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## True or False If all three sides of a triangle are different lengths, it cannot be a right triangle.

True or False If all three sides of a triangle are different lengths, it cannot be a right triangle.

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## Given that A=84, B=66 and a=13 solve triangle ABC. Round to the nearest hundredth.

In this item, we are asked to determine the sides and the angles of the given triangle ABC. We use the cosine law for the first one,

A/cos A = B/cos B

Substituting,
84 / cos 13° = 66/ cos b
The value of b is equal to 40°.

The sum of the measures of the angle in the triangle is equal to 180°
a + b + c = 180°

13 + 40 + c = 180°

c = 127°

Use again Sine Law,
B/ sinb= C / sin c

Substituting,
66/sin 13 = C/sin  .
The value of c from the equation is  127.32.

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## What is the perimeter of a triangle with side lengths of 9, 12, and 4x? 1. 25 2. 25 + x 3. 21x or 4. 21 +4x

What is the perimeter of a triangle with side lengths of 9, 12, and 4x? 1. 25 2. 25 + x 3. 21x or 4. 21 +4x

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## What other information do you need to prove triangle INF=CAT by the ASA Postulate?

Label the angles on the given figure an x and y and label the unknown angles as z (see the figure below).
Because the sum of angles in a triangle = 180°, angle z is correct for all three triangles.

In order to prove that ΔINF = ΔCAT by the ASA Postulate,
1.  We should show that AC = IN, or
2. We should show that AT = NF.
Proving either of the two options means that we have congruent isosceles triangles.

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## The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

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## Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 12 cm

We have given
hypotenuse=6√2
let us suppose leg =a
using Pythagorean theorem
a^2+a^2=(
6√2)^2
2a^2=36*2
diving by 2 on both sides
a^2=36
taking square root on both sides
√a^2 =√36
a=6
therefore
the leg of each isosceles right triangle is 6

Hope this helps!

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## The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.

If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.

The difference between the two possible lengths of the third side =
9.4 – 6.2 = 3.2 in.

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## Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

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## An exterior angle of a triangle measures 125° and one of the remote interior angles measures 35°. The triangle must be: Obtuse Acute Right

An exterior angle of a triangle measures 125° and one of the remote interior angles measures 35°. The triangle must be: Obtuse Acute Right

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## A triangle with no equal sides is called an ____ triangle 1.isosceles 2.equilateral 3.obtuse 4.scalene

A triangle with no equal sides is called an ____ triangle 1.isosceles 2.equilateral 3.obtuse 4.scalene

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## The following graph shows the demand curve for a group of consumers in the U.S. market (blue line) for Blu-ray players. The market price of a Blu-ray player is shown by the black horizontal line at \$150. Each rectangle you can place on the following graph corresponds to a particular buyer in this market: orange (square symbols) for Antonio, green (triangle symbols) for Caroline, purple (diamond symbols) for Dmitri, tan (dash symbols) for Frances, and blue (circle symbols) for Jake. Use the rectangles to shade the areas representing consumer surplus for each person who is willing and able to purchase a Blu-ray player at a market price of \$150. (Note: If a person will not purchase a Blu-ray player at the market price, indicate this by leaving his or her rectangle in its original position on the palette.

On December 15, 1791, the Bill of Rights (the first ten amendments to the United States Constitution) were ratified by the states.

The Bill of Rights were added to the Constitution to address fears raised by the Anti-Federalists during the ratification of the Constitution that the Constitution did not provide sufficient protection against abuses of power by the federal government.

James Madison, the Father of the Constitution, originally did not think a Bill of Rights was necessary. He thought the Constitution gave no power to the federal government that would allow for a violation of the rights of the people.

Madison later changed his position, persuaded mainly by Thomas Jefferson, and, with the help of others, drafted twenty amendments that were proposed to the first United States Congress in 1789.

Twelve of the proposed amendments were accepted by Congress and were then sent to the states for ratification. Only ten were ratified.

These ten amendments list our basic rights and place limits on the federal government. They include the freedoms of speech and religion, the right to bear arms, the right to be free from unreasonable searches and seizures, and an assurance that the powers not delegated to the federal government in the Constitution are reserved to the states and the people. Many of these provisions were based upon similar protections provided by state constitutions that limited the power of state and local government authorities.

Of the remaining amendments that were not ratified in 1791, one was later adopted in 1992 as the twenty-seventh amendment to the Constitution. That amendment prevents changes in the compensation for senators and representatives until after a subsequent election of representatives. The other proposed amendment has never been adopted.

The Bill of Rights illustrates that our Founders understood that for personal freedoms to be broad, the power of the federal government must be limited.

Our nation, however, has moved away from its founding principles, especially during recent decades. Our ever-growing federal government is intervening into more and more aspects of our lives, especially through bureaucratic regulations, and is reducing our personal freedoms in the process.

Government at all levels is doing more and more things that were once left to private individuals and groups, and the federal government is doing more and more things that were once the province of state and local governments, where greater accountability to the public is often possible.

One need only look at the HHS mandate—forcing employers to violate their religious beliefs, under pain of penalty, by paying for and providing abortion pill insurance coverage—to see the harm caused by an overreaching government.

The preservation of our liberties is a daily battle, something our Founders understood. The process of scaling back the size and role of government and returning limits to it is a long one. But, since the federal government is supposed to be our servant and not our master, no one should doubt the importance of this endeavor.

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## A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

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## Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

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## Triangle PQR is transformed to similar triangle P’Q’R’. A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 4, 4, Q at ordered pair 8, 4, R at ordered pair 4 and 8. A polygon P prime Q prime R prime has P prime at ordered pair 1,1, Q prime at ordered pair 2,1, R prime at ordered pair 1, 2. What is the scale factor of dilation?

The length of the legs, PQ and PR are 4 units.
The lengths of the legs, P’Q’ and P’R’ are 1 unit.
Since the legs (and triangle) got smaller we know that the scale factor is between 0 and 1.
So.. 4 * x = 1
divide both sides by 4
x = 1/4
The scale factor is 1/4

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## N the right triangle above, a= 9.9 and c= 12.4 Find the value of b, rounded to the nearest tenth.

N the right triangle above, a= 9.9 and c= 12.4 Find the value of b, rounded to the nearest tenth.

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## The triangles below are similar. In each traingle there is a 50 degree angle and a right angle. What is the measure of the third angle in each triangle?

The triangles below are similar. In each traingle there is a 50 degree angle and a right angle. What is the measure of the third angle in each triangle?

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## A hypotenuse of a right triangle is 52 in. One leg of the triangle is 8in. more than twice the length of the other. What is the perimeter of the triangle?

A hypotenuse of a right triangle is 52 in. One leg of the triangle is 8in. more than twice the length of the other. What is the perimeter of the triangle?

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## G is the centroid of triangle ABC. What is the length of segment GF?

G is the centroid of triangle ABC. What is the length of segment GF?

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## According to this diagram what is tan 67 It's a right triangle facing left. hypotenuse: 13 opposite:5 adjacent: 12 The angle to the far left is 23 degrees, the one to the far right at the bottom is 90, and the one on the top is 67. options: 12, 5/13, 12/13, 5/12, 13/5, 13/12 Please explain. Thanks so much

According to this diagram what is tan 67 It’s a right triangle facing left. hypotenuse: 13 opposite:5 adjacent: 12 The angle to the far left is 23 degrees, the one to the far right at the bottom is 90, and the one on the top is 67. options: 12, 5/13, 12/13, 5/12, 13/5, 13/12 Please explain. Thanks so much

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## In triangle DEF. DF = 16 and m

I’m ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2

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## A field in the shape of a right triangle has an area of 30 square meters. If one leg of the right triangle that forms the field is 4 meters longer than the other leg, what is the length of the longer leg?

Let S=length of shorter leg, then the longer leg measures S+4.
Area of a right triangles = product of legs /2  (in m.)
and
Area of given right-triangle = 30 m^2

To find S, solve
product of legs /2 = S (S+4) / 2 = 30 = area of triangle
S(S+4) = 2*30      [ now distribute ]
S^2+4S = 60        [ subtract 60 from both sides ]
s^2+4S-60=0
Solve for S by factoring
(S+10)(S-6)=0    means  (S+10)=0 or (S-6)=0
Therefore S=6 or S=-10, reject negative root, so
shorter leg = 6m
longer leg = 6m+4m = 10m

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## WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other

WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other

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## If measure of angle L=64, and measure of angle K = 50, list the sides of triangle jkl in order from smallest to largest

If measure of angle L=64, and measure of angle K = 50, list the sides of triangle jkl in order from smallest to largest

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## The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA

The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA