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3 years ago

10° 55° x х Solve for y in the figure above.

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Y=145
Explanation:
A triangle’s angles add up to a total of 180 so you would subtract 55 from 180 and then subtract 90 because of the right angle, then you would end with x=35. Since x and y are supplementary they add to 180...so then you subtract 35 from 180 and then you get y=145.

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2. One angle is one less than six times the measure of

Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

Solution:

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0

3 years ago

4.01 ESSENTIAL QUESTIONS

Nikolay [14]

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

4 0

3 years ago

Find the x will name brainlist

Alenkasestr [34]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find x.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

Altitude = 1.6 cm.
Base = 1.2 cm
Hypotenuse = x

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = 2.

So, the value of x is 2 cm.

Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.

8 0

3 years ago

The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d

NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

Null Hypothesis, $H_0$ : $\sigma$ = $\sqrt{0.003}$

Alternate Hypothesis, $H_1$ : $\sigma > \sqrt{0.003}$

The test statistics used here for testing variance is;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 0.06

n = sample size = 26 cans

So, Test statistics = $\frac{(26-1)0.06^{2} }{0.003 }$ ~ $\chi^{2}__2_5$

= 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

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3 years ago

Complete the ratio and find the answer

elena55 [62]

There are 12 inches in one foot. 120 x 12 = 1,440 inches. The correct ratio to be placed is the 5th one (aka 12 inches over 1 foot).

8 0

3 years ago