Only Question #5!
If JKLM is a rectangle, find
Measure NML

Only Question #5! If JKLM Is A Rectangle, Find Measure NML

Answers

Answer 1

Answer;

5. 22°

6. 74°

Step-by-step explanation:

5. Since rectangle JKLM has two equal diagonals that intersect each other, therefore JN = MN.

If JN = MN therefore:

m<NMJ = m<NJM

Thus:

3x + 38 = 7x - 2

Solve for x. Collect like terms

3x - 7x = -38 - 2

-4x = - 40

Divide both sides by -4

x = 10

✔️Find m<NMJ

m<NMJ = 7x - 2

Plug in the value of x

m<NMJ = 7(10) - 2 = 70 - 2

m<NMJ = 68°

✔️Find m<NML;

m<NML = 90 - 68° (Complimentary angles)

m<NML = 22°

6. Diagonal of a rhombus bisects teach vertex angle, this means that <U is divided into two equal parts. Therefore:

10x - 23 = 3x + 19

Solve for x. Collect like terms

10x - 3x = 23 + 19

7x = 42

Divide both sides by 7

x = 6

✔️Find m<RST:

m<SUT = m<RST (opposite angles of a rhombus are congruent)

Thus,

m<SUT = (10x - 23) + (3x + 19)

Plug in the value of x

m<SUT = (10(6) - 23) + (3(6) + 19)

= (60 - 23) + (18 + 19)

= 37 + 37

m<SUT = 74°

Also, m<RST = 74°


Related Questions

as it may not be much, It's the best i can do, with such little wealth, take my earning, consider thy points as your spoils.






1^2 +68=69 skippa bap

Answers

Answer:

Thank you!

Step-by-step explanation:

Have a nice day/night lol

Answer:

1^2 +68=69

Step-by-step explanation:

by sqrt rooting 2 by 1 is 1

At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?

Answers

The answer would be -18°F at 6AM
Hope this helps ?(:

Answer:

-18

Step-by-step explanation: -12 - 3 - 3 sence 2 hours passed

i think is the answer

how many times does 82 go into 500

Answers

Answer: 6.09756097561

Step-by-step explanation: that many times

Henry solved the equation 3 (m + 2) = 12 + m
and needs help checking his work. If m = 3, then
help Henry by checking if he solved the equation
correctly. Show your work on the line paper
provided.
Equation: 3(m + 2) = 12 + m
m = 3

Answers

Answer:

Henry derived the value of m correctly

Step-by-step explanation:

insert m into the equation

3(3+2)=12+3

3(5)=15

15=15

Henry derived the value of m correctly

A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?

Answers

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

To know more about an expression follow

https://brainly.com/question/3188652

#SPJ2

find the measure of the red angle​

Answers

Answer:

The measure of the red angle says 20 degrees

the other angle is 70 degrees

Step-by-step explanation:

Help. Algebra rjsffjdnsifvnswkfnc

Answers

Answer:

No x-intercept/Zero

Step-by-step explanation:

f(x)=3x(3/4)x-4

To find x-intercept/zero, substitute f(x)=0

0=3x(3/4)x-4

To raise a fraction to a power, raise the numerator and denominator to that power

0=3x 3 x-4/4 x-4

Calculate the product

0=3 x-3/4 x-4

Since the right-hand side is always positive, the statement is false for any value of x

Since there is no solution for f(x)=0, there is no x-intercept/Zero  

~Can someone please help me with these questions?~

~You don't have to answer them all, but if you do you get Brainliest!~

Answers

Answer:

the answer is B, complementary angles

Step-by-step explanation:

complementary angles are two angles that add up to 180 degrees

105 + 75 = 180

What is the rational number equivalent to 3.12​

Answers

Answer:

3 4/33

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!

A. m= -2
B. m= -1/2
C. m= 2
D. m= 1/2

Answers

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-2-0}{1-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{-2}{1}[/tex][Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]

explain how to use thedistributive property to find an expression that is equivalent to 20 + 16 ​

Answers

Answer: 4(5 + 4)

Step-by-step explanation:  Both 16 and 20 are multiples of 4, so factor out 4 and  leave the remaining factors in parentheses

4*5 + 4*4  becomes

4(5 + 4) add  inside parentheses

4(9)  multiply to check

4 × 36

same as adding 20 + 16 = 36

The total cost of a ticket and the online fee for one ticket is $32.25.Let f represent the cost of ordering each ticket online.Write an equation that could be used to find the cost of ordering each ticket online.

Answers

Answer:

The equation is f = z - x

Step-by-step explanation:

The equation is

Given that

The total cost + online fee for one ticket is $32.25

Let us assume f be the cost of ordering each ticket online

Cost of each ticket be x = $24.95

And, the total cost = z = $32.25

Now the equation would be

x + f = z

So for f it would be

f = z - x

Simplify the expression. -5/8(-3/8-1/4) ​

Answers

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

Easy 7th math please help

Find the value of x.

Answers

Answer:

x=160/7 ° .    or 22 6/7°

Step-by-step explanation:

Vertical angles

16x + 40° = 360 .   360-40 = 320

320°/14

x=160/7°

I need help with this problem..

Answers

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

Identify the scale factor used to graph the image below

Answers

Answer:

[tex]Scale = \frac{2}{3}[/tex]

Step-by-step explanation:

To solve this question, I'll use the coordinates of SV and S'V' as points of reference.

From the attachment:

[tex]S = (3,6)[/tex]

[tex]V = (15,3)[/tex]

[tex]S' = (2,4)[/tex]

[tex]V' = (10,2)[/tex]

First, calculate distance SV

Distance formula is:

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

For SV:

[tex]d_1 = \sqrt{(15 - 3)^2 + (3 - 6)^2}[/tex]

[tex]d_1 = \sqrt{(12)^2 + (-3)^2}[/tex]

[tex]d_1 = \sqrt{144 + 9}[/tex]

[tex]d_1 = \sqrt{153}[/tex]

For S'V'

[tex]d_2 = \sqrt{(10 - 2)^2 + (2 - 4)^2}[/tex]

[tex]d_2 = \sqrt{64 + 4}[/tex]

[tex]d_2 = \sqrt{68}[/tex]

The scale factor is then calculated using:

[tex]Scale = \frac{S'V'}{SV}[/tex]

[tex]Scale = \frac{d_2}{d_1}[/tex]

Substitute values of d1 and d2

[tex]Scale = \frac{\sqrt{68}}{\sqrt{153}}[/tex]

[tex]Scale = \sqrt{\frac{68}{153}}[/tex]

[tex]Scale = \sqrt{\frac{1}{2.25}}[/tex]

[tex]Scale = \frac{1}{1.5}[/tex]

Express as a proper fraction

[tex]Scale = \frac{1*2}{1.5*2}[/tex]

[tex]Scale = \frac{2}{3}[/tex]

Verify the identity.
Tanx^2/secx= sinxtanx

Please answer this :) I will give brainliest, I’m struggling big time

Answers

Answer:

from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.

PLEASE HELP, THE TUTOR OPTION ISNT WORKING


Two friends went to buy fireworks to celebrate new years eves. One friend bought 6 rockets and 11 bombs for $36.50. The other one bought 14 rockets and 8 bombs for $41. What was the cost of one rocket? (solve with system of equations)

Answers

Answer:

Cost of one rocket = $1.5

Step-by-step explanation:

Given:

6 rockets and 11 bombs cost = $36.50

14 rockets and 8 bombs cost = $41

Find:

Cost of one rocket

Computation:

Cost of one rocket = x

Cost of one bomb = y

So,

6x + 11y = 36.50.....eq1

14x + 8y = 41......eq2

From eq1

y = [36.50 - 6x]/11

From eq2

14x + 8y = 41

14x + 8[36.50 - 6x]/11 = 41

x = 1.5

Cost of one rocket = $1.5

As part of a grand opening, an arcade gave out free tokens to the first 100 customers. If you spent $5, you got 61 tokens. If you spent $6, you got 72 dollars, if you spent $7 you got 83. Construct an equation in y = mx + b

Answers

Answer:

your teacher is they are giving out FREEE tokens so why do you have to pay

Step-by-step explanation

Complete the equation.
-6x2 + 15x – 6 = -3(2x - 1)(x + _)
A. 2
B. -2
C. -3
D. 6

Answers

C because since this is a incomplete equation, finding the missing area all you have to do is divide

Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

Answers

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

Need help with these 2 math questions pls help will mark brainiest

Answers

Answer:

5 D

6 D

hsjsjsainsownx s hq

Answer:

1) D.

6) D.

Step-by-step explanation:

6)

The line is a negative slope. y-intercept: (0, -4) and the x-intercept: (-2, 0)

So to get the slope, use this equation, and use (-2, 0) and (0, -4):

[tex]\frac{y^2-y^1}{x^2-x^1} \\\\[/tex]

[tex]\frac{0-(-4)}{-2-0} \\= -2[/tex]


12 + 4x12 - 3x + 6x15 + 2x - 11x9

Answers

Answer: -x + 51

(this has to be 20 charectors long so just filling in the blank lolz)

URGENT: Sally has five more quarters than dimes. Sally has a total of $9.30. Find the number of dimes and quarters that sally has. (Explain your answer)

Answers

Answer:

36 Quarters and 3 dimes

Step-by-step explanation:

4 x 9 = 36

10 x 3 + 30

Answer:

28 quarters and 23 dimes

Step-by-step explanation:

q = d + 5

.25a +.1d = 9.30

.25(d+5) +.1d = 9.30

.25d + 1.25 +.1d = 9.30

.35d = 8.05

d = 23

23 + 5 = 28

q = 28

What do you already know about fractions?

Answers

A lot BECAUSE I LIKE FRACTOONS

Answer:

A lot

Step-by-step explanation:

. Some are equal to others and some are not.

. Some are halves, whole.

. There are improper ones and mixed numbers.

............ Thats all i got so far im learning more about them now

what is x+3= - (-x+ ___ )​

Answers

Answer:

-3

Step-by-step explanation:

Note the right side of the equation. There is a negative sign outside of the parenthesis. Distribute the negative sign to all terms within the parenthesis:

x + 3 = - (-x + __)

x + 3 = x - ___

Note:

1) When multiplying a negative and positive together, the answer will be negative

2) When multiplying a negative and negative together, the answer will be positive:

x + 3 = x - ___

Note the equal sign, this means that the two side of the equation must equal. This means that the only answer choice is -3:

x + 3 = x - (-3)

x + 3 = x + 3 (True)

~

i need to do this for extra credit because my low grade...someone please help me!! i’ll make you a brainliest:)

Answers

Answer:

A. 4+4

B. 2x4

C. a=2

D. a=5 b=7

Please help ASAP!!!!!

Answers

Given:

The graph of set of ordered pairs.

To find:

The domain of the set of number.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the set of ordered pair is:

{(1,2), (2,4), (3,1), (4,6), (5,4), (6,5)}

Here, the x-values are 1, 2, 3, 4, 5, 6. So, the domain is the set of these values.

Domain = {1, 2, 3, 4, 5, 6}

Therefore, the correct option is A.

Solve the equation

9
- =18
X

Answers

Answer:

x=-0.5

Step-by-step explanation:

the question is -9=18x

we divide both sides by 9

-1=2x

divide both sides by 2

x=-0.5

Victor wants to earn at least $1,500 this month in commission. What is the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells? Round your answer to the nearest dollar.

Answers

Answer:

$23,077

Step-by-step explanation:

Let the minimum amount you want to earn be represented as x

Therefore

6.5% of x = $1,500

6.5/100 × x = $1500

6.5x/100 = $1500

Cross Multiply

6.5x = $1500 × 100

x = $1500 × 100/6.5

x = $23076.923077

Approximately to the nearest dollar= $23,077

Therefore, the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells is $23,077

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