Mathematics High School

If PQR ≈ STU complete each part

Answers

Answer 1

*see attachment for the complete diagram and what is required.

Answer:

✅ST = 7 m

✅SU = 8 m

✅m<R = 46°

✅m<Q = 75°

✅m<S = 59°

Step-by-step explanation:

Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.

Thus:

<P ≅ <S, therefore, m<P = m<S = 59°

<Q ≅ <T, therefore, m<Q = m<T = 75°

<R ≅ <U, therefore, m<R = m<U.

PQ ≅ ST, therefore, PQ = ST

QR ≅ TU, therefore, QR = TU

PR ≅ SU, therefore, PR = SU

Let's find the measure of the following with the information we already know:

✅ST = PQ = 7 m

✅SU = PR = 8 m

✅m<R = 180 - (m<P + m<Q) (sum of ∆)

m<R = 180 - (59°+ 75°) (substitution)

m<R = 180 - 134

m<R = 46°

✅m<Q = m<T = 75°

✅m<S = m<P = 59°

Answer 2

The length of the segment ST is 7m, the length of the segment SU is 8m, angle R is 46 degrees, angle Q is 75 degrees, and angle S is 59 degrees.

Given :

PQR ≈ STUThe segment PR = 8 mThe segment PQ = 7 mAngle RPQ is 59 degrees.Angle STU is 75 degrees.

The following steps can be used in order to complete each part:

Step 1 - Angle P is similar to angle P therefore, angle S is 59 degrees.

Step 2 - Angle Q is similar to angle T therefore, angle Q is 75 degrees.

Step 3 - Angle R is similar to angle U therefore, angle R and angle U are equal.

Step 4 - Segment PQ is similar to segment ST, therefore the length of segment PQ is equal to the length of segment ST.

Step 5 - Segment QR is similar to segment TU, therefore the length of segment QR is equal to the length of segment TU.

Step 6 - Segment PR is similar to segment SU, therefore the length of segment PR is equal to the length of segment SU.

Step 7 - Apply the sum of interior angle property on the triangle PQR.

[tex]\rm \angle R + 59 + 75 = 180[/tex]

[tex]\rm \angle R = \angle U = 46^\circ[/tex]

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Related Questions

(I WILL GIVE 30 POINTS PLEASE HELP ME)

1. Which is the slope of the line that passes through the points (1,1) and (2,7) ?

1a. Pick a point the line passes through above and with the slope you calculated, find the y- intercept

1b. Now that you know the y- intercept, what is the equation of the line ?

Answers

Hello!

1)First, they ask us to find the slope. [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex] is the slope formula.

The slope is 6

2)Let's just use the point they gave us (1,1)

We need to substitute the point in the equation and solve.

The y-intercept is -5

3) y=mx+b (m=slope b=y-intercept)

y=6x-5

I really hope this helps :-)

Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units

Answers

The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units

The distance between the two points

The points are given as:

A = (-6,8)

B = (0,8)

The distance between the points is calculated using:

[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]

Evaluate

d = 6

Hence, the distance between the points (-6,8) and (0,8) is 6 units

Answers

Answer:

x=-17

Step-by-step explanation:

jenet can make 4/5 on a necklace in 20 minutes.at this rate how many necklaces to the nearest tenth of a necklace can jenet make in 1 hour

Answers

Answer:

She can make 2 2/5 of a necklace. Which is 2.4 to the nearest tenth.

Step-by-step explanation:

Find an equation of the line that passes through the points (5,- 4) and (2,-2).

Answers

Answer:

y=-2/3x - 2/3

Step-by-step explanation:

Is -51.16 a integer?

Answers

Answer:

Step-by-step explanation:

An integer is a number that is whole. For example, 1.12 is not an integer, but 14 is.

What is the sum of 52.07 and 8.43?

(Write the answer as a decimal to the nearest tenth.)

Answers

60.5, rounded to the nearest tenth should be 61!!

The sum of 52.07 and 8.43 which is 52.07 + 8.43 will be 60.50.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

52.07 and 8.43

Then the sum of the numbers 52.07 and 8.43 will be given by putting a plus sign between them. Then we have

⇒ 52.07 + 8.43

⇒ 60.50

The value of the expression 52.07 + 8.43 will be 60.50.

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10³ ÷ (25×4) = Please

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

10³ ÷ (25×4)

1000 ÷ 100 = 10

One of these expressions reduces to 1 and the
other reduces to -1. Do you know which one is
which? How do you know?

Answers

Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

Edge2020

The value of (3 + x) / (x + 3) = 1

The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ - 1 (x - 3)

The value of (3 - x) / (x - 3) = - 1

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

⇒ (3 + x) / (x + 3) and (3 - x) / (x - 3)

Now, We can solve as;

The value of (3 + x) / (x + 3) is,

⇒ (3 + x) / (x + 3) = (x + 3) / (x + 3)

= 1

And, The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ (3 - x) = - 1 (x - 3)

And, The value of (3 - x) / (x - 3) is,

⇒ (3 - x) / (x - 3) = - (x - 3) / (x - 3)

= - 1

Learn more about the mathematical expression visit:

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Help me pleaseeeeee!!!!!!

Answers

I think it’s D. Hope this helps

Jennifer bought 3 shirts for $48.00. At the same rate, how much would Jennifer pay for 10 shirts?

sentence stem:Jennifer would pay $ for 10 shirts.

Answers

Answer:

160 dollars

Step-by-step explanation:

3 for 48.00 dollars meaning that she pays 16 dollars a shirt

16 times 10 is 160

so 160 dollars

Answer:

160

Step-by-step explanation:

48 divided by 3 times 10

What is the simplified form of the expression?

Answers

Answer:

7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.

I hope I helped you

7c ^2 d-7c+4d-10

hope this helps

Which answer choice represents a person burning 90 calories by climbing 18 flights of stairs?

Answers

Answer:9

Step-by-step explanation:

Answer:

try 5 if that is an answer choice. if not then sorry i couldn't help!

A bag of oranges are on sale at the grocery store downtown and at the farmers market. At the grocery
store a 4 lb. bag of oranges cost $5.00, and at the farmers market the price for a 10 lb. bag of oranges
is $12.00. What is the rate that the grocery store is selling for? What is the rate for the farmers
market?

Answers

Answer:

Grocery store: $1.25/lb

Farmers market: $1.20/lb

Step-by-step explanation:

Determine whether the given equation has one solution, no solution, or infinitely many solutions.

2 - 3(x + 4) = 3(3 - x)

cannot be determined
one solution
no solution
infinitely many solutions

Answers

Answer:

one solution is your answer to the question

Answer:

Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x

Gather all the x terms on one side and all the constants on the other:

-3x + 3x = 9 + 12 - 2, or 0 = 19

since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.

Find the difference

Answers

Answer:

Step-by-step explanation:

The answer is - 9

Answer:

-9

Step-by-step explanation:

why are 6, 8, 10, 5, 12, 13 the pythagorean triples

Answers

this is because if you do the pythagorean theorem with 6, 8, and 10 you will find that squaring 6 and 8 and adding them will equal 10^2. Same with 5 12 and 13

A) An angle bisector
B) a line parallel to a given line
C) an angle congruent to a given angle
D) a perpendicular bisector of a segment

Answers

Answer:

Step-by-step explanation:

we construct a perpendicular bisector of line segment AB by intersecting two circles with the same radii

can someone help me on this it's 6th grade math please help

Answers

Answer:

The triangle one is 80mm and parallelogram is 24 in.

Step-by-step explanation:

Tom's telephone company charges a flat fee of $33.00 a month, plus $0.10 a minute for all long-distance calls made during the month. Tom's bill for the month of June was $53.00 before taxes . Which equation can be used to deternine how many long distance minutes ,x, Tom used during the month of June?
A.33=0.10x+53
B.33=53x+0.10
C.53=0.10x+33
D.53=33x+0.10

Answers

Answer:

Step-by-step explanation:

Help with this math thing please!

Answers

Answer:

i cant see

Step-by-step explanation:

Triangle LMN isosceles,

Answers

Answer:

In the given figure, Triangle LMN is an isosceles triangle with angle m = angle n and angle p bisects angle NLQ. Prove that angle P is parallel to MN.

what is the domain of this function

A. (1,2,3,4,9,16)
B. (2,4,9,16)
C. (1,2)
D. (1,2,3,4)

Answers

Answer:

Step-by-step explanation:

You and your mom enter a drawing with 3 different prizes. The prizes are
awarded at random.
If a total of 10 people entered the drawing, in how many ways can you win
first prize and your mom win second prize?
a. 8
b. 2
c. 10
d. 1

Answers

Answer:

The correct answer is 8.

Step-by-step explanation:

There are 2 ways that you can win first prize and your mom can win the second prize.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 10 people who entered the drawing.

Since the prizes are awarded at random, the probability of you winning the first prize is 1/3, and the probability of your mom winning the second prize is 1/2.

We can use the multiplication principle of counting to find the number of ways that you can win first prize and your mom can win the second prize.

The number of ways that you can win first prize is 1 since there is only one first prize and you are one of the 10 people who entered.

Once the first prize winner is chosen, there are 9 people left, and the number of ways that your mom can win the second prize is 1 out of 9.

The total number of ways that you can win first prize and your mom can win the second prize is:

1 × 1/3 × 1/2 × 9 = 3/2

However, the answer cannot be a fraction or decimal, since we are counting the number of ways in which events can occur.

Therefore, we round up to the nearest integer and get:

3/2 ≈ 2

Therefore,

There are 2 ways that you can win first prize and your mom can win the second prize.

Learn more about probability here:

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What is an equation of the line that passes through the points (-1, 1) and
(-2,-4)?

Answers

Answer: The equation is y=5x+6

Step-by-step explanation:

Answer:

y=5x+6

Step-by-step explanation:

(-1,1) and (-2,-4)

I need help with these two questions

Answers

For the second one I think the length of the missing side is 0.69.
Sorry but I am too lazy to do the other one
Hope this helps if not have a good day!

What is the answer to life?

Answers

Answer:

you

Step-by-step explanation:

Depends on who you ask. There are multiple theories.

Systems by elimination:
please help me..ASAP

Answers

Answer:

#1 is no solution and #2 is infinitely many solutions

the first one would be c) (2,-9)
the second one i’m not sure

Helpp brainliest of rightt!!

Answers

Answer:

(1, 2)

Step-by-step explanation:

Simply find the value inbetween the x values and y values. You can do this by adding the x values and then dividing them by 2 to find the x value for a midpoint, then do the same for the y value.

Peter bought 8 lemons for $6,. Each lemon was the same price.
What was the cost for 1 lemon?

Answers

Answer:

.75 cents

Step-by-step explanation:

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