = -3 -3 * -3 = 9

5 5 - 6 = -1 -1 * -1 = 1

10 10 - 6 = 4 4 * 4 = 16

<em>Mean of above data, Xbar</em> = $\frac{3+ 5+10}{3}$ = 6

<em>Standard Deviation of data </em>= $\sqrt{\frac{26}{3-1} }$ = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

X X - Xbar $(X - Xbar)^{2}$

3*2 = 6 6 - 12 = -6 -6 * -6 = 36

5*2 = 10 10 - 12 = -2 -2 * -2 = 4

10*2 =20 20 - 12 = 8 8 * 8 = 64

<em>Mean of new data, Xbar </em>= $\frac{6+ 10+20}{3}$ = 12

<em>Standard Deviation of new data</em> = $\sqrt{\frac{104}{3-1} }$ = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0

3 years ago

A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building do

3241004551 [841]

Sin 45 = X / 14
X = 14 * sin45
X = 7√2≈9.89949
Thus ladder will reach to ≈ 9.9 (rouded-up) foot height in the building

5 0

3 years ago