Why are the triangles below congruent?
Answer:
SAS
Step-by-step explanation:
As shown, you are given two measures of sides and since the intersecting lines(triangles) create vertical angles, then they are congruent.
Answer:
SAS
Step-by-step explanation:
there are two congruent sides given on the triangles and that shows us that the vertex of both triangle where they meet is congruent... so its side-angle-side
PLEASE HELP ASAP. I NEED THESE ANSWERED.
5. X to the fourth power plus the product of six and the square root of nine.
6. Fifteen plus eight cubed minus the sum of fourteen and six squared.
7. The product of three and fifteen minus nine plus the quotient of fifteen and three.
8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.
Given problems;
Interpret mathematically;
5. X to the fourth power plus the product of six and the square root of nine.
X⁴ + (6 x [tex]\sqrt{9}[/tex])
X to the fourth power X⁴
Plus +
product of six 6 x
square root of nine [tex]\sqrt{9}[/tex]
6. Fifteen plus eight cubed minus the sum of fourteen and six squared.
Fifteen 15
plus eight cubed + 8³
minus -
the sum of fourteen and six squared (14 + 6²)
15 + 8³ - (14 + 6²)
7. The product of three and fifteen minus nine plus the quotient of fifteen and three.
product of three and fifteen (3 x 15)
minus nine - 9
plus the quotient of fifteen and three + ([tex]\frac{15}{3}[/tex])
(3 x 15) - 9 + ( [tex]\frac{15}{3}[/tex])
8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.
The product of seventeen and y (17 x y)
plus the square root of eighty-one + [tex]\sqrt{81}[/tex]
minus the product of six and x minus four - (6 x X)
minus four -4
(17 x y) + [tex]\sqrt{81}[/tex] - (6X) - 4
A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type of ticket sold and the revenues for the first three shows of a tour. What is the price of each type of ticket?
Answer:
The price of one Balcony seat = $50
The price of one Ground level seat = $90
The price of one VIP seat = $180
Step-by-step explanation:
Let the price of one Balcony seat = $[tex]x[/tex]
Let the price of one Ground level seat = $[tex]y[/tex]
Let the price of one VIP seat = $[tex]z[/tex]
As per the given table:
[tex]135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)[/tex]
Multiplying (1) with 2 and subtracting (2) from it:
[tex]120x+290y=32100 \\12x+29y=3210..... (4)[/tex]
Subtracting (3) from (1):
[tex]5x+15y=1600\\x+3y=320 ....... (5)[/tex]
Multiply equation (5) with 12 and subtracting (4) from it:
[tex]7y=630\\\Rightarrow y =\bold{90}[/tex]
By equation (5), putting value of [tex]y[/tex]:
[tex]x=\bold{50}[/tex]
By equation (1), putting the values of [tex]x, y:[/tex]
[tex]135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}[/tex]
Therefore, the answers are:
The price of one Balcony seat = $50
The price of one Ground level seat = $90
The price of one VIP seat = $180
show your work
n − 8 = −10
Answer:
n = -2
Step-by-step explanation:
n − 8 = −10
n = -2
Answer:
n = -2
Step-by-step explanation:
22. Find the area of the figure pictured below.
Answer:
35
Step-by-step explanation:
The area of given figure is, 35 meter².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, We know that;
⇒ Area of rectangle = Length × Width
So, The area of figure is,
⇒ 9 × 3 + (7 - 3) × 2
⇒ 27 + 4 × 2
⇒ 27 + 8
⇒ 35 meter²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
Study the grid closely and name the ordered pairs of the 4 red points A, B, C, D on this coordinate system. Will the line joining A &
B pass through D? How would you prove that it does or does not? Answer in the discussion below!
9514 1404 393
Answer:
A(0, 0), B(1, 1), C(5, 1), D(8, 7)no; Dx ≠ DyStep-by-step explanation:
1) Upon studying the grid, we see that A is at the intersection of the x- and y-axes, and that all of the other points are in the first quadrant. The distance between minor grid lines in either direction is taken to be 1 unit. That is, B is 1 unit right and 1 unit up from A(0, 0), so has coordinates B(1, 1).
The coordinates of C and D can be found by counting grid lines. We find them to be C(5, 1) and D(8, 7).
__
2) The line joining A and B is a line whose points have their x-coordinate equal to their y-coordinate. The coordinates of D are not equal, so will not be on that line.
Please someone answer this for me
which of the following are not polynomials
Answer:
A, B, C
Step-by-step explanation:
The variables in a polynomial term are non-negative integers.
A: x is to 1/2 power (square root) . . . not a polynomial
B: x is to -2 power . . . not a polynomial
C: x is to -2 power . . . not a polynomial
D: x is to powers of 2 and 1 . . . is a polynomial
The choices A, B, and C are not polynomials
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
Please help and give answers correctly for brainliest please i really need help
Answer:
a: copper wire is the largest
b: he will have both 32 if he cuts the copper shorter
Step-by-step explanation:
In the number 23.026, how do the values of the 2s compare?
The 2 in the ______ is ______ the two in the _____ place
Answer:
98
Step-by-step explanation:
One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial?
A. (2x + 1)(x - 1)
B (2.x2 - x+ 1)
C (2x2 + 1)
D. (2x - 1)(x+1)
Answer:
It's actually D (2x - 1)(x+1)
Step-by-step explanation:
The required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).
Given that,
One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial is to be determined.
What are the factors?
factors can be defined by splitting the value into multipliable values.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x - 2 is one factor of 2x³ - 3x² - 3x + 2 than
( 2x³ - 3x² - 3x + 2 ) / x - 2 = 2x² + x -1 = (2x - 1)(x + 1)
Thus, the required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of homeowners selected from this area showed that they pay an average of per month for their mortgages. The population standard deviation of such mortgages is . a. Find a confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. 1538.51 to 1627.49 dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The 97% confidence interval is [tex]1528 < \mu < 1612 [/tex]
b
Option A and Option D are correct
Step-by-step explanation:
From the question we are told that
The sample size is n = 119
The sample mean is [tex]\$ 1570[/tex]
The population standard deviation is [tex]\sigma = \$ 211[/tex]
Generally given that the confidence level is 97% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 97 )\%[/tex]
=> [tex]\alpha = 0.03[/tex]
From the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.17[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
[tex]E = 2.17* \frac{211}{\sqrt{ 119 } }[/tex]
=> [tex]E = 41.98 [/tex]
Generally the 97% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1570 - 41.98 < \mu < 1570 + 41.98 [/tex]
=> [tex]1528 < \mu < 1612 [/tex]
Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.
Generally the margin error is directly proportional to the critical value of [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa
Also the margin error is inversely proportional to the square root of sample size
Hence to reduce the width of the confidence interval we need to lower the confidence level and increase the sample size
5. Write the following as a decimal: Forty-three thousandths
0.043
0.43
43,000
0.0043
Answer:
The answer would be A)
Step-by-step explanation:
is this relation a function? justify your answer (2,3 4,9 6,10 9,5)
Answer:
Yes
Step-by-step explanation:
Each Input has a different output making it a function
2. The length of time � necessary to complete a key operation in the construction of houses has an exponential distribution with mean 10 hours a. How long do you expect the key operation to take? b. What is the probability the key operation will take less than 24 hours? c. What is the probability the key operation will take at least 5 hours? d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours? e. What do you notice about your answers to part c and part d? What is this property called?
Answer:
This question has been solved in the attachment I added to the answer. Please try to follow the calculations. If you have any questions you can drop it on the comment section.
a. How long do you expect the key operation to take?
The operation would take 10 minutes
b. What is the probability the key operation will take less than 24 hours
= 0.909285 or 0.909
c. What is the probability the key operation will take at least 5 hours?
= 0.606
d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours?
0.6065
e. What do you notice about your answers to part c and part d?
Part c an d have the same values.
For each heart there are 2 stars. Which model shows this relationship? I NEED HELPPP ILL MAKE U THE BRIAN THINFG
Answer:
D
Step-by-step explanation:
Just came from the quiz
solve the equation -10xx+1+7x=37
Answer:
x = No Real Solutions
Step-by-step explanation:
[tex]-10x^2+7x+1=37[/tex]
37-1=36; [tex]-10x^2+7x+(-36)=0[/tex]
[tex]x=\frac {-7(+/-)\sqrt{7^2-4(-10)(-36)}} {2^-10}[/tex]
[tex]x=\frac {-7(+/-)\sqrt{-1391}} {-20}[/tex]
x = No Real Solutions
A shoe store donated a percent of every sale to charity. The total sales were 6,100 so the store donated 305 what percent of 6100 was donated to charity
Answer:
20%
Step-by-step explanation:
6100/305 is 20
Im doing the same question and the answer is 5%
help please, i need it due in 5 min
what is the answer? pls help
Answer:
for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal
to check this, we will use the following formula
y4 - y3 = y2 - y1
if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise
5 - 8 = 7 - 3
-3 = 4
LHS ≠ RHS
Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly
Therefore, option 4 (Not a line) is correct
Answer:
it is not a constant line
Step-by-step explanation:
each x value increases by 1, but the y values are all over the place and are in no order.
PLEASE HELP ME!! WILL MARK BRIANLIEST!
Answer:
462
Step-by-step explanation:
15 x 11 + 33 x 9 = 462
100% sure gimme brainliest please thanks
Answer:
Its 462
Step-by-step explanation:
The first aircraft has 48 more seats than the second aircraft. The third aircraft has 58 fewer seats than the second aircraft. If their total number of seats is 401, find the number
of seats for each aircraft
The first aircraft has seats. (Simplify your answer)
Answer:
1st aircraft has 353 seats
2nd aircraft has 343 seats
Step-by-step explanation:
401 minus 48 equals 353 (1st aircraft)
401 minus 58 equals 343 (2nd aircraft)
Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?
Answer:
The Answer is B
Step-by-step explanation:
Trust me i did it
Answer:
B ANSWER IS B
Step-by-step explanation:
20 POINTS IF ANSWERED
what’s 2x+y=4 in slope intercept form
find the percent from 62 to 7
Answer:
66.34
Step-by-step explanation:
if my calculations are correct it should be 66.34
The answer should be 66.34
PLZ HELP FAST?!??!!!!!!?!?!!?!!!
Answer:
i think you do 175 x 1. 175 x 2. 175 x 3, and 175 x 4
Step-by-step explanation:
The length of a rectangle is 3 inches more than it’s width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answer:
Length = 9 in Width = 12 inStep-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
Let l be the length and w be the width of the rectangle.
Length l = 3 + w
Perimeter P = 42 in
Perimeter = 2l + 2w
42 = 2(3 + w) + 2w
w = 36/4
w = 9 in
solve for l by substituting the value of w = 9 into the equation:
l = 3 + w
l = 3 + 9
l = 12 in
Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
Shawn buys a new bike for $75.50 and a new helmet for $12.50. If the sales tax rate is 11%, what will be the amount of sales tax on Shawn’s purchase?
Answer:
$9.68
Step-by-step explanation:
The total cost before tax is $75.50 + $12.50 = $88
11% of $88 = 0.11 * $88 = $9.68
Answer: $9.68
Answer:
Step-by-step explanation:
$75.50 (bike) + $12.50 (helmet) = $88 (this is the amount shawn will pay before tax
next $88 (total before tax) multiplied by 0.11 (11% tax) to get $9.68 tax. that should be the answer
edit: answer was wrong before, im really sorry if you already submitted the answer and i got it wrong for you.