Given:
Consider angle S is congruent to angle U.
The angle S is (5x-11) degrees and angle U is (4x+9) degrees,
To find:
The value of x.
Solution:
Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.
[tex]m\angle S=m\angle U[/tex]
Put the given values.
[tex]5x-11=4x+9[/tex]
Subtract 4x from both sides.
[tex]5x-4x-11=9[/tex]
Add 11 on both sides.
[tex]x=9+11[/tex]
[tex]x=20[/tex]
Therefore, the value of x is 20.
Solve. -23 = -2a -10 + a
Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
Is numbers 9 and 10 correct ??!!
For number 9 I put : -2
For number 10 I put : 5/4, 4/5 , .75, 1.4, -5.8
Answer:
the answers are -2 and -5.8, 0.75, 4/5, 5/4, 1.4
Step-by-step explanation:
Select the correct answer. Which number is a zero of h(x) = (x2 − 81)(x + 4)
A. 0
B. 4
C. 9
D. 81
Answer:
9 is a zero of h(x). C. Correct
Step-by-step explanation:
We want to find the zeros of the function
[tex]h(x) = (x^2 - 81)(x + 4)[/tex]
The zeros are the values of x that make h(x)=0, thus we need to solve the equation:
[tex](x^2- 81)(x + 4)=0[/tex]
Factoring:
[tex](x^2 - 81)=(x-9)(x+9)[/tex]
[tex](x-9)(x+9)(x + 4)=0[/tex]
This equation has 3 solutions:
x=9, x=-9, x=-4
A. 0 is not a zero of h(x). Incorrect
B. 4 is not a zero of h(x). Incorrect
C. 9 is one of the zeros of h(x) calculated above. Correct
D. 81 is not a zero of h(x). Incorrect
Answer:
C) 9
Step-by-step explanation:
I had this question on a recent test and I got it right
I hope this helps! :)
What is the equation of the line that is perpendicular to and has the same y-intercept as the given line
Answer:
y = 5x + 1
Step-by-step explanation:
Visually you can see the slope is -1/5, perpendicular just means opposite inverse so -1/5 becomes 5. Line crosses the y-intercept at point (0, 1).
y = mx + b
y = 5x + 1
Answer:
C.
Step-by-step explanation:
Just took the test
how to Simplify: -2n + 11 + 6n
Answer:
4n + 11
Step-by-step explanation:
-2n + 6n = 4n
11 just stays as is
Answer:
4n + 11
Step-by-step explanation:
Combine like terms.
-2n + 11 + 6n = 4n + 11
A Ferris wheel has a radius of 65 feet. What is the
circumference of the wheel? (This is the distance each
passenger will travel in one complete revolution.)
Round to the nearest tenth, and use
T 3.14
Answer:
408.41 feet
Step-by-step explanation:
C = 2πr
C = 2π(65)
C = 408.41 feet
g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic conditions. However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.7%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. Report your answer as a percentage rounded to 3 decimal places. We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between % and % Submit All Parts Question 6
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\r p = 43\% = 0.43[/tex]
The standard error is [tex]SE = 0.017[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.96 * 0.017[/tex]
=> [tex]E = 0.03332 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.43 -0.03332 < p < 0.43 + 0.03332[/tex]
=> [tex] 0.39668 < p < 0.46332[/tex]
Converting to percentage
[tex] (0.39668 * 100)< p < (0.46332*100)[/tex]
[tex] 39.7\% < p < 46.33 \%[/tex]
The total cost of a shopping trip was $123.35? Layla bought 4 skirts and a pair of shoes for $35.67. Which equation can be used to find the price of each skirt?
A. 123.35 = 35.67x +4
B. 35.67 = 123.34x + 4
C. 35.67 = 4x + 123.34
D. 123.35 = 4x + 35.67
Answer: D
Step-by-step explanation: The 4 skirts cost are unknown which makes up the 4x and the extra pair of shoes adds on to the cost by 35.67.
During the first 3 week of training, a runner runs 20 miles, 22 miles, and 21 miles. How many more miles must she run during the fourth week to have a mean of a least 22 miles per week?
Answer:
25
Step-by-step explanation:
mean = SUM/#of values
(20+22+21+x)/4=22
solve for x
x=25
5 and (-5) are a zero pair. ture False
Answer:
true
Step-by-step explanation:
when you put them together you get 0
1. If two parallel lines are cut by a transversal, then alternate interior angles are congruent
2. If two parallel lines are cut by a transversal, then corresponding angles are congruent
3. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent
4. If two parallel lines are cut by a transversal, then complementary angles are congruent
the following are my reminders in using this module
By the property of alternate interior angles, Option (1) is the correct statement.
From the figure attached,
∠XWY ≅ ∠ZYWProperty of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.
By this property,
Lines XW and YZ are the parallel lines intersected by a transversal WY.
Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, Option (1) will be the correct option.
Learn more,
https://brainly.com/question/12101094
Find the sum of -9X + 13 and -16x - 6
A.-25x +7
B. 25x -7
C.-25x-7
D.25x+7
Answer:
A. -25x + 7
Step-by-step explanation:
First, to answer this question, we will combine the two sides of the equation:
(-9x + 13) + (-16x - 6)
Now, we take away the parentheses and add like terms:
-9x + 13 + -16x - 6 =
-25x + 7
So, the answer would be A. -25x + 7
Hope this helps :)
Consider the figure shown
Answer:
x = 60 degrees
Step-by-step explanation:
In a triangle, all the inside angles should add up to 180 degrees, so to get this question, we have to add the angles we know and then subtract 180 by the number we get:
68 + 52 = 120
180 - 120 = 60
So, x = 60 degrees
Hope this helps :)
Please hurry.
Simplify completely.
(2 + 3i)+(-4+1)
A. 2+4i
B. 6+4i
C.-2+2i
D. 6+2i
E. -2+4i
Answer:
3i-1
Step-by-step explanation:
2+3i-3
3i-1
Answer:
-1 + 3i.
Step-by-step explanation:
Hope this helps!
What is the domain of the function
f(x) = -4 log2 (x + 3) – 6
Answer:
Domain: (-infinity,infinity)
Step-by-step explanation:
You're welcome. :)
(I couldn't write the symbols) So I wrote infinity. Hopefully I helped!
find surface area please
Answer:
203
Step-by-step explanation:
When calculating surface area, you add the area of each side.
Base: LxW = 7x7 = 49
Triangle Sides: 1/2 b x h = 1/2(7) x 11 = 38.5
4 sides: 38.5x4 = 154
154+49 = 203
Which equation represents a line that passes through -2,4 and has a slope of 2/5 need help Now
Answer:
y = 2/5x + 24/5
Step-by-step explanation:
y - 4 = 2/5(x - (-2))
y - 4 = 2/5(x +2)
y - 4 = 2/5x + 4/5
y = 2/5x + 4/5 + 4
y = 2/5x + 24/5
A mathematical phrase containing at least one variable.
how do you solve this equation 19−4c=17
Answer: Whatever you do to one side, you do the same operation on the other. The goal is to get the variable alone with a number on the other side.
Here's how:
Step-by-step explanation:
19−4c=17
19 - 19 - 4c = 17 - 19 Subtract 19 from both sides 19-19 =0 Cancels on the left
-4c = 17-19 subtract: 17-19 = -2
-4c = -2
-4c/4 = -2/-4 Divide both sides by -4
Negatives divided by Negatives have a Positive quotient -4/-4 =1, Cancels
c = 1/2
What is the ratio of 3 inches to 20 feet
Answer:
1/80
Step-by-step explanation:
Answer:
3 inches is 1/4th of one foot so to 20 ft is 1/80th
Step-by-step explanation:
Remember, 12 in.=1 FT
Hope this helps
;)
What is 1/4g(5+3)−4g+13
Answer:
simplify to -2g+13
Step-by-step explanation:
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?
Answer:
$513.75
Step-by-step explanation:
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.
$498.75 + $2.50 × x
If he works 6 hours on the weekend in addition to the 35 hours during the week:
$498.75 + $2.50 × 6
= $498.75 + $15
= $513.75
..................................
Step-by-step explanation:
What's Yo Question ?
Which is bigger 9 to the 27th power or 3 to the 81 power
PLEASE HELP ASAP
Is the function y=x- 5/4 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
y=x-5/4 is a linear equation.
Solve for x:
(x - 2)(x + 1) = 3x - 2
X =
X =
Answer:
x = 0
Step-by-step explanation:
(x - 2)(x + 1) = 3x - 2
2x + x - 2x -2 = 3x - 2
x - 2 = 3x - 2
-2x = 0
x = 0
it took Jose two-third of an hour to complete his math homework on monday three fourths of an hour on tuesday and two-fifths of an hour on wednessday. how many hours did it take Jose to complete his homework altogether?
He spent 1 49/60 total hours on his homework altogether
Multiply.
- 3(6y + 3)
- 3(6y + 3) = (
Answer:
Step-by-step explanation:Basic Math. Simplify (6y-3)(6y+3). (6y−3)(6y+3) ( 6 y - 3 ) ( 6 y + 3 ). Expand (6y−3)(6y+3) ( 6 y - 3 ) ( 6 y + 3 ) using the FOIL Method
find the difference 67 -43
Answer:
Here's how to solve
Step-by-step explanation:
67-43.
7-3=4
6-4=2
so 24 and to check if it is correct substitute 24 in the equation
24+43= 67
24 is your answer
Answer:
[tex]67 - 43 \\ \\ = 24 \\ then \\ 24 + 43 \\ = 67 \\ now \\ [/tex]
John bought a car for $36,000, he didn't have enough money to buy the car totally, so he gave $1000 monthly, how much money did he give after 1 year, and how much does he has to give more?
There are twelve months in a year, and he pays $1000 a month, so we get [tex]\$1000*12 = $12,000[/tex] spent in a year. He originally needed to spend $36,000, so he has [tex]\$36,000-\$12,000 = \$24,000[/tex] left.
Please mark as Brainliest if you found this helpful.
Answer:
He payed 12,000 in one year
John has to pay $24000
Step-by-step explanation:
Car cost = $36,000
He gave Monthly = $1000
How much money did he give in a year?
1 year = 12 months
So
$1000 x 12 = 12,000
How does he have balance?
$36,000 - $12,000 = $24,000
John payed $12000 in one year, and has to pay $24000 more to own the car.
Hope you understand
:-)