Since all angles are equal, the triangle is equilateral. In an equilateral triangle, all sides are equal, so

4x-30=3x-5

x-30=-5

x=-5+30

x=25

4x-30=3x-5

x-30=-5

x=-5+30

x=25

Question

asked 2020-11-26

Are triangles necessarily congruent, is:

1. Each side of one triangle is equal to one of the other triangle's sides.

2. If the two triangles are right and each cathetus of one triangle is equal to a cathetus from the other triangle.

3. If the angles of one triangle are equal to the angles of the other triangle.

1. Each side of one triangle is equal to one of the other triangle's sides.

2. If the two triangles are right and each cathetus of one triangle is equal to a cathetus from the other triangle.

3. If the angles of one triangle are equal to the angles of the other triangle.

asked 2020-11-24

A triangle is given with one side equal to 18m (a) and angles laying on this side equal to \(\displaystyle{48}^{\circ}\) (A) and \(\displaystyle{37}^{\circ}\) (B). Find the ramaining angle (C) and sides (b and c).

asked 2021-03-08

Given:

A parallelogram with diagonals equal to 56cm and 34cm. The intersect of the angles is \(\displaystyle{120}^{\circ}\). Find the shorter side's length.

A parallelogram with diagonals equal to 56cm and 34cm. The intersect of the angles is \(\displaystyle{120}^{\circ}\). Find the shorter side's length.

asked 2021-02-03

Given a triangle with a \(\displaystyle{112}^{\circ}\) angle. The adjusted sides to this angle are equal. Find their length, if \(\displaystyle{A}={80}{c}{m}^{{2}}\).

asked 2020-12-24

State the form of the law of cosines used to solve a triangle for which all
three sides are given (SSS).

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 2021-01-02

In triangle ABC with sides a, b, and c the Law of Sines states that

asked 2021-01-31

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

asked 2020-11-24

comprehension check for derivatives of trigonometric functions:

a) true or false: if \(\displaystyle{f}{p}{r}{i}{m}{e}{\left(\theta\right)}=-{\sin{{\left(\theta\right)}}},{t}{h}{e}{n}{f{{\left(\theta\right)}}}={\cos{{\left(\theta\right)}}}.\)

b) true or false: \(\displaystyle{I}{f}\theta\) is one of the non right angles in a right triangle and ЗІЛsin(theta) = 2/3ZSK, then the hypotenuse of the triangle must have length 3.

a) true or false: if \(\displaystyle{f}{p}{r}{i}{m}{e}{\left(\theta\right)}=-{\sin{{\left(\theta\right)}}},{t}{h}{e}{n}{f{{\left(\theta\right)}}}={\cos{{\left(\theta\right)}}}.\)

b) true or false: \(\displaystyle{I}{f}\theta\) is one of the non right angles in a right triangle and ЗІЛsin(theta) = 2/3ZSK, then the hypotenuse of the triangle must have length 3.

asked 2020-12-24

The base of a pyramid covers an area of 13.0 acres (1 acre =43,560 \(\displaystyle{f}{t}^{{2}}\)) and has a height of 481 ft . Ifthe volume of a pyramid is given by the expression V =(1/3)bh, where b is the area of the base and his the height, find the volume of this pyramid in cubicmeters.