Answers
Answer/Step-by-step explanation:
1. x = 130 ° (corresponding angles theorem)
y = x (vertical angles theorem)
y = 130 (substitution)
Or
y = 130° (alternate exterior angle theorem)
2. x = 65° (corresponding angles theorem)
y = 180 - 65 (linear pair theorem)
y = 115°
3. x = 180 - 80 (linear pair theorem)
x = 100°
y = 80° (alternate exterior angle theorem)
Related Questions
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=52°, and GH = 5.7 feet. Find the length of FG to the nearest tenth of a foot.
Answers
Answer:
FG = 9.3 feet
Step-by-step explanation:
cos 52° = 5.7/FG
0.6157 = 5.7/FG
FG = 9.26 feet
0.6x + 2.7 = 0.9x
"solve the equation. show all your steps"
Answers
Answer:
x=9
Step-by-step explanation:
0.6x+2.7=0.9x
move the terms
0.6x-0.9x=-2.7
collect like terms
-0.3x=-2.7
divide both sides
x=9
PLS HELP ME ASAP! The height and width of a rectangular prism are 26 yards and 24 yards respectively. Find the length of the
rectangular prism whose volume is 18,720 cubic yards.
Answers
Answer:
The length is 30 cubic yards.
Step-by-step explanation:
To find volume you use equation V=LxWxH
Since we already know the height, width, and volume we can input them into the equation.
18,720=L x 24 x 26
As you can see, the length is still unknown.
To figure it out though, you can multiply the height and width of the prism,
24 x 26 = 624
And then divide the volume, 18,720 by it.
18,720/624 = 30
Thus, your length is 30 cubic yards.
A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?
Answers
Answer:
2 + i and + √5
Step-by-step explanation:
Since P(x) is a quartic equation, it has 4 roots.
Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.
So, its other two roots are 2 + i and + √5
An artist sold 10 paintings. Her first two sold for $50 and $350. She sold three at a gallery show for $250, $400 and $1,200. She sold her oil paintings on line for $410, $400 and $375. Family members bought two, one for $200 and another for $280. What is the IQR of the selling price of her paintings?
Answers
Answer:
250-400
Step-by-step explanation:
Answer:
150Step-by-step explanation:
There are 10 numbers representing the selling prices of paintings.
List the numbers in the ascending order:
50, 200, 250, 280, 350, 375, 400, 400, 410, 1200Median of the lower half is:
50, 200, 250, 280, 350 ⇒ Q1 = 250Median of the upper half is:
375, 400, 400, 410, 1200 ⇒ Q3 = 400The IQR is the difference between the upper and lower medians:
IQR = Q3 - Q1 = 400 - 250 = 1501:
What is the area of the right triangle in this coordinate plane?
2
3
5
6
8
9
A
Answers
Height = 10-2 = 8 units
Area
= 4 x 8 x 1/2
= 32 x 1/2
= 16 square units
For what value of x is the rational expression below equal to zero?
(x+5)(x - 1)
A. 4
ОО
B. 1
C. -5
d
D. -4
SUBMIT
Answers
Answer:
I can only guess that by x^2-2x-24 you mean the entire denominator. In cases like this is is important to use parentheses to remove any doubts. For example:
(x+8) / (x^2-2x-24).
This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.
x^2-2x-24 factors into (x+4)(x-6). The roots are -4 and +6.
Thus, the given expression is undefined at {-4,6} (set notation).
Step-by-step explanation:
Which value of x makes the equation 1.25(4x − 10) = 7.5 true?
A. 3.5
B. -1
C. -0.5
D. 4
The awnser is x =4 or just 4
D=4
Answers
Answer:
x=4
Step-by-step explanation:
8 thuusond divided by what number equal to 8 tens
Answers
Answer:
divided by 100
Step-by-step explanation:
8,000 / 100 = 8 in the tens, or 80
. Solve for x
10 = 5(x + 8)
Answers
x= -6
____________
Answer:
x = -6
Step-by-step explanation:
10 = 5(x+8)
=> 5(x+8) = 10
=> 5x + 40 = 10
=> 5x = 10 - 40
=> 5x = -30
=> x = -30/5
=> x = -6
Help I beg please show work
A 3
B 94
C 1
D 47
Answers
Answer:
Step-by-step explanation:
15x+2=9x+20
6x=18
x=3
if it's asking for the angle measure, you will just do:
15*3+2=47
I need help on both
Answers
You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store, how many would be children?
Answers
Answer:
20 kids
Step-by-step explanation:
so that totals to 11 (parents and kids)
55/11=5
4x5=20
20 kids
DEF is a triangle. GH and EF are straight lines. Find the measures of angles 1, 2, and 3
Answers
Answer:
1= 123°
2=123°
3= 57°
Step-by-step explanation:
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet:
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
Answers
Explanation is in the file
tinyurl.com/wpazsebu
(7) The volume of an ice cream cone is
113.04 cm3. If the radius is 3 cm, find the
height of the cone.
Answers
A square has a radius of 10 ft. Find the area of the square
Answers
Answer:
Hello hello
Step-by-step explanation:
Answer:
a square does not have a radius
Step-by-step explanation:
but you can find the area by squaring one side
HELP ME PLEASEEEEEEE ILL GIVE BRAINLIEST!!
Answers
Answer: 6π
Step-by-step explanation: First find circumference. radius is 4 so 4x2=8. 8π is circumference. You need to find 3/4 of circumference os 3/4x8π=6π
What is the solution to this system of equations?
10
8
6
2
y = x +4
y = -0.5x + 7
-2
2
4
6
A. (3, 1)
B. (2,6)
C. (1,3)
O
D. (6,2)
Answers
Answer:
option B is correct
Step-by-step explanation:
Hope it helps you
6. ऊँचाई 1 m वाले एक बेलनाकार बर्तन की धारिता 15.4 लीटर है। इसको बनाने के लिए
कितने वर्ग मीटर धातु की शीट की आवश्यकता होगी?
फा
Answers
A cylindrical vessel of height 1 m is 15.4 liters. To make it
How many square meters of metal sheet will be required?
I dont k, but I was translating for others who do know!
The rectangle shown has a perimeter of 148 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answers
Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
What is meant by the order of operations?
Answers
Answer:
Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
The circumference of a circle is 147 feet.
Find the area of the circle, in terms of pi.
Answers
Answer:
Step-by-step explanation:
C = 147 ft. The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.
The relevant area formula is A = (pi)r^2. If we solve the above formula for r we get
147 ft
r = ------------ and so r^2 (needed to calculate the area) is
2pi
147^2 ft^2
r^2 = ------------------
4(pi)
147^2 ft^2
and so the area is A = ---------------- = 7203/pi
3 pi
C C^2
Alternative method: C = 2pi*r so r = -------------- and r^2 = -------------
2 pi 4pi^2
C^2 C^2
then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------
4pi^2 4pi
(147 ft)^2
and in this case the area of the circle is A = --------------
4 pi
or A = 1720 ft^2
find the area of the semicircle (1/2 circle with a diameter of 10)
Answers
Answer:
39.25 unit²
Step-by-step explanation:
Radius of circle = diameter/2 = 10/2 = 5
Area of a circle = πr²
Area of ½ circle = ½ πr² = ½ x (22/7) x 5²
Area = 39.25 unit^2
The meterologist said the temperature was going to be 78 degrees
today. The thermomter reads 82 degrees. What is the percent error?
Answers
Answer:
5%
Step-by-step explanation:
hope this helps
I think I took the test. I'm not sure tho.
A washer and a dryer cost $745 combined. The washer costs $95 more than the dryer. What is the cost of the dryer?
Answers
Answer:
let cost of washer be x
cost of dryer be $745-x
we have
cost of washer =$95+($745-x)
x=$95+$745-x
x+x=$840
2x=$840
x=$840/2=$420
the cost of washer =$420
cost of drier=$745-x=$745-420=$325
$325 is the cost of dryer.
2) Dividing quantities in a given ratio
a) divide MVR 90 into two parts in the ratio 2:1.
Answers
Answer:
180:90
Step-by-step explanation:
response will be saved automatically.
Three students performed a science experiment using sugar and a beaker.
The beaker contained 570.3 grams of sugar before the experiment
started. During the experiment, each of the 3 students removed 42.34
grams of sugar from the beaker.
How much sugar, in grams, was left in the beaker at the end of the
experiment?
Show your work.
Answer
grams
B
T>
x
Answers
Answer:
443.28
Step-by-step explanation:
Subtract 42.24 from 570.3 three times.
Can you tell me how to solve for X
Answers
Answer:
answer is D)10
Step-by-step explanation:
there's a square in the corner, and that tells you this angle is a right angle which is 90degrees
so 90-60=3x
30=3x
x=10
Answer:
A. 30
x=30
Step-by-step explanation:
That is a 90 degree angle. 90-60=30
Find the volume of the cone-
Answers
Answer:
12.6ft³
Step-by-step explanation:
Hey There!
So the first thing we need to do is find the formula for volume of a cone
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
r = radius
h = hypotenuse
Now all we have to do is plug in the hypotenuse and the radius
[tex]V=\pi 2^{2} \frac{3}{3}[/tex]
2²=4
[tex]\frac{3}{3} =1[/tex]
4xπ=12.5663706144
And now we just round to the nearest tenth
so we can conclude that the volume of the cone is 12.6ft³