Answer:114Step-
Step-by-step explanation:
Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!
What’s x…………………,::::
Answer:
25
Step-by-step explanation:
The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:
[tex](x+26)+(x+14)+(4x-10)=180[/tex]
We can then combine like terms:
[tex]6x+30=180[/tex]
We want to get 6x alone, so we can subtract 30 from both sides:
[tex]6x=150[/tex]
Then we want to get x alone, so we can divide both sides by 6:
[tex]x=25[/tex]
Now we know that x is 25.
F is directly proportional to a.
If F = 42 when a 7 find
a when F = 18
Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a
Answer:
a = 3
Step-by-step explanation:
Given that F is directly proportional to a, then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 42 when a = 7, thus
42 = 7k ( divide both sides by 7 )
6 = k
F = 6a ← equation of proportion
When F = 18, then
18 = 6a ( divide both sides by 6 )
3 = a
Please help asap! I on;y have 10 mins left!!!
Answer:
41 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
<3 + <4 = 90
<3 + 49 = 90
Subtract 49 from each side
<3 = 90-49
<3 =41
A concession stand at a baseball game sells 3 apples for $2.00. HHow can you find the cost for 10 Apples?
A. Solve the proportion 3/2 = x/10
B. Solve the proportion 2/3 = 10/x
C. Solve the proportion 3/2 = 10/x
D. Solve the proportion 3/x = 2/10
Answer:
c. 3/2=10/x
Step-by-step explanation:
in a proportion, you want the same category of values in the same position. For example, the number of apples goes on top in each of the fractions, and the cost goes on the bottom. then solve for x.
test question dont mind me
Answer: okay.
Step-by-step explanation:
Explain why the product of 4 x 500 has three Os, not just two Os.
Answer:
because 4 is being multiplied by 500 which has two zeros because it is a multiple of 100
Step-by-step explanation:
Answer:
Because when you multiply 500 by 4 you start with the first 0. 4x0 is 0, now you move on to the second 0. 4x0 is 0, so that one is 0 too. Now you multiply the 5. 5x4 is 20. You put the 20 first, followed by the two 0s, And you get 2,000.
Step-by-step explanation:
On Wednesday, a local hamburger shop sold a combined total of 339 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answer:
113
Step-by-step explanation:
c/b(cheeseburger)-2x
h/b(hamburgers)-x
2x+x=339
3x=339(divide both sides by 3)
x=113
Solve this equation. Enter your answer in the box.
–4(x – 26) = –200
Answer:
x = 76
Step-by-step explanation:
Distributive property:-4(x-26) = -4x + 104
Subtract 104 from both sides.-4x + 104 = -200
-4x = -304
Divide -4 from both sides.x = 76
The solution of the equation is x= 76.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation –4(x – 26) = –200
–4(x – 26) = –200
-4x + 104 = -200
-4x = -200-104
-4x = -304
x = 304/4
x= 76
Therefore, the solution of the equation is x= 76.
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What is the quotient of 8,688 ÷ 24?
Answer:
362
Step-by-step explanation:
please help me please
Answer:
4/5
Step-by-step explanation:
Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).
We can find the slope by 'subtracting' these points:
(6-2)/(5-0) =4/5
If you ever need to remember this trick, you can remember "rise over run".
I hope this solution helped you. Happy mathing!
Solve: sin(11pi/2 +x) =-1/2 for [pi, 2pi]
Answer:
Step-by-step explanation:
Given the expression sin(11pi/2 +x) =-1/2
Take the arcsin of both sides
sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)
11pi/2 + x = -30
x = -pi/6 - 11pi/2
Find the LCM
x = (-pi-33pi)/6
x = -34pi/6
x = -17pi/3
Since x is negative and sin is negative in the fourth quadrant
x = - 17pi/2
x = -1530⁰+1440⁰ (scaling down the angle)
x = -90
x = 360 - 90 (fourth quadrant)
x = 270⁰
x = 270pi/180
x = 27pi/18
x = 3pi/2
Hence x the solution of x is 3pi/2
Answer:
B, 5pi/3
Step-by-step explanation:
edge 2020
Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.
Answer: 32 degrees
Step-by-step explanation:
A garbage bin can hold 50 gallons of waste. Complete the table to show what percent of the bin would be filled for different amounts of waste. Will get brainliest if answers first and gets it right.
The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a garbage bin can hold 50 gallons of waste.
Waste (gal) = 5
Percentage = 5/50 ×100
= 10%
Waste (gal) = 30
Percentage = 30/50 ×100
= 60%
Waste (gal) = 45
Percentage = 45/50 ×100
= 90%
Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
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A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?
Answer:
Step-by-step explanation:
It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.
Larger
1.2 * 2.5 = 3
Smaller
1.2 / 2.5 = 0.48
Answer:
beef
Step-by-step explanation:
beef is the answer to everything
Is 3/4 less then or greater than 1 whole
Answer:
less
Step-by-step explanation:
3/4 = 0.75
1/4 = 0.25
0.25*3 = 0.75
or
3/4 = 75%
1/4 = 25%
0.25*3 = 75%
Answer:
Less
Step-by-step explanation:
Fractions are proportions written using division. They are not whole numbers.
Proper Fractions
3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.
This specific question asks about 3/4, which is 1/4 less than 1 whole.
This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²
Answer:
The answer is 24.78 m^2
Step-by-step explanation:
I did the test
The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for circumference of circle is 2πr
The area of circle is πr²
Area of large circle
Given:
circumference = 50.24 m
50.24 = 2 × 3.14 × r
r = 8 m
Therefore Area = 3.14 × 8²
= 200.96 m²
Area of small circle
Given circumference = 25.12 m
⇒ 25.12 = 2 × 3.14 × r
⇒ r = 4 m
Therefore Area = 3.14 × 4²
= 50.24 m²
Area of shaded path area = area of large circle - area of small circle
= 200.96 - 50.24
= 150.72 m²
Hence, the area of the walking path is 150.72 m²
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A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated rectangle?
Answer:1 is 60 and 2 is a k=2
Step-by-step explanation: correct me if I’m wrong
what is the slope-intercept form equation that represents the line?
Answer:
y=-1/2x+4
Step-by-step explanation:
HELP PLEASE
you dont need to explain anything
Answer:
yes
Step-by-step explanation:
also its a 45 degree angle
cuz 135-90+45
XD brainliest pls
How do I divide fraction or mixed numbers.
AnTo divide mixed numbers Change each mixed number to an improper fraction.
Multiply by the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Step-by-step explanation:
Answer:
If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.
let's give an example of how to divide fractions.
1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.
[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]
2. let's have another example:
[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]
What is -4/-2 simplified. Is it -2, or just 2?
Answer:
It's just 2
Step-by-step explanation:
When you divide a negative by a negative, it becomes positive
Solve angle X to 1 dp
Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )
Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?
Answer:
3/8=0.375
Step-by-step explanation:
There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.
ASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.
X=2
Step-by-step explanation:
4x=6
-4x.-4
x=2 so your answer Is x=2
Answer:
x = 3
Step-by-step explanation:
perimater
3 + 3 + 2x + 2x
6 + 4x
area
3(2x)
6x
substitute:
6x = 6 + 4x
-4x -4x
2x = 6
x = 3
Below.Does it matter the order in which the store applies the discount? In other words, is 70% off and then 20% off equal to 20% off and then 70% off? Give your answer and an explanation below. Make sure to show calculations to support your answer
Answer:
No it does not matter in which order the store applies the discount.
Step-by-step explanation:
Suppose we have the cost price = $ 100
Then 70 % off means 70% of 100= 70 $ discount
And the remaining $ 30 is again given a discount of 20 % . That would be 20 % of $ 30= $ 6 discount giving the discounted price of $ 24.
Now if we apply the discount of 20 % first that would give $ 80 discounted price and again applying 70 % to $ 80 would give $ 56 discount and a discounted price of $ 80 - $ 56= $ 24
Hence the order in which the discount is applied does not matter.
find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.
Answer:
19.42 ft
Step-by-step explanation:
Triangular part = 5+5 =10
Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42
Perimeter = 10+9.42 = 19.42ft
For semicircular
Outer perimeter
πr3.14(3)9.42Now
Total perimeter
5+5+9.4218.42ftGraph this line using the slope and y-intercept:
y=1/10x
4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes
Answer:
1 hour and 20 minutes
Step-by-step explanation:
If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.
Answer:
it takes 80 minutes
Step-by-step explanation:
Hope this helps
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth
Answer:
136.19
Step-by-step explanation:
V=πr2h
3=π·5.12·5
3≈136.18804in³