Find the value of x.
What theorems would/could you use to find x?
Thank you in advance
Answers
Answer:
a. Linear pair theorem
b. x = 40
Step-by-step explanation:
a. x° and (4x - 20)° are angles on a straight line, so, they are a linear pair. Therefore, we would apply the linear pair theorem, which says the sum of a linear pair gives us 180°.
b. x° + (4x - 20)° = 180° (linear pair theorem)
Solve for x
x + 4x - 20 = 180
5x - 20 + 20 = 180 + 20
5x = 200
5x/5 = 200/5
x = 40
Related Questions
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answers
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
Help me with number
4,5,6,7
Answers
Answer
number
4.D
5.B
6.C
7.BHopes this helpFind the missing length of the triangle.
Answers
Answer:
89
Step-by-step explanation:
Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]
Hypotenuse = sqrt[ (39)2 + (80)2 ]
Hypotenuse = sqrt[ 1521 + 6400 ]
Hypotenuse = sqrt[ 7921 ]
Hypotenuse = 89
Answer:
45 is your answer c=45 13
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answers
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answers
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
The square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14. What are the new dimensions of the pool?
Answers
[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]
[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]
The new dimensions of the pool are; Width = 9 and Length = 20.
What is rectangular figure?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.
[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]
The root of the expression;
[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]
The dimensions are;
Width = 3 + s = 9
Length = 14 + s = 20
Learn more about the rectangle here;
https://brainly.com/question/15019502
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Can someone help with this?!
Answers
Answer:
-12r + 8s
Explanation:
Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.
At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?
Answers
Answer:
3828 people
Step-by-step explanation:
a² + b² = c²
a = x
b = x
c = 9√2
please help me find the value of x, asap!
Answers
Answer:
x = 9
Step-by-step explanation:
According to Pythagoras theorem a² + b² = c²
Given that
a = x
b = x
c = 9√2
Substitute'
x² + x² = (9√2)²
2x² = 81 * 2
x² = 81
x = √81
x = 9
Hence the value of x is 9
A
B
C
D
Or none of the above?
Answers
If cotton candy sells for $4 per bag and the booth is
open for 12 hours, how many bags does the owner
have to sell to break even?
Answers
Answer:
Here ya go ! :)
Step-by-step explanation:
5 + 2x = 13
Solve for x
Answers
2x=13-5
2x=8
X=4
Zaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!
Answers
Answer:
D
Step-by-step explanation:
Ryan wrote a number on his paper. His number rounds to 350 when rounded to the nearest ten. His number rounds to 300 when rounded to the nearest hundred. Enter a number that Ryan could have written.
Answers
Answer
342 is one
Step-by-step explanation:
Calls to a customer service center last on average 1.4 minutes with a standard deviation of 1.7 minutes. An operator in the call center is required to answer 52 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answers
Answer:
the expected total amount of time in minutes is 88.4
Step-by-step explanation:
The computation of the expected total amount of time in minutes is given below:
= Standard deviation × needed to answer calls each day
= 1.7 × 52
= 88.4
hence, the expected total amount of time in minutes is 88.4
When the football play started,
Tony ran forward 20 yards,
then turned around and ran 5 yards back.
He stood in that spot for 3 seconds,
then walked back to where he began.
Answers
Which terms should Paul write in squares M1 and M2?
Answers
a a a a a a a aa aaa a a aaaa
Answer: it's 5x and - 4x
equation is 4 x² + x -5
the factors of -20 = - 4 × 5
4 x² + 5x - 4x -5
x ( 4 x +5) -1 ( 4x +5)
(x -1) (4 x +5
Have a awesome day❤️✨Step-by-step explanation:Find the measure of 46.
6
620
6.6
{
66 = [?]
2003 - 2021 Stellus Corporation. All Rights Reserved.
Answers
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
One number is 7more than twice the other number. If the sum of the two numbers is 25, find the two numbers.
Answers
Answer:
6 and 19
Step-by-step explanation:
x+2x+7=25
3x=18
x=6
the other number is 19
10. A tennis racquet costs $89.50. How much do you save when the store advertising that it will pay the tax?
Answers
Answer:
It depends on the amount of tax. That also depends on the state of the sale.
Step-by-step explanation:
please solve f(x)=2x+3
Answers
Answer:
-3÷2
Step-by-step explanation:
if you have solving for x
1st step: will be to set up the function =0
so 2x+3=0
then 2x=-3
so x= -3/2
find the axis symmetry and vertex. f(x)=-1/2x2-x find the domain and range.
Answers
Answer:
the easiest way to get these numbers is to graph the function, i use desmos.
Step-by-step explanation:
the axis of symmetry is -1
the vertex is -1, 0.5
the domain is all real numbers
the range is all real numbers that are <= 0.5
You pick one tile without looking from a bag that has 2 blue, 3 red, and 5 yellow tiles. Find each probability. Write your answer in simplest form.
Answers
Answer:
Blue: 1/5
Red: 3/10
Yellow: 1/2
Ashley has 4 pairs of low-top sneakers, 7 pairs of high-top sneakers, 3 pairs of sandals, and 1 pair of boots. What is the ratio of the pairs of low-top sneakers to the total number of pairs of shoes
Answers
The ratio is 4:15
what is ratio?A ratio indicates how many times one number contains another.
Given:
low-top sneakers= 4
high-top sneakers= 7
sandals= 3
boots = 1
Total shoes= 15
Now,
low- top sneakers : totals shoes
=4:15
Learn more about ratio here:
https://brainly.com/question/23499990
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Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
Answers
See attachment to get your answer. Thanks.
Find the slope of the line that passes through (2, 5) and (9, 1). Simplify.
Answers
Answer:
-4/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-5)/(9-2)
m=-4/7
At a park, 80 out of the 200 people there are men. The rest are women.
What percent of the people are women?
Answers
120/200=60% women
Answer: 3/5 of the park population is female, or 60 percent. How? 80:200 can be simplified to 40:100, and this in fraction form is 40/100. We can further simplify it by dividing both by 10 to get 4/10, and then by 2 to get 2/5. 5 - 2 = 3, so 3/5 is the answer.
I hope this helps!
If you graphed the equation, y = -6, what kind of line would you create?
Answers
a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick
Answers
Find the scale factor of the height:
6.5cm / 2.5cm = 2.6
Multiply the known pages by the scale factor:
150 x 2.6 = 390 pieces of paper.
If quadrillateral has sides that measure 4 in and angles that all measure 90 we can consider the quadrilateral to be