Answers
Answer:
x = 40
Step-by-step explanation:
Measure of an external angle of a circle = ½(difference of the intercepted arcs)
This means that:
½(PQ - RS) = m<T
m<T = x/2
PQ = (x + 70)°
RS = (x + 30)°
Plug in the values
½((x + 70) - (x + 30)) = x/2
½(x + 70 - x - 30) = x/2
½(x - x + 70 - 30) = x/2
½(0 + 40) = x/2
½(40) = x/2
20 = x/2
Multiply both sides by 2
20*2 = x
40 = x
x = 40
Related Questions
Please someone help me on this one !! I need to pass this class!
Answers
9514 1404 393
Answer:
x ≈ -0.5416
Step-by-step explanation:
As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...
multiply by 10add 7raise 9 to that powermultiply by 2add 5You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.
The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.
undo add 5
[tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]
undo multiply by 2
[tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]
undo raise to a power (take logarithms)
[tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]
undo add 7
[tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]
undo multiply by 10
[tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]
Answer:
x=0.5416...................
Find the area of the shaded polygons
Answers
Answer:
4 sq un
Step-by-step explanation:
-4--7=n cual es el valor de n
Answers
-4 - -7 = -11
Please help
fffffffffffffffffffffffffff
Answers
Answer:
Left side: 1/20 Right side: 11/20
:)
Yesterday, I ran 5 miles. Today I ran 8 miles. What happened to the percent?
Answers
Step-by-step explanation:
you ran 40% more than yesterday ?
Answer:
The percentage increases
help with math pretty easy will give 5 star and brainlyist
Answers
Answer:
area = 96 units²
Step-by-step explanation:
area = 16 x 12 x 0.5 = 96 units²
find the sum of all the even numbers between 70 and 80
Answers
On September 1, 2012, Ramos Inc. approved a plan to dispose of a segment of its
business. Ramos expected that the sale would occur on March 31, 2013, at an
estimated gain of $375,500. The segment had actual and estimated operating profits
(losses as follows):
Please prepare answers to the following questions. Assume a marginal tax rate of 35%
● Realized loss from 1/1/12 to 8/31/12 …….... $ 200,000
● Realized loss from 9/1/12 to 12/31/12 ……...$ 135,000
● Expected profit from 1/1/13 to 3/31/13. ….... $ 475,000
Calculate the amount of income that should be shown on the 2013 income statement
as a result of the operating profit and the gain on disposal (net of tax).
Answers
Always be happy
God bless yu and yur family❣️
HELP !!
Find x. Round to the nearest tenth.
27
26.2
Answers
Answer:
x= 14.0 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
in the basketball game rachael scored 6 points less than twice the number of points Trina scored. Trina scored 9 points how many points did rachael score
Answers
The magnitude of an earthquake is found by the equation M = 2/3 * log E/10^11.8 , where M is the magnitude and E is the energy released. Find the magnitude of an earthquake that released 10 ^ 21.6 ergs of energy
Answers
The answer is D. 6.5
Determine how many solutions the system has.
Answers
Can you pls pls help me
Answers
Answer:
I might what do you need help with?
Step-by-step explanation:
The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answers
Answer:
3 Hours
Step-by-step explanation:
$370 - 165 for Decorations
$205 - 100 for the band
They now have $105 left
$105 % $35 to see how many hours they can play.
3 Hours
370 - 165 = 205
205 ÷ 35 = 5.85
A tap fills an eighty litre tank in 5 minutes. What is the rate of flow of water with respect to
time, in litres per second?
Answers
Answer:
0.27 lt/s
Step-by-step explanation:
80 liters in 5 minutes
5 minutes are 300 seconds (5x60)
We know how many seconds we need to fill up the tank (300 seconds for 80 liters). Now we need to know how many liters we can fill up in 1 second, as the question requires "liters per second".
80 lt / 300 sec
X lt / 1 sec
80 x 1
---------- = X
300
X = 0.2666666...
X = 0.27 lt / s
The product of two numbers is 54 and their difference is 3. What are the two numbers?
Foter
Answers
Step-by-step explanation:
X+Y=53 HERE YOU GO I HOPE IT HELP
Find the measure of <2
Answers
Answer:
96
Step-by-step explanation:
Hello There!
The following figure shown is a parallelogram
If you didn't know opposite interior angles of a parallelogram are congruent
Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent
hence ∠2=96
a cylinder has a base diameter of 20 centimeters and a height of 14 centimeters what is the volume in cubic meters to the nearest tenths place
Answers
Which statements are true about a decagonal (10-sided) pyramid? Check all that apply.
It has one face that is a decagon.
It has two faces that are decagons.
It has 11 faces.
It has 20 edges.
It has 20 vertices.
Answers
Answer:
Step-by-step explanation:
The specifications of a decagonal pyramid would be the following
It has one face that is a decagon.
35 diagonals in the base.
10 isosceles triangles as faces above the base
11 vertices - 10 in the base and 1 at the top
20 edges - 10 in the base and 10 above the base
This can all be seen in the picture of the decagonal pyramid below. The only decagonal face is on the base of the pyramid as the top is a vertice where all of the triangles meet.
Answer:
~B,D,E~
Step-by-step explanation:
Just put a random answer I’ll mark you as brainliest
Answers
Answer:
okk thanks and hru
Step-by-step explanation:
Acellus
25°
У
X 120°
y=[ ?
Answers
Answer:
25. Rigorous Yet Adaptive – Making the College Dream a Reality . ... 120. What is the Acellus Courseware Development System? ... Acellus turns the learning process into a science, and by so doing, improves the overall effectiveness of the ...
Missing: У y
Step-by-step explanation:
Hope it helps
Answer , 95!!
Step-by-step explanation:
A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?
5
5.5
6
Answers
Answer:
5
Step-by-step explanation:
This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:
[tex]3^2 + 4^2 = c^2[/tex]
c = 5
Find the area of the shape shown below.
Answers
Answer:
29
Step-by-step explanation:
Answer:
42.5
Step-by-step explanation:
Cut this up and the rectangle at the top has an area of 9*3.5 = 31.5. The triangle in the bottom left corner has an area of 2, the square has an area of 4 and the bottom right triangle has an area of 5.
Add these values up to get 42.5
At the clothing store, the ratio of shirts to jeans is 3:2. There are 30 pairs of jeans. How many shirts are there?
Answers
Answer:
45 : 30
Step-by-step explanation:
30 / 2 = 15
3 * 15
= 45
= 45 : 30
Hope it helps
Please mark me as the brainliest
Thank you
Help pls what is the relationship between work hours and total money earned
Answers
Answer: the correct answer would be B
Step-by-step explanation:
The increase is by 11 dollars an hour so b is your answer.
HELP BRAINLY, I NEED HELP WITH THESE QUESTIONS!
(05.05 LC)
A right rectangular prism is shown.
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? (1 point)
Trapezoid
Parallelogram
Square
Rectangle
10.
(05.05 MC)
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)
3 square units
6 square units
7 square units
8 square units
11.
(05.05 MC)
Erin covered a box with contact paper. The dimensions of the box are shown in the figure below:
A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 9 inches and the width is labeled as 8 inches.
The contact paper costs 8¢ per square inch. She will only pay for the contact paper used to cover the box, even if there is waste or extra. How much money did Erin spend on the contact paper? (1 point)
$20.72
$41.44
$48.12
$73.14
Answers
Answer:
For the first one its parallelogram
Please help ASAP the question is in the picture and please explain why and how u got the answer
Answers
Answer:
12
Step-by-step explanation:
Since the entire line is 60 and MN is five times as long. Then I would say that you could just divide 60 by 1/5 or 0.2
since the length of the line is 60 you gots to fos and divide it my homie.
60/5=12 so thats means the length is 12
you got that my guy
(sorry if ur a girl)
Find the length of the side and perimeter of the square whose area is given
(a) 49 sq.m
Answers
Answer:
Length 7metres
Perimeter 28 metres
Step-by-step explanation:
Area of a square is L²
To get the length of one side is thus√L²
√49=7 metres
Perimeter will be length by 4
7×4=28 metres
Find the value of the ratio x ÷ y if the equation is 5x²-13xy+8y²
Answers
Answer:
x÷y=8/5 or 1÷1
Step-by-step explanation:
Please mark as brainliest
Please help ASAP the question is in the picture and please explain why and how u got the answer