Mathematics High School

In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
Find RV and m ZVUR.
R
S
U
T

In The Rectangle Below, SU= 4x-2, RT = 5x-10, And M ZSVT= 84.Find RV And M ZVUR.RSUT

Answers

Answer 1

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°

Related Questions

What’s the volume of the following shape?

Answers

Answer:

Step-by-step explanation:

It should be 360 Pls mark brainliest

Answer:

180 units^3

Step-by-step explanation:

Formula for the volume of a right triangular prism: V=1/3Ah (A=Area of base triangle, h=height)

BASE TRIANGLE

A= 1/2bh (base•height)

A= 1/2•10•4

A= 40 units^2

VOLUME OF PRISM

V=1/3Ah

V= 1/3•40•18

V= 180 units cubed

Hope this helps! Let me know if I'm off by anything.

1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
a. (4, -6)
b. (-4, 6)
c. (-6, -4)
d. (-6, 4)

Answers

Answer:

a. (4, -6)

Step-by-step explanation:

When a reflection over the y-axis takes place, the x value will change its sign, while the y value will remain the same. Test this using a graph if needed. Recall that a reflection over the n axis will not change the value of the n coordinate.

what are the difference in finding the cirumference circle and finding the area of circle

Answers

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

What does e-waste or electronic waste not include?

Answers

Answer:

microwave ovens

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!

please please helppp!!

Answers

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

(URGENT !!!) Which is a reasonable equation for the line of best fit for the data shown in the scatter plot? Using the equation, predict y if the value of x is 20.


F. y=x

G. y= x+2

H. y=2

J. y= 1/2x +2


(This is scatterplots)

Answers

Answer:

1. Y = 1/2x + 2

2. X = 20 - Y = 12

Step-by-step explanation:

1. The other formulas clearly don't fit.

2. Simply fill in 20 for X and solve the formula.

HELP ME! I'LL GIVE THE BRAINLIEST

Answers

Answer:

0.0824 (may be incorrect)

How many millagrams are in 17.9 grams?
HELP ASAP

Answers

Answer:

17,900 milligrams

Step-by-step explanation:

1 grams = 1000 milligrams

So, to find the milligrams in grams you have to multiply by 1000

17.9 × 1000 = 17,900

Have a great day!

This drawing shows a human body system. What is the primary function of this body system?

Answers

Answer:

c

Step-by-step explanation:

yw

This shows the cardiovascular system.

The answer is: The transport of nutrients, water, and oxygen to body cells.

An Aztec Salad gets 28 of its Calories from protein. If this is 20% of the total number of
Calories, how many Calories does the salad have? ASAP

Answers

Answer:

140 calories

Step-by-step explanation:

total number of Calories of the salad =

100/20 × 28 = 5×28 = 140

Let total calories=x

20% of x=280.2x=28x=28(5)x=140

(x2 + 12x + 14) = (x + 1).

Answers

Answer:

x=-1.34

Step-by-step explanation:

x=-1.34

8 people from a group of 12

Answers

If you're meaning about subtracting:

12-8=4

If you want in fraction: 8/12

mark me brainliestt :))

8 is 2/3s of 12
2/3s is about 67%
67% of 12

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

Answers

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

Please help with this one too??

Answers

Answer:

21979

Step-by-step explanation:

21979 = 11(1997)+12

The perimeter of a right triangle is 40 feet. and the area is 120 square feet. If the lengths of the sides of the triangle are each multiplied by 12, what is the perimeter of the new right triangle?

A) 8640
B) 5760
C) 720
D) 480

Answers

Answer:

D

Step-by-step explanation:

did it on Time4learning

Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.

Which rule could model the height of the nail from the ground?

a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3

Answers

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

f ( x ) = 1.5cos ( 16πx ) + 1.5

Let the diameter of the tire be x

Let the height of the nail from ground be f ( x )

On simplifying , we get

when x = 3 feet

f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5

f ( 3 ) = 1.5 cos ( 48π ) + 1.5

From the trigonometric relation cos ( nπ ) = 1

f ( 3 ) = 1.5 + 1.5 = 3 feet

Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ3

PLZ HELP I WILL GIVE BRAINIEST AND 15 POINTS!!! answer these 2 questions
Q1. A rectangular prism is a _____ figure.
1. 3-dimensional figure
2. 1-dimensional figure
3. 2-dimensional figure

Q2. If a figure has eight vertices and 12 edges, how many faces does it have?

Answers

Answer:

DELETE

Step-by-step explanation:

What is 2.712264 rounded to the nearest cent?
marking brainliest

Answers

Answer:2.7

Step-by-step explanation:trust me

Answer:

2.71-----------------


If y varies inversely as the square ofx, and y = 1/8 when x = 1, find y when x = 5

Answers

Answer:

25/8

Step-by-step explanation:

The question can be interpreted as

Y= k/x^2.......eqn(1)

Where k= constant if proportionality

y = 1/8 when x = 1,

Substitute, we have

1/8= k/(1)^2

1/8= 1/k

Cross multiply

K= 1/8

find y when x = 5

From eqn(1)

Y= k/x^2

Y= (1/8)/(5)^2

Y=1/8 ×25

Y= 25/8

hello please help i’ll give brainliest pls

Answers

Answer:

iqiquwieueoeukr jffjfk

Step-by-step explanation:

iwiwi3uurueu3u bb fnwowjdk italiano

What is the circumference of the circle when there's a radius of 5

Answers

its approximately 31.42 depending on how many digits of pi you use

hii frnds i m new in this app​

Answers

Answer:

Hello

Step-by-step explanation:

Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!

Answer:

Welcome to Brainly. I hope you enjoy your stay.

At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate​

Answers

Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

#[tex]AnimePower[/tex]

urgente:
Um veículo consome 2,25 litro de combustível em 33,75 quilômetro percorrido. Quanto quilômetro o veículo percorre em um litro de combustível?

A)5
B)7
C)10
D)15


PS: por favor explicar a resposta

Answers

Answer:

15

Step-by-step explanation:

1) we can use a proportion

2.25 : 33.75 = 1 : x

in a proportion the product of the terms nearest to equal is equal to the therms furthest than equal

33.75 * 1 = 2.25 * x

x = 33.75/2.25 = 15

Determine which statements are true or false

Answers

First one false, second one true, third one false

plz help urgent so easy will give brainliest mark for the first answer given!!

Answers

Answer:

Step-by-step explanation:

6). Equation of the line has been given as,

    4x + 9y = -9

    By converting this equation into y-intercept form,

    9y = -4x - 9

    [tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]

    [tex]y=-\frac{4}{9}x-1[/tex]

    By comparing this equation with y = mx + b

    Here, m = Slope of the line

    b = y-intercept

    Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]

    y-intercept (b) = -1

8). Equation of the line is,

    5x + 3y = 12

    3y = -5x + 12

    [tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]

    [tex]y=-\frac{5}{3}x+4[/tex]

    Slope of the line = [tex]-\frac{5}{3}[/tex]

    y-intercept = 4

help pls, i cant figure it out

Answers

Answer:

280 square units

Step-by-step explanation:

Area of the rectangle:

  A = b* h = 16 * 15 = 240

Area of the triangle:

   A = bh/2 = (16*5)/2 = 40

Total area = area of triangle + area of rectangle = 240 + 40 = 280 square untis.

answer : 280 units pog

neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!

Answers

Answer:

100000 is your answer

Step-by-step explanation:

Hope it helps...

Thanks for the points

Answer:

100000

Step-by-step explanation:

[tex]\sqrt{10^{10} }[/tex]

[tex]10^5[/tex]

[tex]100000[/tex]

---------------

Thanks, have a great day!!

Simplify: 2³ + 8 – 16 ÷ 8 ⋅ 2

Answers

Answer:

12

Step-by-step explanation:

PEMDAS

FILLER FILLER FILLER

Answer:

15

Step-by-step explanation:

2x2x2=8

8x2=16

16/16=1

8+8=16

16-1=15

which of the following r-values represents the strongest correlation?

A.-0.61
B.-0.51
C.-0.81
D-0.71

Answers

The r-value that represents the strongest correlation is -0.81 (option C). Details about correlation coefficient can be found below.

What is correlation?

Correlation coefficient is any of the several measures indicating the strength and direction of a linear relationship between two random variables.

The correlation coefficient is denoted by r. A r-value can either be negative or positive depending on the direction of the relationship.

However, the closer a r-value is to 1, the stronger the relationship. This means that a r-value of -0.81 represents the strongest correlation.

Learn more about correlation coefficient at: https://brainly.com/question/27226153

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