Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.
Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.
What is the value of x?
5
10
20
25
Given:
In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].
To find:
The value of x.
Solution:
In a parallelogram, the consecutive interior angles are supplementary angles.
In parallelogram PQRS,
[tex]m\angle Q+m\angle R=180^\circ[/tex] (Supplementary angles)
[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]
[tex](20+8x)^\circ=180^\circ[/tex]
[tex]20+8x=180[/tex]
Subtracting 20 from both sides, we get
[tex]8x=180-20[/tex]
[tex]8x=160[/tex]
Divide both sides by 8.
[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]
[tex]x=20[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
How to solve it and explain it
Answer:
2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
let the third side ( hypotenuse ) be x , then
x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Plz help meee <3 kitty’s
Answer:
linear means a line (that eliminates c and d)
as "X" increases the "Y" value "DECREASES" so the answer is "B"
Step-by-step explanation:
Answer:
B. Linear decreasing
Step-by-step explanation:
The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.
hope this helped. :)
The equation |x-3| = 4 has what solutions?
Answer:
x-3=4
x=4+3
X=7
or
x-3=-4
x=-4+3
x=-1
-1 and 7
Step-by-step explanation:
Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.
So within the notation, we have two possibilities to the solution, a positive and negative value.
In other words, |4| = 4 and |-4| = 4
Hence, we only need to substitute x with an appropriate integer to satisfy the answer.
|x - 3| = 4
substitute x = 7
|7 - 3| = 4
|4| = 4
substitute x = -1
|-1 - 3| = 4
|-4| = 4
Therefore the solutions to x is x = 7 and x = -1.
Find the area of the shape.
Answer:
Step-by-step explanation:
4. What is the unit rate for a pound of seed? Circle the correct answer choice.
Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25
===================================================
Explanation:
To get the unit cost, we divide the total cost over the number of pounds.
We can do this for any row
row one: ($17.50)/(10) = $1.75row two: ($35.00)/(20) = $1.75row three: ($52.50)/(30) = $1.75row four: ($70.00)/(40) = $1.75You don't need to show all four row calculations. You can simply pick one row.
This tells us that each pound costs $1.75
Put another way: the price is $1.75 per pound
For a car to qualify as a High Occupancy Vehicle (HOV), it must have at least _____ people.
A.
4
B.
2
C.
varies
D.
3
Answer: i would like to sad it varies
Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies
What’s the surface area and the formula for it?
Answer:
[tex]1440cm^{2}[/tex]
Step-by-step explanation:
SA=2lw+2lh+2wh - Formula
SA=2(12×20)+2(12×15)+2(20×15)
SA=(2×240)+(2×180)+(2×300)
SA=480+360+600
SA=1440
Hello help me with these ones pls
Answer:
(-1,3)
Step-by-step explanation:
Solve for x in the first equation
3x = 6 - 3y
9x - 5y= -24
Replace all occurrences of x with 2 - y in each equation
9(2 - y) - 5y = -24
x = 2 - y
Simplify the left side
18 - 4y = -24
x = 2 - y
Solve for y in the first equation
-14y = -42
x = 2 - y
y=3
x = 2- y
Replace all occurrences of y with 3 in each equation
x=-1
y=3
(-1,3)
Hope this helps!
Please give brainliest :)
If you need more help with these types of equations reach out to me!
Simplifying
3x + 6 = 9x + -24
Reorder the terms:
6 + 3x = 9x + -24
Reorder the terms:
6 + 3x = -24 + 9x
Solving
6 + 3x = -24 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
6 + 3x + -9x = -24 + 9x + -9x
Combine like terms: 3x + -9x = -6x
6 + -6x = -24 + 9x + -9x
Combine like terms: 9x + -9x = 0
6 + -6x = -24 + 0
6 + -6x = -24
Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6
Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6
Combine like terms: -24 + -6 = -30
-6x = -30
Divide each side by '-6'.
x = 5
Simplifying
x = 5
Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).
Answer:
I think the answer is The x-intercept of the boundary line is (-3/2,0).
Step-by-step explanation:
the x-intercept of boundary line is (-3,0)
Step-by-step explanation:
hope it helps thanks❤
Need help really badly please help .
Answer:
sin s = 36 / 42 = 18 / 21 = 6/ 7
sin R = 14 / 42 = 7 / 21 = 1 / 3
cos s = 14 / 42 = 1 / 3
cos R = 36 / 42 = 6 / 7
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?
Answer:
61.6 dollars
Step-by-step explanation:
So, lets go over what we know:
The shows orginally cost 88 dollars.
They are 30% less than that.
This basically means that the shoes will cost 70 percent of their orginal price.
We can basically find the new cost by multiplying the 88 dollars by the 70 percent.
Or, multiplying 88 by 0.7, which is the decimal form of 70%.
88*0.7=61.6
How did I get this?
Multiply 80 by 0.7:
7*8=56
We have 0.7 so it = 5.6
However, it's tens place is 80, not 8, so it will be = 56
It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8
= 5.6
56+5.6=61.6
So 61.6 is our answer.
Hope this helps!
Answer:
$61.60
Step-by-step explanation:
the other answer is correct.
just to add some explanation about the % considerations.
we know $88 is 100%
in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).
so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.
70% = (100% / 100) × 70 = 100% × 70 / 100
70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)
70% = 100% × 0.7
70% = $88 × 0.7 = $61.60
?
A sprinter travels a distance of 100 m in a time of 9.67 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answer:
average speed of sprinter will be 10.42m/s
Step-by-step explanation:
distance covered=s=100m
time taken=t=9.67m/s
average speed=10.42m/s
A number line is shown below. The
numbers 0 and 1 are marked on the line, as are two
other numbers a and b.
Which of the following numbers is negative? Choose
all that apply.
a-b
ab
-b
ab + 1
Answer:
-b
Step-by-step explanation:
1 is b and a negative sign shows that the number is a negative in -b there is a negative sign and b = 1 so this -b shows the number -1
a classrom contains 25 children ,out of which 6 are girls.What percent are boys?
Answer:
76%
Step-by-step explanation:
Number of students=25
Number of girls=6
Number of boys=25-6=19
% of boys=number of boys/number of students x 100
=19/25x100
=19x4=76%
Use any method you like to find the measure of angle A
what is the simplist form of 240/1000
Divide by 100 to reduce it to 24/100
Now divide by 4 to get 6/25
The simplest form is 6/25
can somebody help me with this question
Answer:
90 Calories
Step-by-step explanation:
100 g Food contain 300 calories
so,
1 g food contain 3 calories
so 30 gm food = 30 × 3 = 90 calories
hope this helps....
Answer:
A. 90
Step-by-step explanation:
In order to solve this, we first have to write an equation based on the question. In our case, the equation is...
[tex]100g = 300cal[/tex]
(we know that in 100 grams of some food there are 300 calories)
Now we just have to find out how many calories are there in 30 grams of the same food. We do it in the following way...
[tex]100g = 300cal\\100g/3\frac{1}{3} = 300cal/3\frac{1}{3}\\\\30g = 90cal[/tex]
Therefore, there are 90 calories in 30 grams of this food.
A used automobile dealership recently reduced the price of a used compact car by %. If the price of the car before discount was $, find the discount and the new price.
Answer:
$1674
$16926
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?
Discount = percentage discount x original price
0.09 x $18,600 = $1674
New price = original price - discount
$18,600 - $1674 = $16926
Solve 12x + 5 = 4x + 37
Step-by-step explanation:
12x-4x=37-5
8x=32
x=32/8
x=4
Divide 4000 into two parts such that 15% of the first part equals 25% of the second part.
Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...
Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!
Laura made 3 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 3 necklaces was $21.30. If the beads cost $3.90 for each necklace, how much did each pendant cost?
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
1 Quart = _________fl oz
Answer:
32
Step-by-step explanation:
a quart is four cups 8,16,24,32 so 32
Answer: 1 Quart is equal to 32 fluid ounces (oz).
Step-by-step explanation:
Determine the value of x.
A right triangle has 2 sides with a length of 6 centimeters. The length of the hypotenuse is x centimeters.
Answer:
6^2 + 6^2 = 72 sqrt(72) = 8.49
Step-by-step explanation:
use pythagorean therom a^2 + b^2 = c^2
where c is the hyp.
Answer: 6 sqrt 2
Step-by-step explanation:
The radius is of a circle is 7 kilometers what is the area of a sector bounded by a 180 arc
Answer:
77 square units
Step-by-step explanation:
Taking π as 22/7
=>(180/360)×(22/7)×(7)^2
=>1/2×22×7
=>11×7
=>77
What 2 numbers add to get -9 and multiply to get -30?
Answer:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
Step-by-step explanation:
Let be x the first number and y the second number.
So we have:
[tex]x+y=-9[/tex] (1)
[tex]x*y=-30[/tex] (2)
Solve x from equation 1 and put it into equation 2
[tex]x=-9-y[/tex]
[tex](-9-y)*y=-30[/tex]
[tex]-9y-y^{2}=-30[/tex]
[tex]y^{2}+9y-30=0[/tex]
Solving this quadratic equation and put it on the equation (1) the solutions will be:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
I hope it helps you!
Công ty A&T có thông tin về hàng tồn kho năm 20X0 như sau: - Giá trị hàng tồn kho: 6.000 triệu đồng (loại 1 là 2.000 triệu đồng, loại 2 là 4.000 triệu đồng). Hai loại hàng tồn kho này không cùng bản chất. Số lượng hàng tồn kho loại 1 dùng cho các hợp đồng bản hàng đã ký lớn hơn số lượng hàng tồn kho loại 1 hiện tại. -Cuối kỳ kế toán công ty đánh giá lại hàng tồn kho với các thông tin đáng tin cậy như sau: + giá bán ước tính của hàng tồn kho loại 1 là 2.000 triệu đồng, loại 2 là 4.300 triệu đồng + chi phi bán hàng, ước tính của loại 1 là 40 triệu đồng, loại 2 là 30 triệu đồng. Yêu cầu: Công ty A ghi nhận các nội dung kinh tế trên như thế nào theo chuẩn mực báo cáo tài chính quốc tế giá trị hàng tồn kho, giá trị thuần có thể thực hiện được hoặc dự phòng)?
Please help me out I don't remember how to do this
Answer:
D)
Step-by-step explanation:
0.04, 0.40, 4.04, 40.04