1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
3 years ago
9

8. Given: PQR and TSR are right triangles,

Mathematics
1 answer:
rewona [7]3 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
A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.
Lyrx [107]
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
\frac{18}{8} - \frac{13}{8} = n
\frac{5}{8} = n

So Angie need \frac{5}{8} cups more of butter for the recipe.

7 0
3 years ago
Lincoln saves 40% of every paycheck. His paycheck last week was $660. How much did Lincoln save last week?
sergejj [24]
Take the whole and multiply it by the percentage

so...

660 * .4 = 264
8 0
3 years ago
Is the number of miles driven, of renting a car for a day is $37 plus $0.75 per mile?
Art [367]
From what i'm understanding you want to know the equation for 37+.75x which is correct
3 0
3 years ago
Find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
Alex777 [14]

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

7 0
2 years ago
Teri went shopping with $300. Her Christmas shopping list is: 5 barbies for $10.50 each,, earbuds for $45, 3 sweaters for $22 ea
Romashka [77]

5 times 10.50 = $52.5

An additional $45

3 times 22 = $66

An other additional $65

The total price her shopping list costs is 229.5

Now, $300 - $229.5 = $70.5

Teri will have $70.50 left after buying these items.

3 0
3 years ago
Other questions:
  • Justin brought a 20 pounds pumpkins for $9.80. How much did he pay per pound?
    13·2 answers
  • If √x / 6 = √x-1 / 3. What is x?
    5·1 answer
  • Teresa went skydiving. Teresa's height (in meters) as a function of time (in seconds) is graphed.
    9·1 answer
  • What is 720 degrees converted to radians​
    8·2 answers
  • Write it correctly and explain the error. <br><br> 4(24) = 4(6) + 4(4)
    13·1 answer
  • The box plot shows the total amount of time, in minutes, the students of a class spend studying each day: A box plot is titled D
    11·1 answer
  • NEED HELP WITH THIS PROBLEM!!!!!!
    5·1 answer
  • A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. Th
    7·1 answer
  • Sally took $13 to the movies. She paid $5 for a movie ticket and popcorn. Which number sentence below will tell how much money s
    11·1 answer
  • *
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!