All categories

2 years ago

8. Given: PQR and TSR are right triangles,

Mathematics

1 answer:

rewona [7]2 years ago

3 0

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement Reason

∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right

angle triangle.

PQ = ST Given

PR ≅ RT Since R is the midpoint of PT, hence PR = RT

ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.

the Side-angle-side triangle congruence theorem

states that if two sides and an included angle of

one triangle is equal to two sides and an included

angle of another triangle, then the two triangles

are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR

You might be interested in

Can someone help me on this math question its confusing ill give brainly when right!!!

notsponge [240]

$\huge\mathsf\green{ANSWER}:—$

The coefficients are:-

-4,-6

<h2>hope it would be helpful for you</h2>

7 0

3 years ago

Read 2 more answers

The two lines below intersect as shown what the value of x (2x+29) (9x-13)

tensa zangetsu [6.8K]

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

$2x+29=9x-13$

$2x-9x=-29-13$

$-7x=-42$

Divide both sides by -7.

$x=\dfrac{-42}{-7}$

$x=6$

Therefore, the value of x is 6.

8 0

3 years ago

Use the law of sines to complete an expression that represents the angle measure x

Assoli18 [71]

Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x

6 0

3 years ago

Solve for x, worth 10 points

Anton [14]

Answer: x=22

Step-by-step explanation:

Since the angles are corresponding angles, use x+14=5x-74. You get 36=36 meaning it is right when you substitute the value for x.

x+14=5x-74

-x on both sides

14=4x-74

+74 on both sides

88=4x

Divide both sides by 4

x=22

8 0

3 years ago

if your car gets 28 miles per gallon, how much does it cost to drive 310 miles when gasoline cost $3.50 per gallon?

Butoxors [25]

Hi,

Work:

$28miles = 1gallon$

To find the cost of gallons spend for 310 miles you need to first find the amount of gallons consumed on 310 miles path.

$310 \div 28 = 11.07gallons$

If each costs 3.5$ you need to multiply gallons with money.

$3.5 \times 11.07 = 38.745$

You would spend 38.745$ to drive 310 miles.

Hope this helps.
r3t40

3 0

3 years ago