180°−23°17′18′′=179°59′60′′°−23°17′18′′=156°42′42′′

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 2020-11-06

In \(\displaystyle△{P}{Q}{R},{m}∠{P}={46}{x}\) and \(\displaystyle{m}∠{R}={7}{x}\),

a. Write and solve an equation to find the measure of each angle.

b. Classify the triangle based on its angles.

a. Write and solve an equation to find the measure of each angle.

b. Classify the triangle based on its angles.

asked 2020-11-30

The measure of the complement of an angle is three times the measure of the angle. What is the measure of each angle?

asked 2020-11-24

[Triangle]
Determine the measure of each interior angle of △MAN and classify the triangle.
m
m
/trnglMAN is a(n)_______________ triangle.

asked 2020-11-08

In triangle ABC, angle B is five times as large as angle A. The measure of angle C is 2° less than that of angle A. Find the measures of the angles. (Hint: The sum of the angle measures is 180°.)

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 2020-12-27

Suppose that \(\displaystyle{m}\angle{B}{C}{A}={70}^{\circ}\), and x=33 cm and y = 47 cm. What is the degree measure of \(\displaystyle\angle{A}{B}{C}\)?

asked 2020-10-21

A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram, If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?

(1) 68.6

(2) 80.9

(3) 109.8

(4) 244.4

(1) 68.6

(2) 80.9

(3) 109.8

(4) 244.4

asked 2021-01-31

Given a triangles. One angle is \(\displaystyle{42}^{\circ}\). Find the other angles if they're equal.

asked 2021-01-08

PQRS is a parallelogram. \(\displaystyle{m}∠{Q}={11}{x}+{13}\) and \(\displaystyle{m}∠{S}={15}{x}-{23}\). Find the measure of \(\displaystyle∠{P}\).