Two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle. a. true b. false

Answered by admin AT 16/04/2020 - 06:02 PM

Answer: True

One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.

Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x

Therefore the angles for each of the two triangles are
x, 90° - x, 90°.

The two triangles are therefore similar because of AAA (Angle, Angle, Angle).

Post your answer

A snack cart sells lemonade for 2$ And hot dogs for 5$. The vendor sold 86 items today for a total of 330$ which equation is true?

Mathematics

QUESTION POSTED AT 02/06/2020 - 01:53 AM

Ariel wants to compare the salaries for positions she was offered at two companies. What should she consider in this process? Check all that apply. She should research the cost of living of different locations to compare against the offered salaries. She should research the benefits included in each offer. She should research the average salary of similar positions to see if the offers are fair. She should take the position that offers the largest salary. She should take the position that has the lowest cost of living.

Mathematics

QUESTION POSTED AT 02/06/2020 - 01:46 AM

Based on the data in this two-way table, which statement is true? A. a flower being pink and a flower being a rose are independent of each other. B. a flower being pink is dependent on a flower being a rose. C. a flower being a rose is dependent on a flower being pink. D. a flower being pink and a flower being a rose are the same.

Mathematics

QUESTION POSTED AT 02/06/2020 - 01:33 AM

Which of the following is a true statement? The opposite of −45 is equal to the absolute value of −45. The opposite of 45 is equal to the absolute value of 45. The opposite of 45 is equal to the absolute value of −45. The opposite of −45 is not equal to the absolute value of 45.

Mathematics

QUESTION POSTED AT 02/06/2020 - 01:26 AM

What is the measure of angle E, in degrees?

Mathematics

QUESTION POSTED AT 02/06/2020 - 01:24 AM

Two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle. a. true b. false

Answered by admin AT 16/04/2020 - 06:02 PM

Related questions

A snack cart sells lemonade for 2$ And hot dogs for 5$. The vendor sold 86 items today for a total of 330$ which equation is true?

Which of the following is a true statement? The opposite of −45 is equal to the absolute value of −45. The opposite of 45 is equal to the absolute value of 45. The opposite of 45 is equal to the absolute value of −45. The opposite of −45 is not equal to the absolute value of 45.

What is the measure of angle E, in degrees?

A Pentagon has three angles that are congruent and two other angles that are supplementary to each other. Find the measure of each of the three congruent angles in the Pentagon

Fill in the blank with the phrase that makes the proof statement true. Segment AC bisects segment BD. _____________ by the definition of bisector.

A tree casts a shadow that is 18 feet in length. If the angle of elevation is 28 degrees, which of the following best represents the height of the tree?

Angles 1 and 2 are supplementary. Which equation represents the relationship between their measures? m1 + m2 = 90° m1 + m2 = 100° m1 + m2 = 180° m1 + m2 = 200°

During a game of pool, Kyle hit a ball and it followed the path from B to C and then to D. The angles formed by the path are congruent. To the nearest tenth of an inch, which of the following represents the total distance the ball traveled before it stopped at point D?

Time is now 11:45 AM what is the smaller angle between hour and minute hand on o'clock

In a right triangle if one acute angle has a measure of 10 x + 3 and the other has a measure of 3x + 9 find the larger of these two angles

Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.

In triangle JKL and triangle PQR, if angle J is congruent to angle P, angle K is congruent to angle Q, and angle L is congruent to angle R, then triangle JKL must be congruent to triangle PQR. True or Fase???

Use the Pythagorean theorem to find the measure of the hypotenuse of right triangle of the measures of the legs are 30 meters and 72 meters

Which statements regarding ΔEFG are true? Check all that apply. EF + FG > EG EG + FG > EF EG - FG < EF EF - FG > EG EG + EF < FG

If AB= 12 and CB= 10, then the height of the triangle is

How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One triangle can be formed where angle B is about 15°. One triangle can be formed where angle B is about 40°. Two triangles can be formed where angle B is 40° or 140°.

What could be an interior angle measure of a regular polygon

Two buildings stand 90ft apart at their closest points. At those points, the angle of depression from the top of the taller building to the top of the shorter building is 12 degrees. How much taller is the taller building? Round your answer to the nearest foot.

The hypotenuse of a 30 degree, -60 degree, -90 degree triangle is 24.2-ft. Explain how to find the lengths of the legs of the triangle.

A 12-ft long ladder is leadning against a wall and makes an 80 degree angle with the ground. How high up the wall does the ladder reach, and how far is the base of the ladder from the base of the wall? Round to the nearest inch.

An inscribed angle in a semicircle is always

Two different cross sections are taken parallel to the base of a three-dimensional figure. the theo cross sections are the same shape but are not congruent. what is the three-dimensional figure?