Line ST is perpendicular to line PR.
What is the measure of ZSQU?
90°
32°
148°
58°
Answers
Given:
Line ST is perpendicular to line PR.
[tex]m\angle PQV=32^\circ[/tex]
To find:
The measure of angle SQU.
Solution:
Line ST is perpendicular to line PR.
[tex]m\angle SQR=90^\circ[/tex]
If two lines intersect each other, then the vertically opposite angles are equal.
[tex]m\angle UQR=m\angle PQV[/tex] (Vertically opposite angle)
[tex]m\angle UQR=32^\circ[/tex]
Now,
[tex]m\angle SQR=m\angle SQU+m\angle UQR[/tex]
[tex]90^\circ=m\angle SQU+32^\circ[/tex]
[tex]90^\circ-32^\circ=m\angle SQU[/tex]
[tex]58^\circ=m\angle SQU[/tex]
Therefore, the correct option is D.
Related Questions
Which expressions show the volume and the surface area of this cube- shaped packing box?
Answers
Answer:
top right
Step-by-step explanation:
I cant see the bottom right but the top has the proper F(t)^3 and 6 surfaces
Write the equation for each graph.
PLEASE HELP ME ON BOTH !!
Answers
m stands for slope, b stands for y-intercept
slope is rise/run, the y-intercept is the point where the line touches the y-axis
1- y=(4/6)x+(-2)
2- y=(-2)x+(3)
x^4 + 25 = 26x^2
please answer quick. I'll give brainliest rothe first person
Answers
[tex]{ \leadsto{ \sf{ \green{ {x}^{4} + 25 = 26 {x}^{2} }}}} \\ \\ { \leadsto{ \sf{ \green{ {x}^{4} - 26 {x}^{2} + 25 = 0}}}} \\ \\ { \sf{ \underline{ \blue{let \: \: {x}^{2} \: be \: equal \: to \: a}}}}[/tex]
[tex]{ \leadsto { \green{ \sf{ {a}^{2} - 26a + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{ {a}^{2} - (a + 25a) + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{ {a}^{2} - a - 25a + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{a(a - 1) - 25(a - 1) = 0}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{(a - 1)(a - 25) = 0}}}} \\ \\ { \sf{ substituting \: value \: of \: a}} \\ \\ { \rightarrow{ \sf{ \blue{( {x}^{2} - 1)( {x}^{2} - 25) = 0}}}} \\ \\ { \sf {{x}^{2} = 1}} \\ { \sf{ \underline{x = \: ± \: 1}}} \\ \\ \\ { \sf {x}^{2} = 25} \\ { \sf{ \underline{x = \: ± \: 5}}}[/tex]
Find the slope of the line that passes through (4, 1) and (9, 8).
Answers
the slope is 7/5
What does this mean?
Answers
Answer:
Plug in -3 as x
Step-by-step explanation:
f= -4(-3)+1
Find the slope of the line shown below.
Answers
Answer:
slope is -2
Step-by-step explanation:
trust me :)
Answer: The slope would be -2
slope intercept form of points (0,4) and (1,3
Answers
Answer:
y = -x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-3)/(0-1)
= 1 /-1
= -1
The y intercept is (0,4) or 4
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -x+4
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answers
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
1/4 of 7 and 1/3 of 7
Answers
Answer:
1/4 of 17 =4.25 in decimal form
1/3 of 7 = 2.3333 in decimal form
Step-by-step explanation:
I hope I helped
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answers
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
what is the distance between (-6-4) and (-5,-4)
Answers
Step-by-step explanation:
take as if this points are on a line segment AB
Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2
= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2
= square root of (-1)^2 + (0)^2
= square root of 1 + 0
= square root of 1
= 1 units
The distance from AB is 1 unit
what do you call the 9 in the statement 30% of 9 is 3
Answers
Answer: You call the 9 a base.
Step-by-step explanation: 3 is the percentage or part of the whole or base.
Answer:
9 is the base of the statement.
Step-by-step explanation:
Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.
Mr. Jennings is shopping for a car loan. He wants to buy a car that costs $18,000. He plans to pay $5,000 in cash and get a loan for the rest. If the annual interest rate on the loan is 5%, how much interest will he pay in the first year?
Answers
Answer:
$650
Step-by-step explanation:
Interest = amount of the loan x interest rate x time
Amount of the loan = price of the car - cash payment
$18,000 - $5,000 = $13,000
interest rate = 5%
time = 1 year
$13,000 x 0.05 x 1 = $650
Plz Help I will give Brainliest
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 8.6 Ft^2
Explanation:
First find the area of the WHOLE square in FEET
2.5 x 4.5 = 11.25 ft
Then we need to find the area of the circle
r = radius
The formula is A = 3.14r^2
The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.
A = 3.14(.9166^2
A = 2.64 Ft
Now we need to find the new total area
11.25 - 2.64 = 8.61 in ^2
Now we need to convert it to the nearest tenth of a square foot
8.6 Ft^2
I hope this helped !
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answers
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
Which expression is equivalent to 3x+2
Answers
Answer:
(3 x X) + 2
Can be a possible way if you factor it out I think.
Jennifer invests $8,353 in a retirement account with a fixed annual interest rate of8% compounded 4 times per year. What will the account balance be after 15 years?
Answers
Answer:
Amount after 15 years = $27,406.45 (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $8,353
Rate r = 8% = 0.08/4 = 0.02 per year (4 times)
Number of interest compounded n = 15 year x 4 = 60 times
Find:
Amount after 15 years
Computation:
A = p[1+r]ⁿ
Amount after 15 years = 8,353[1+0.02]⁶⁰
Amount after 15 years = 8,353[1.02]⁶⁰
Amount after 15 years = $27,406.45 (Approx.)
A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car
Answers
Answer:
45 3/10 mph
Step-by-step explanation:
30 1/5 /2 = 15 1/10
15 1/10 x 3 = 45 3/10 mph
2x - 4 = -8 what is the value of x?
Answers
Answer:
x = -2
Step-by-step explanation:
2x = -8+4
2x = -4
x = -2
CHECK
-4 - 4 = -8
Jane has 3 ¾ cups of yogurt that she wants to split into smaller containers. Each container can hold ¾ cup of yogurt.
Answers
Answer:
5 containers
Step-by-step explanation:
Converting to a decimal can make questions like this easier to solve.
3 3/4 = 3.75
3/4= .75
3.75 cups divided by .75 cup containers results in 5 containers needed.
plea help I will give brainiest
Answers
Answer:b
Step-by-step explanation:
l x w x h
Line n and points A through E are shown in the coordinate plane below.
5
a
D
A
с
E
5
Ayako claims that there are centers of dilations through which a dilation of line n by a factor of 1.5 leaves
Line n unchanged. Determine whether each point below represents a center of dilation that supports
Ayako's claim. Select Yes or No for each point.
Yes No
Point AOC
Point BOO
Point COO
Point DOO
Point EOC
Answers
Answer:
The points that represent a center of dilation that supports Ayako's claim are;
Point A; Yes
Point D; Yes
Step-by-step explanation:
When the figure being dilated has a segment or side that rests on the center of dilation, the corresponding side or segment of the image of the preimage of the figure will both be located on the same line
Therefore, given that the line 'n' is infinite, the centers of dilation through which a dilation of the line 'n' will form an image that will be on the same line as line 'n' are centers of dilation located on line 'n', which are;
Point A and Point D
La suma de dos números enteros que tienen signos diferentes es:
Answers
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
Find the Area:
16 m
.
12 m
Answers
3.14 x 8^2 = 200.96 (divided by) 2 = 100.48
1/2 (8 x 12) = 48 x 2 = 96
100.48 + 96 = 196.48
A = 196.48
Please Help Me Answer:
-6n - 5 = 31
Answers
Answer:
n = - 6
Step-by-step explanation:
Given
- 6n - 5 = 31 ( add 5 to both sides )
- 6n = 36 ( divide both sides by - 6 )
n = - 6
Answer:
n= -6
Step-by-step explanation:
-6n=31+5
-6n=36
n=36÷-6
n= -6
Please help me solve this
Answers
Answer:
x=61
2x+3 = 125
x-6 = 55
Step-by-step explanation:
The two angles shown form a straight line so they add to 180
2x+3 + x-6 = 180
Combine line terms
3x-3 =180
Add 3 to each side
3x-3+3 =180+3
3x=183
Divide each side by 3
3x/3 =183/3
x =61
The angle on the left is 2x+3
2x+3 = 2*61+3 = 122+3 = 125
The angle on the right is x-6 = 61-6 = 55
A bill for the repair of a laptop was $249. The cost of the parts was $84, and the labor charge was $55 per hour. How many hours did it take to repair the laptop?
Answers
Explanation
249 total - 84 already paid (for parts) is
165.
165
divided by
55 dollars an hour
is
3 hours worked on repairing.
What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.
Answers
Answer:
1
Step-by-step explanation:
As we know that addition and subtraction are inverse operations, as are multiplication and division.
The given equation is c+3=4
To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3
This is also called transposing and the sign of the transposed value changes.
Hence, c = 4-3 = 1
which is the equation of a hyperbola centered at the origin with focus ( 0,4) and vertex (0,sqaure root 12)
Answers
Answer:
the equation of the hyperbola is y^2/12-x^2/4=1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The ans above is A
A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve to find out how many hours it took for the bus to arrive at its destination
Answers
Answer:747
Step-by-step explanation: