Given:
The two angles A and B are vertical angles.
The measure of ∠A is x and the measure of ∠B is 5x - 20.
We need to determine the measure of ∠A.
Value of x:
Since, the angles A and B are vertical angles and the vertical angles are always congruent.
Thus, we have;
[tex]\angle A=\angle B[/tex]
Substituting the values, we have;
[tex]x=5x-8 0[/tex]
[tex]0=4x-80[/tex]
Adding both sides of the equation by 80, we have;
[tex]80=4x[/tex]
[tex]20=x[/tex]
Thus, the value of x is 20.
Measure of ∠A:
The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.
Thus, we get;
[tex]\angle A=20^{\circ}[/tex]
Thus, the measure of ∠A is 20°
Can you help me with this question?
Answer:
42ft
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
So that little triangle section:
1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle Section:
Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you eliminate those two shapes, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is 3 which is the width of the rectangle.
Base 2 is the 6.
The height is the given 11 feet subtracted by the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
Answer:
Area=42 ft.²
Step-by-step explanation:
This is an area problem. But since there are multiple shapes (2 triangles and a rectangle) we have to split the shapes and work each one separately. First we will start on the far right, with the small triangle. This one is the easiest one since the line is already drawn to separate it from the rest of the shape.
Area of a triangle=1/2 bh
A=1/2(2x3)
A=1/2(6)
A=3
The next shape is the the rectangle in the middle. Looking at the first image, I've drawn a line across the bottom, we need to find the area of that new image, the width is 3 ft and the length is 11 ft.
Area of a rectangle=lw
A=(11x3)
A=33
Finally, we need to find the area of the last triangle. Looking at the second image, I've add the correct base and height, 4 and 3. So now we need to use the triangle formula and solve
Area of a triangle=1/2bh
A=1/2(4x3)
A=1/2(12)
A=6
Now we can add the three areas together and get the total area:
3+33+6=42 ft
I hope this helps:)
The circumference of a circle is 270.04 centimeters. What is the circle's diameter?
Use 3.14 for .
Answer:
86 cm
Step-by-step explanation:
Write thirty-four hundredths as a decimal
Answer: 0.34
Step-by-step explanation:
An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Answer:
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Step-by-step explanation:
please answer asap!!!
Answer:
x + a + 2
Step-by-step explanation:
g(a) = a² + 2a
g(x) - g(a) = x² + 2x - a² - 2a
= x² - a² + 2x - 2a
= (x - a)(x + a) + 2(x - a)
= (x - a)(x + a + 2)
[g(x) - g(a)] ÷ (x - a)
= x + a + 2
The box plot suggests that Olga served fewer than what number of aces during about 75% of tennis matches
Answer:
d) 10
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
Question
Find the volume of the cylinder. If necessary, round your answer to the nearest hundredth.
12 ft
10 ft
The volume of the cylinder is
If m
c is greater than mZE, then AB is
??
Answer:
yes.... i need da coordinatees
Step-by-step explanation:
Please help !!!!!
I need it asap
Which question do i solve?
Any help also explain how you got A B C or D pleaseeeee
Answer:
D. 6:40 AM
Step-by-step explanation:
The LCM of 12 and 9 is 36. Add this to the original time and you have your answer.
Find the circumference of a circle that has a diameter 56m
Answer:
the circumference= 175.92918860102841m
Step-by-step explanation:
Answer:
175.929
Step-by-step explanation:
Because to solve this you need to use this formula
Write down the formula for calculating the circumference of a circle; C = πd, where C = circumference, π = 3.14 and d = diameter.
Question 2: You want to donate 30% of the $400 earned at your yard sale to
charity. How much should you donate?
What is 10% of the total?
Your answer
What will 30% be?
Your answer
Answer:
10%= 40$ 30%=120$
Step-by-step explanation:
ok so u earn 400$ at a yard sale. you divide it by 100 400/100=4. ok so then you multiply four by 10=40 and that is 10% multiply it by 30 u get 120 or 30%
sorry for the bad spelling
To find out how much to donate, you need to understand what percentage means. 10% of $400 is $40 and since 30% is 3 times as much, you should donate $120.
Explanation:To solve this problem, you first need to understand what 10% of a quantity means. 10% of a quantity is simply that quantity divided by 10. If you want to donate 30% of the $400 earned at your yard sale to charity, you first need to find 10% of $400, which is $400 divided by 10. This gives you $40.
Since 30% is the same as three times 10%, you just need to multiply your answer for 10% by 3. Therefore, you should donate $40 times 3, which equals $120.
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a population of bacteria is growing at a rate of 20 per hour. if the population starts at 320, what is it an hour later?
a ) 360
b ) 350
c ) 372
d ) 384
Answer:
B.350
Step-by-step explanation:
let's hope it helps
30 POINTS!
Find the area of the shaded regions.
Answer:
84.82 or 27pi
Step-by-step explanation:
Area of a circle is A=pir^2
so the area of the whole circle would be 6^2pi
so area is 36pi but only 3/4 is shaded so
36pi*3/4=27pi
27*pi≈84.82
Answer:
84.78cm²
Step-by-step explanation:
Angle at the centre:
360 - 90 = 270
Area:
(270/360) × pi × r²
(3/4) × pi × 6²
27pi cm²
27(3.14) = 84.78 cm²
Which values are within the domain of the function?
Check all that apply.
X=-6
x= -4
x=-2
x = 0
x = 2
x = 4
Answer:
Step-by-step explanation:
The domain of a function simply encompasses the set of input values which satisfies a given function. Hence, the values within the domain of the function are ; - 6, - 4, - 2, 4
Since the domain marks the set of input values, then they could be described as the x - values which satisfies the condition on the graph. The line on the right covers x - values greater than 2. The line on the left covers x-values from -2 belowHence, the x-values in the option which satisfies the function are - 6, - 4, - 2, 4
Learn more : https://brainly.com/question/15696318
Find the combined volume of the cube and pyramid.
Answer:
d
Step-by-step explanation:
Simplify and then evaluate.
−12x+14x−6x, if x=129.
The simplified expression is _ , the value is _.
Answer:
The simplified expression is -4x and the value is -516
Step-by-step explanation:
−12x+14x−6x
Combine like terms
2x-6x
-4x
Let x =129
-4*129
-516
Find the measure of angle BCD in the following parallelogram. what's does BCD equal
Answer:
120 degrees
Step-by-step explanation:
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
<BCD = 2x = 2 * 60 = 120
Thus, the answer is 120 degrees.
Hope this helps!
BCD is equal to 120 degrees.
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
[tex]\angle BCD = 2x = 2 * 60 = 120[/tex]
Thus, the answer is 120 degrees.
Can 17 cm, 18 cm, and 35 cm form a triangle
Answer:
No.
Step-by-step explanation:
17+18 is not greater than 35.
17 + 18 = 35
so three sides of those lengths form a degenerate triangle, three collinear points. A degenerate triangle is not a triangle. The triangle inequality is not satisfied.
Answer: NO
Find the area of the shape.
180Answer:
Step-by-step explanation:
What is the name for the total area of the surface of a solid?
Answer:
the surface area
Step-by-step explanation:
the surface area refers to the area on the surface of each side added all together
Answer:
Surface-area.
Step-by-step explanation:
Surface-area. If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces).
Please help I will mark you as brainliest!
We can use the base formula: [tex]a_n=a_1+(n-1)d[/tex]
[tex]a_n[/tex] = nth term
[tex]a_1[/tex] = first term
[tex]n[/tex] = position of the term
[tex]d[/tex] = common difference
First, lets find the common difference of the sequence.
12 - 5 = 7
19 - 12 = 7
26 - 19 = 7
Second, find the variables we already know.
[tex]a_1[/tex] = 5
[tex]d[/tex] = 7
Put these values into the formula: [tex]a_n = 5+(n-1)7[/tex]
We can use this expression to solve for the fifth term.
[tex]a_5=5+(5-1)7\\a_5=5+(4)(7)\\a_5=5+28\\a_5=33[/tex]
Therefore, the answer is [tex]a_n = 5+(n-1)7[/tex]
Best of Luck!
Is
Δ
P
X
Y
≅
Δ
P
X
Z
Answer:
Yes!
Step-by-step explanation:
Round to the underlined place.
Answer:
the answer would be 8.38
Solve y∕5.6 = 12 for y.
Question 2 options:
A)
67.2
B)
2.14
C)
17.6
D)
6.4
Answer:
It is (A) y = 67.2
Hope this helped ya :)
In word form what is represented by 67z + 8.9 Less-than-or-equal-to–302?
Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two
It the answer
Answer:Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two
Step-by-step explanation:
The function y = 10 x + 190 represents the relationship of the given data where x represents fat, in grams, and y represents calories.
How many calories would there be in a snack with 35 grams of fat?
Answer:
540 calories
Step-by-step explanation:
We are trying to find y (calories), when x (fat) equals 35 grams.
So, we can substitute 35 in for x
y= 10x +190
y=10(35)+190
Multiply 10 and 35
y=350+190
Add 350 and 190
y=540
A snack with 35 grams of fat will have 540 calories
Simplify the expression.
18a + 12x − 12a + 15x
Answer: 6a+27x
Step-by-step explanation:
combine 18a and -12a
combine 12x and 15 x
thus the answer
Hope I helped!
Answer:
18a + 12x - 12a + 15x
combining like terms we get
6a + 27x
Now we can take common from them
3(2a + 9x)
Step-by-step explanation:
Ethan and Evan are twins. They each deposit $3,000 into separate bank
accounts. Ethan's account accrues interest at a rate of 8% annually. Evan's
account compounds interest at a rate of 8% annually. Which of these
accounts can be modeled by linear &/or exponential. Explain why?
Evan's account can be modeled by exponential growth because it compounds interest. Ethan's account can be modeled by linear growth because it accrues a fixed interest rate annually.
Explanation:The account that can be modeled by exponential growth is Evan's account because it compounds interest. Compound interest involves the exponential growth formula: A = P(1 + r/n)^(nt), where A is the final account balance, P is the principal (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, Evan's account compounds interest annually, so n=1.
Ethan's account, on the other hand, can be modeled by linear growth. Linear growth is represented by a straight line on a graph, and it involves a constant rate of increase over time. Ethan's account accrues interest at a fixed 8% annually, so the amount in the account increases by the same amount every year.
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Please help me
The question is in the picture ;(
Answer:
B. Printer B; 2 more pages per minute
Step-by-step explanation:
70/2 = 35 which is 2 more than 33