If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.

If 1 = 3x, 2 = 5x + 18, And S R, Find M1.

Answers

Answer 1

I hope it will help you.

If 1 = 3x, 2 = 5x + 18, And S R, Find M1.
Answer 2

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found


Related Questions

How many multiples of 9 are between 100,000 and 100,185?

Answers

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Someone please help with this ASAP!!! I will give brainliest

Answers

Answer:

12m

7m

2520 m³

Step-by-step explanation:

Answer:

h=7m

top width=12m

v=l*w*h

=28*12*10=3360

volume of the top=3*20*12

720

v of the shape is= 3360-720

=2649

When purchasing a new Cell Phone Plan you are given two pay options (Both included
unlimited text):
With Plan A, you can pay 23 cents per minute. This can be represented by the equation
C= 0.23m
With Plan B, you can pay 19 cents per minute plus a flat fee of $9.00. This can be
represented by the equation c = 0.19m + 9.00
Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A

Answers

Answer:

225 and greater

Step-by-step explanation:

900/4 or 900 cents/ 4 cents equals 225 on calculator

We use 225 minutes for Plan B to be less expensive than plan A.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

For plan A,

We can pay 23 cents per minute.

This can be represented by the equation,

C= 0.23m

For plan B,

We can pay 19 cents per minute plus a flat fee of $9.00.

This can be represented by the equation,

C = 0.19m + 9.00

Now, To find the minutes for plan B is less expensive than plan B

We can write an inequality that represent,

Plan A < Plan B

0.23m < 0.19m + 9

0.23m - 0.19m < 9

0.04m < 9

Divide 0.04 both side,

m < 225

Thus, We use 225 minutes for Plan B to be less expensive than plan A.

Learn more about the inequality visit:

https://brainly.com/question/16914953

#SPJ2

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answers

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

Help help help help

Answers

answer: 116⁰

z⁰ for y⁰ because it's

equal

Please help me! I will give you Brainlist if you get it right!​

Answers

Answer:

B

Step-by-step explanation:

Have a nice day

Answer:

B as well

Step-by-step explanation:

As you can work out the area of rectangle by l ×w

which is 18×36 =648

and you can also work out the area of a segment which is

[tex]\pi \times {r}^{2} \div 2[/tex]

so pi ×18^2÷2 and then add 648 you get 1156.9.

Calculating area of rectangle.

Your measurements Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2) ________ ________

Required:
Why might two students have different calculated areas when measuring the same rectangle?

Answers

Answer:

Your measurements; Area = 216.108 cm²

Another student's measurements; Area = 216.9404 cm²

- Difference in area could be as a result of human error or perhaps that they made use of different measuring tools.

Step-by-step explanation:

For Your measurements;

Length of rectangle = 20.70 cm

Width of rectangle = 10.44 cm

Area of rectangle is given by; A = length × width = 20.7 × 10.44 = 216.108 cm²

For Another student's measurements;

Length of rectangle = 20.74 cm

Width of rectangle = 10.46 cm

Area = 20.74 × 10.46

Area = 216.9404 cm²

The areas they both obtained are not of equal values and this could be as a result of human error or perhaps that they used different measuring tools.

the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​

Answers

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?

Answers

Answer:

4 mugs of hot chocolate

Step-by-step explanation:

So, we must find out how many mugs of hot chocolate we can make.  

Then we set up a ratio of amount of chocolate to mugs such as  

(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate

Hope this answer helps you :)

Have a great day

Mark brainliest

Write the product in its simplest form : 6c • (-7c^6)

Answers

Answer:

Step-by-step explanation:

(-7*6)(c*c^6) = -42c^7

Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points

Answers

iii; iv; and v

Step-by-step explanation:

I think

(2+5i)+(-3-4i) what is the answer to this question?

Answers

Answer:

-1+i

Step-by-step explanation:

(2+5i)+(-3-4i)

=(2-3)+i(5-4)

=-1+i

Answer:

[tex]−1+i[/tex]

Step-by-step explanation:

[tex](2+5i)+(−3−4i)[/tex]

[tex]2+5i−3−4i[/tex]

[tex]−1+5i−4i[/tex]

[tex]−1+i[/tex]

Hope it is helpful.....

Can you help me with this question? 15 points and brainliest if right!

Answers

Answer:

3/4

Step-by-step explanation:

because it is a linear function it means it has the same slope in every point

so you have to take 2 points and find the slope

I take points (0,1) and (4,4)

m = (y2-y1) / (x2-x1)

note that it does not matter which points you chose to be second or first

m = (4-1) / (4-0) = 3/4

you can solve it from the graph too 3/4 is y/x it means for every 4 unit right move 3 units up

Each side of a square is (7 + 3x) units. Which is the perimeter of the square?

Answers

Answer:

28 + 12x

Step-by-step explanation:

Given,

Sides of a square is = 7 + 3x

Therefore,

Perimeter of a square = 4 × side

= 4 × (7 + 3x )

= 28 + 12x (Ans)

Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?

Answers

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

Which of these would be the opposite of a progressive tax?

Answers

c

A regressive tax is the opposite of a progressive tax because you pay a higher tax rate as your income decreases.

Answer:

b

Step-by-step explanation:

I need help with this fast

Answers

Answer:

1. positive

2. No

(for number 3, I'm not sure if my answer to it is going to be correct)

Step-by-step explanation:

1. the dots look like they are going up

2. there are no outlying dots that look unusual

please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:

Answers

Answer:

We think about ourselves way less than we think 8% of the time.

Step-by-step explanation:

In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).

The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."

simplify 2p/3 ×5p/12​

Answers

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]

x−9≥−12 Express your answer as an inequality.

Answers

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

find the additive inverse and multiplicative inverse of a 5 ​

Answers

Answer:

ans: additive inverse is -5

multiplicative inverse is 1/5

Step-by-step explanation:

adding what value to 5 makes it 0 i.e

5 + (- 5)= 0 ( so additive inverse is -5)

multiplying what value to 5 makes it 1 i.e

5×( 1/5)=1 ( so multiplicative inverse is 1/5)

Prove that : ⬆️⬆️⬆️

Anyone please solve that question.​

Answers

Mark Brainliest please

Answer : see the image attached
Hence proved

Circle the answer choice below that does not equal the following:
- 48/16
1) 48/-16
2) -3
3) 3
4) -(48/16)

Answers

Answer:

3

Step-by-step explanation:

-48/16 = 48/16

-48/16 = -3/1 = -3

10)
X + 80
70°
A) 5
C) -10
B) 8
D) 7

Answers

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

What’s the ratio of 20 to 3

Answers

Answer:

666.666666666667%

Step-by-step explanation:

Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%

20:3
20/3
Think of it as a fraction

How do I do this?? Help plse!

Answers

D, it is the correct answer

Please quickly need this before 30 mimutes

Answers

Answer:

x = 4.48

Step-by-step explanation:

read the picture

A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?

Answers

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)​

Answers

#1

Circle 1 has center at (0, 0)

The tangent passes through the center and point (1, -2).

Equation of tangent at (1, -2):

x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5

If the same line is tangent to circle 2 then they have one common point.

Solve the system:

x = 2y + 5x² + y² - 8x + 6y + 20 = 0

Substitute x:

(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3

We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.

#2

Given circle:

3x² + 3y² - 7x - 6y = 12 and external point (6, -7).

Rewrite the equation of the circle as:

3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36

The center is (7/6, 1) the radius is √229/36

The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:

t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 9

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