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Explanation:
The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.
Those angles add to the other angles to form a full 360 degree circle.
Let x be the measure of angle SPT and angle TPU.
86 + 154 + 60 + x + x = 360
300 + 2x = 360
2x = 360-300
2x = 60
x = 60/2
x = 30
Each red angle is 30 degrees.
Then,
angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)
angle SPQ = (30) + (30) + (86)
angle SPQ = 146 degrees
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Another approach:
Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:
360 - 214 = 146 degrees
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Answer:
what?
Step-by-step explanation:
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Which points define the solution set of this linear-quadratic system of equations?
A. Point A & B
B. Point D & F
C. Point C & E
D. Point B & D
Answer:
point D y F ese el la respuesta
A 36 ounce box of cereal costs $3.50. Find the unit price.
$0.0972
I think.
Um this is to make it long enough to post. lol
Answer:
Approximately $0.10 per ounce
Step-by-step explanation:
Hi! :) I'm assuming this problem is asking for the price per ounce? If not, I apologize.
So, in order to determine the price of cereal per ounce we would simply divide $3.50 by 36 to find the cost per ounce.
$3.50 / 36 = approximately $0.09722222 which we can round up to $0.10.
Hope this helps!
Please help I need it for today
Step-by-step explanation:
Disculpe pero de qué grado es usted para ayudarle un poquito más mejor
The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it
Answer:
35.7%
Step-by-step explanation:
The change is 45 dollars. (120-75)
The percent of change is the dollars divided by the original price.
45/120=0.357
Or 35.7%
Answer:
35.7
Step-by-step explanation:
A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.
The amount of juice left in the bottle after pouring out
(i) p ml.
(ii) q glasses each containing r ml
Answer:
1. 500-p
2. qr=500
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex] [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.
Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]
So,
Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
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Evaluating 1/4 check all that apply the base is 1/4 the expanded form is 1/4 1/4 1/4 the expanded form is 1x1x1x1/4 1/4 2 = 1/4 1/4 3 = 1/64
Answer:
[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]
Step-by-step explanation:
Given
[tex](\frac{1}{4})^3[/tex]
Required: Evaluate
The options are not clear. So, I'll answer without considering the options:
[tex](\frac{1}{4})^3[/tex]
Apply law of indices:
[tex](\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})[/tex]
Remove brackets
[tex](\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}[/tex]
Combine
[tex](\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}[/tex]
[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]
Answer988
Step-by-step explanation:
The baker at weis supermarket will cut 5 indeticial loaves of bread into pices that are 1/3 . After he cuts the 5 loaves how many pices will the baker have
Answer:
15 pieces
Step-by-step explanation:
we see if we get 3 pieces from one bread then 5 will be 15
hope it helps you
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On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
Answer:
Step-by-step explanation:
The distance between 2 cities is 175 miles
What is scale on graph?
A scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.
Given data ,
The distance between Louisville and Nashville = 1 3/4 inches
Scale of the map = 1 in : 100 miles
Now , 1 inch = 100 miles on the map
And , 1 3/4 = 7 / 4 inches
So , 7 / 4 inches = ( 7 / 4 ) x 100 miles
= 1.75 x 100 miles
= 175 miles
Hence , the distance between 2 cities is 175 miles
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The upper-left coordinates on a rectangle are (- 8, 8) and the upper-right coordinates are (- 3, 8) The rectangle has an area of 15 square units
Answer:
See attachment for diagram
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,8)[/tex]
[tex](x_2,y_2) = (-3,8)[/tex]
[tex]Area = 15[/tex]
Required
Draw the rectangle on a coordinate plane --- (missing from the question)
First, we calculate the distance between the given pairs.
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1-y_2)^2}[/tex]
[tex]D = \sqrt{(-8-(-3))^2 + (8-8)^2}[/tex]
[tex]D = \sqrt{25}[/tex]
[tex]D = 5[/tex]
So, the distance between the given pairs is 5 units... Let this be the length of the rectangle.
Using:
[tex]Area = Length * Width[/tex]
[tex]15 = 5 * Width[/tex]
[tex]Width = \frac{15}{5}[/tex]
[tex]Width = 3[/tex]
The width is 3 units.
This implies that the opposite sides of the rectangle are either 3 units down or 3 units up the given pairs.
Assume they are 3 units up.
[tex](x_1,y_1) = (-8,8)[/tex] and [tex](x_2,y_2) = (-3,8)[/tex]
[tex](x_3,y_3) = (x_1,y_3 + 3) = (-8,8+3) = (-8,11)[/tex]
[tex](x_4,y_4) = (x_2,y_2 + 3) = (-3,8+3) = (-3,11)[/tex]
Help.Find the length of y
find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y = 1/4x + 5
Answer:
The slope will be y= -1/4x+2
Step-by-step explanation:
Hope this Helped
Sam surveyed his classmates to find out if they played a sport after school or practiced in the
school band
- 14 of his classmates played a sport
- of those 14 who played, 5 participated in the school band
- 8 students played in the school band, and out of those 8, 3 did not play sports
- there were 10 students who did not play a sport nor participate in the school band
Create a two way table to represent the data and answer the following questions
Answer:Sam surveyed his classmates to find out if they played a sport after school or practiced in the
school band
- 14 of his classmates played a sport
- of those 14 who played, 5 participated in the school band
- 8 students played in the school band, and out of those 8, 3 did not play sports
- there were 10 students who did not play a sport nor participate in the school band
Create a two way table to represent the data and answer the following questions
Step-by-step explanation:
Here is a two-way table that represents the given data:
Look at the pic
To create this table, we first divided the students into two categories: those who play a sport and those who do not. Then, we further divided each category into those who play in the school band and those who do not.
From the table, we can answer the following questions:
How many students did Sam survey in total?
To find the total number of students surveyed, we can add up the values in the table:
14 + 5 + 3 + 9 + 10 = 41
Therefore, Sam surveyed a total of 41 students.
How many students played a sport but did not participate in the school band?
From the table, we can see that 14 students played a sport, and 5 of those also participated in the school band. Therefore, the number of students who played a sport but did not participate in the school band is:
14 - 5 = 9
So, 9 students played a sport but did not participate in the school band.
How many students did not play a sport but participated in the school band?
From the table, we can see that 8 students played in the school band, and 3 of those did not play a sport. Therefore, the number of students who did not play a sport but participated in the school band is:
8 - 3 = 5
So, 5 students did not play a sport but participated in the school band.
Hope this helps <3
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Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 15 years?
Answer: 960
Step-by-step explanation:
42 out of 100
how do u do this question?
*EXTRA PTS* find the value
5(x + 8) + x + y, given that x = 3 and y = 30
Answer:88
Step-by-step explanation:
Given, x=3 & y=30
So, 5(3+8)+3+30 = 5(11)+3+30 = 88
Answer: 88
Step-by-step explanation:
5(3+8)+3+30
5 x 11 + 33
55+33
=88
Help me please answer thanks
What is an
equation of the line that passes through the points (0, -2)
and (6, 6)?
Answer:
8/6x+2................
Answer: y=(4/3)x-2
Step-by-step explanation:
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
x1=0, x2=6
y1=-2, y2=6
(y-(-2))/(x-0)=(6-(-2))/(6-0)
(y+2)/(x)=(6+2)/6
(y+2)/(x)=8/6=4/3
Cross multiply
3(y+2)=4x
y+2=(4/3)x
y=(4/3)x-2
A woman is standing 12 feet from a sculpture. The angle of elevation from her eyes to the top of the sculpture is 35º. If the woman's eyes are 5 feet 6 inches off the ground, how tall is the sculpture? Round answer to the nearest thousandth of a foot.
Answer:
13.903 feet
Step-by-step explanation:
Let the height from the woman's eyes to the top of the sculpture be represented by x.
So that,
Tan 35 = [tex]\frac{x}{12}[/tex]
x = Tan 35 x 12
= 0.70021 x 12
= 8.4025
x = 8.403 feet
The height of the sculpture = The woman's eye level to the ground + x
= 5 feet 6 inches + 8.403 feet
= 5.50 feet + 8.403 feet
= 13.903 feet
Thus, the sculpture has a height of 13.903 feet.
Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.
Answer: 48 sections
Step-by-step explanation:
Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.
The number of sections she will have if she does so is:
= Total length of fabric / Length of sections
= 12 ÷ 1/4
= 12 * 4/1
= 48 sections
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
what factored pair has a product of -24 and a sum of 2?
It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile
PLEASE HELP, I DON'T UNDERSTAND THE WORDING
Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
= [tex]\frac{1}{\frac{1}{8} }[/tex]
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
work out the value of x
Is (4, 20, 100,...)geometric
Answer:
500,2500
Step-by-step explanation:
multiply by five
Step-by-step explanation:
yes if u multiple 4x5=20 20x5=100
Solve for G
6G = -72
(show your work)
Answer:
-12
Step-by-step explanation:
6G = -72
G = -72 / 6
G = -12
Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!
Atbilde:
Anna = 14
Vita = 14 + 8 = 22
Uldis = 14 + 10 = 24
Soli pa solim:
Latvietis
Anna = x
Vita = x + 8
Uldis = x + 10
Kopā = 60
x + x + 8 + x + 10 = 60
3x + 18 = 60
3x = 60 - 18
3x = 42
x = 42/3
x = 14
Anna = 14
Vita = 14 + 8 = 22
Uldis = 14 + 10 = 24
An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
9514 1404 393
Answer:
t + c ≤ 25
Step-by-step explanation:
"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.
The shipping constraint can be written as ...
t + c ≤ 25
Please help me id you want BRIANLEIST!!! :)) ty!!!
Answer:
5/3
Step-by-step explanation:
4 × x = (6×3+2)/3
---> 4x = 20/3
----> x = 20/12
----> x=5/3
Hope it helps
Answer:
5/3
Step-by-step explanation: