Given that lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and measure of angle 7 Explain your reasoning and show your work.


tysm in advance

Given That Lines B And C Are Parallel, And The M&lt;1=4x-30 And M&lt;5=2x+50. Find The Measure Of Angle

Answers

Answer 1
4x-30=2x+50
+30 +30

4x=2x+80
-2x -2x

2x=80
/2 /2

X=40

4(40)-30=130°

2(40)+50=130°

180-130=50°

Angle 7=50°

Answer 2

The required measure of the angle 1 and 7 is given as 130° and 40° respectively.

Given that,
Lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and the measure of angle 7 .

What is the angle?

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
From the figure,
∠1 = ∠5
4x - 30 = 2x + 50
2x = 80
x = 40
Now,
∠ 1 = 4 [40] - 30
∠1 = 130° = ∠5

∠7 = 180 - ∠5
∠7 = 180 - 130 = 40°

Thus, the required measure of the angle 1 and 7 is given as 130° and 40° respectively.

Learn more about Angles here:
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Related Questions

Find the domain of the function.

Answers

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4

Answers

Answer:

4.0833333

Step-by-step explanation:

PLZ give brainliest thanks

BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all

Answers

Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!

Use the properties of multiplication to solve.

(4 x 13) x 25

Answers

1300 because you times 4 by 13 to get 52 and times that by 25
1300 bc I times then add

A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years

$150 at 6% for 18 months

$400 at 3% for 1 year

$100 at 1% for 8 years

$50 at 48% for 6 months​

Answers

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

Learn more about simple interests here:

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Whoever answers in simplest form gets brainliest, 5 stars, and a thanks. Please help asap.

Answers

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

(4,1),(8,2) in slope intercept form

Answers

Answer

y=1/4x

Step-by-step explanation:

2-1/8-4=1/4

Choose either of these points ( I will use 4,1 becuase it's easier)

1=1/4(4)=b

1=1+b

0=b

y=1/4x (you don't put the zero)

URGENT PLEASE DO!! will give brainliest to first person to answer

Answers

29293

Step-by-step explanation:

yes yes !!

A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?

Answers

Answer:

Oranges :100 pound

Apples : 250 pound

Step-by-step explanation:

A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?

=========

0.5p + 0.75m <= 225

p = m + 50

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

Substitute for "p" and solve for "m"::

0.5(m+50) + 0.75m <= 255

0.5m + 25 + 0.75m <= 255

2.25m <= 325

---

m <= 144.44

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

# of oranges : 100 pound

# of pound of apples: m+50 = 250 pound

Hope you understand :)

Pls mark me as brainiest

Answer:

Answer choice C should be more Resonable.

Step-by-step explanation: It is very obvious

because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.  

auestion is in the picture, 10 points!

Answers

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?

Answers

Sheet=2/5cm
180/5=36
36*2=72cm
Packet is 72cm thick (0.72m)

Which of the following best describes the solution to the equation below? 8x + 4 = 8x + 4

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

what is 3(a+b)-2(a-b)​

Answers

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

if f(x)=x/2-2 and g(x)2x^2+z-3, find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

f(x)=3x + 4. (6) g(x) = x2 +. 1 x.

Write the equation of a horizontal line going through the point (8, -1)

Answers

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

What equation represents this sentence?

0.8 increased by a number is 4.5.


4.5 + n = 0.8

0.8n = 4.5

0.8 + n = 4.5

4.5n = 0.8

hurry ill give brainliest

Answers

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

Find the length of the diagonal in rectangle using image 3353

Answers

Answer:

65

Step-by-step explanation:

c=a2+b2=332+562=65

ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?

Answers

Answer:

at least 164

Step-by-step explanation:

Let the third score = x.

(138 + 208 + x)/3 ≥ 170

x + 346 ≥ 510

x ≥ 164

Answer: at least 164

3/8 rounded to the nearest thousand​

Answers

19/50

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5+x>5x-11 solve the inequality

Answers

Answer:

x<4 hope it helps and it's correct

x <4 thats the answer ok

Over time, the value of a car decreases. If the value of a car purchased for Php
1,250,000 decreases to Php 1,000,000 throughout a year, what is the rate of change?

Answers

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon? ​

Answers

Answer:

1738 kilometers

Step-by-step explanation:

please help I’ve been stuck on this for an hour

Answers

Answer:

-3/5

Step-by-step explanation:

there are 86,400 frames of animation in 1 hour of anime. how many frames are there per second? there are 3600 seconds in an hour

Answers

Answer:

Step-by-step explanation:

86400/3600=24 fps

Answer:

There are 24 frames per second.

Step-by-step explanation:

Hi there!

We're given:

1 hour ⇒ 86,400 frames

1 hour ⇒ 3600 seconds

To find the number of frames per second, divide 86,400 by 3600 seconds:

86,400 ÷ 3600 = 24

I hope this helps!

if sinA=1/2 then find sinA +cos A

Answers

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

Solve for x:
-15 = x/-0.5
x =

/ = fraction symbol

Answers

Answer:

7.5

Step-by-step explanation:

You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5

Brainliest pls?

Answer:

7.5

Step-by-step explanation:

You can multiply both sides by -0.5.

-15×-0.5=7.5

x=7.5

Hope that helps! :)

2x+4 over 3 - 5x-7 over 2 = 5 solve the equation

Answers

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

Enter the percent as a fraction. Then enter the fraction in simplest form.

Answers

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

Find two numbers whose difference is 16 and whose product is a minimum. (Enter your answers as a comma-separated list.)

Answers

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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