The base angles of an isosceles triangle are congruent. The base angles are the angles opposite of the congruent sides. The base angles of the triangle are then x∘ and 13∘ so x=13.

Question

2020-11-23

The two tick marks on the sides of the triangle mean that those two sides are congruent. A triangle with two congruent sides is called an isosceles triangle.

The base angles of an isosceles triangle are congruent. The base angles are the angles opposite of the congruent sides. The base angles of the triangle are then x∘ and 13∘ so x=13.

The base angles of an isosceles triangle are congruent. The base angles are the angles opposite of the congruent sides. The base angles of the triangle are then x∘ and 13∘ so x=13.

asked 2021-03-29

In any triangle ABC, E and D are interior points of AC and BC,respectively. AF bisects angle CAD and BF bisects angle CBE. Prove that measures (AEB) + measure (ADB) = 2x measure of (AFB).

asked 2021-03-05

Find the perimeter of the triangle.

asked 2021-05-09

To find: The value of measure LM.

asked 2021-01-10

Triangle DEF is shown below. What is the measure of \(\displaystyle∠{D}\)?

asked 2020-10-26

[Pic of triangle]
Find the volume of the pyramid. Write your answer as a fraction or mixed number.

asked 2021-04-13

As depicted in the applet, Albertine finds herself in a very odd contraption. She sits in a reclining chair, in front of a large, compressed spring. The spring is compressed 5.00 m from its equilibrium position, and a glass sits 19.8m from her outstretched foot.

a)Assuming that Albertine's mass is 60.0kg , what is \(\displaystyle\mu_{{k}}\), the coefficient of kinetic friction between the chair and the waxed floor? Use \(\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}\) for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures. Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for \(\displaystyle\mu_{{k}}\), since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.

a)Assuming that Albertine's mass is 60.0kg , what is \(\displaystyle\mu_{{k}}\), the coefficient of kinetic friction between the chair and the waxed floor? Use \(\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}\) for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures. Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for \(\displaystyle\mu_{{k}}\), since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.

asked 2021-05-18

The student engineer of a campus radio station wishes to verify the effectivencess of the lightning rod on the antenna mast. The unknown resistance \(\displaystyle{R}_{{x}}\) is between points C and E. Point E is a "true ground", but is inaccessible for direct measurement because the stratum in which it is located is several meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance \(\displaystyle{R}_{{y}}\). The procedure for finding the unknown resistance \(\displaystyle{R}_{{x}}\) is as follows. Measure resistance \(\displaystyle{R}_{{1}}\) between points A and B. Then connect A and B with a heavy conducting wire and measure resistance \(\displaystyle{R}_{{2}}\) between points A and C.Derive a formula for \(\displaystyle{R}_{{x}}\) in terms of the observable resistances \(\displaystyle{R}_{{1}}\) and \(\displaystyle{R}_{{2}}\). A satisfactory ground resistance would be \(\displaystyle{R}_{{x}}{<}{2.0}\) Ohms. Is the grounding of the station adequate if measurments give \(\displaystyle{R}_{{1}}={13}{O}{h}{m}{s}\) and R_2=6.0 Ohms?

asked 2021-02-02

The measure of the supplement of an angle is \(\displaystyle{40}^{{\circ}}\) more than three times the measure of the original angle. Find the measure of the angles. Instructions: Use the statement: " Let the original angle be x " to begin modeling the working of this question.

a) Write algebraic expression in terms of x for the following:

I) \(40^{\circ}\) more than three times the measure of the original angle

II) The measure of the Supplement angle in terms of the original angle, x

b) Write an algebraic equation in x equating I) and II) in a)

c) Hence solve the algebraic equation in

b) and find the measure of the angles.

asked 2021-01-31

factor in determining the usefulness of an examination as a measure of demonstrated ability is the amount of spread that occurs in the grades. If the spread or variation of examination scores is very small, it usually means that the examination was either too hard or too easy. However, if the variance of scores is moderately large, then there is a definite difference in scores between "better," "average," and "poorer" students. A group of attorneys in a Midwest state has been given the task of making up this year's bar examination for the state. The examination has 500 total possible points, and from the history of past examinations, it is known that a standard deviation of around 60 points is desirable. Of course, too large or too small a standard deviation is not good. The attorneys want to test their examination to see how good it is. A preliminary version of the examination (with slight modifications to protect the integrity of the real examination) is given to a random sample of 20 newly graduated law students. Their scores give a sample standard deviation of 70 points. Using a 0.01 level of significance, test the claim that the population standard deviation for the new examination is 60 against the claim that the population standard deviation is different from 60.

(a) What is the level of significance?

State the null and alternate hypotheses.

\(H_{0}:\sigma=60\)

\(H_{1}:\sigma\ <\ 60H_{0}:\sigma\ >\ 60\)

\(H_{1}:\sigma=60H_{0}:\sigma=60\)

\(H_{1}:\sigma\ >\ 60H_{0}:\sigma=60\)

\(H_{1}:\sigma\ \neq\ 60\)

(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

What assumptions are you making about the original distribution?

We assume a binomial population distribution.We assume a exponential population distribution. We assume a normal population distribution.We assume a uniform population distribution.

asked 2020-11-09

If \(\displaystyle{m}∠{1}+{m}∠{5}={100}\), find the measure of \(\displaystyle∠{2}\).
\(\displaystyle{A}{\left(\frac{{1}}{{3}}\right)}{2}{\left(\frac{{4}}{{7}}\right)}={\left(\frac{{8}}{{7}}\right)}{8}\)

\(\displaystyle{m}∠{2}=□=\frac{{1}}{{9}}\) Type the correct answer, then press Enter.

\(\displaystyle{m}∠{2}=□=\frac{{1}}{{9}}\) Type the correct answer, then press Enter.