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3 years ago

5

∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures 13 9 ∘ 139 ∘ 139, degrees. What is the measure o

f ∠ x ∠xangle, x

2 answers:

ANEK [815]3 years ago

7 0

Answer:

41 degrees

Step-by-step explanation:

Answer:

41°

Step-by-step explanation:

Supplementary angles are angles that has their sum total of angles as 180°.

If two angles ∠x and ∠ y are supplementary, this means

∠x+∠y = 180° ... (1)

Since ∠y = 139°, to get ∠x, we will substitute the value of ∠y in equation 1 to have;

∠x + 139° = 180°

∠x = 180°-139°

∠x = 41°

Therefore the measure of ∠x is 41°

Elena-2011 [213]3 years ago

4 0

Answer:

41°

Step-by-step explanation:

Supplementary angles are angles that has their sum total of angles as 180°.

If two angles ∠x and ∠ y are supplementary, this means

∠x+∠y = 180° ... (1)

Since ∠y = 139°, to get ∠x, we will substitute the value of ∠y in equation 1 to have;

∠x + 139° = 180°

∠x = 180°-139°

∠x = 41°

Therefore the measure of ∠x is 41°

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A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

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1 year ago

The width of a rectangle is 7y -7.5 feet and the length is 7.5y + 8 feet. Find the perimeter of the rectangle

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Explanation

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In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

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