Answers
The values for x are:
question 15 ⇒x=8
question 16⇒x=19
question 17⇒x=14
Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.
Sum of Interior Angles of Regular PolygonThere is a formula that relates number of sides polygon with its sum of interior angles. See below.
S=(n-2)*180°
S=sum of interior angles of regular polygon.
n=number of sides of regular polygon.
Exercise 15First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,
S=(n-2)*180°
S=(4-2)*180°
S=2*180°=360°
Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.
Next step, sum of interior angles for finding x
[tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]
x=8
Exercise 16
First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,
S=(n-2)*180°
S=(6-2)*180°
S=4*180°=720°
Next step, sum of interior angles for finding x.
[tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]
x=19
Exercise 17
First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,
S=(n-2)*180°
S=(5-2)*180°
S=3*180°=540°
The image of the question shows the sides are congruent, consequently, the angles are equal.
Next step, sum of interior angles for finding x.
[tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]
x=14
Read more about sum of interior angles here:
https://brainly.com/question/1592456
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Step-by-step explanation:
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2,3,4 are correett
Step-by-step explanation:
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Answer:
2+2=4
Step-by-step explanation:
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Oyo
oxio
all real numbers
Answers
Answer:
All Real Numbers
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.
If that is the case, then that means that there is no restrictions on the y-values.
Therefore, our range is (-∞, ∞) or All Real Numbers.
What is the answer to 0.5x(y - z) in distributive Property?
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Rationalizing denominator of 2/√3
Answers
Answer: [tex]\frac{2\sqrt{3}} {3}[/tex]
Step-by-step explanation:
Multiply both the denominator and numerator by square root of 3 to rationalize the denominator.
Answer:
2√3/3
Step-by-step explanation:
we can simply multiply the fraction by (√3/√3) as √3*√3 = 3 --- a rational value;
2/√3 * √3*√3 = 2√3/3
Matt gets $0.10 every 2 days
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Answers
Answer:
$0.30
Step-by-step explanation:
2 days = $0.10
6 days = [tex]\frac{6}{2}[/tex] × $0.10
= $0.30
What is the inequality? Will give brainliest.
Answers
Answer:
-8
Step-by-step explanation:
Isaac applied the steps below to find the product of (4.2)(–5.4).
Step 1: (4.2)(–5.4) = (–5.4)(4.2)
Step 2: = (–5.4)(4) + (–5.4)(0.2)
Step 3: = (–21.6) + (–1.08)
Step 4: = –22.68
Which step shows where Isaac applied the distributive property?
Step 1
Step 2
Step 3
Step 4
Answers
This is because he distributed the terms in the first bracket with the terms in the second bracket
Find the percent increase. Round to the nearest percent.
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Answers
Answer:
139%
Step-by-step explanation:
divide 89 by 124 to get 1.393
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Answers
Answer: -8.041x10-6= -86.41
Step-by-step explanation:
Answer:
-0.000008041
Step-by-step explanation:
-8.041 * 10^-6
First, convert the negative exponent.
-8.041 * 1/10^6
Then, multiply. (Using a calculator, preferably.)
THe answer is: -0.000008041
Help me pleaseee on this plss
Answers
Answer:
a(n)= -4n-6
Step-by-step explanation:
If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.
A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later
Answers
Answer: 4 feet
Step-by-step explanation:
John and Sarah are playing golf. John ends the round with -5 and Sarah ends with +11.
What is the difference in their scores?
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
Usually, a question like this is answered by subtracting the smaller number from the larger:
11 -(-5) = 11 +5 = 16
The difference in their scores is 16 strokes.
Will give crown help
Answers
Answer:
n x 5
Step-by-step explanation:
The pattern is to multiply each number by 5 so multiplying n by 5 will get you the expression n x 5.
Hope that helps
A local movie theater sells two bag sizes of popcorn. Both bags are in the shape of a rectangular prism. Bag A measures 4" long, 3.5" wide and 6" tall. Bag B holds twice as much popcorn as Bag A. If Bag B is 8" long and 3" wide, how tall is Bag B?
Answers
Answer:
the height of bag b is 7
Step-by-step explanation:
first, find the volume of bag a.
volume formula:
length * width * height = volume
length = 4
width = 3.5
height = 6
substitute the values into the formula
4 * 3.5 * 6 = volume
84 = volume
the volume of bag A is 84
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length * width * height.
length = 8
width = 3
volume = 168 (84 * 2)
8 * 3 * h = 168
24h = 168
24h/24 = 168/24
h = 168/24
h = 7
the height of bag B is 7
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Answers
Answer:
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Step-by-step explanation:
55/200 = .275
Answer:
B is the right answer i guess
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Answers
Answer:
4
Step-by-step explanation:
Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.
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Answers
Answer:
22 inches is the answer
Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27
Answers
Answer:
x= -9
Step-by-step explanation:
-8-3x+8=27
-8+8=0
-3x=27
divide by -3 both sides
27÷-3= -9
x= -9
An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
Answers
Answer:
404.98 m
Step-by-step explanation:
The angle of depression is 5°
The horizontal distance from the airplane to the atoll is 4629 meters.
We need to find the height of the plane.
If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :
[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]
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if f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)
view image below to see answer choices
Answers
Answer:
27Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
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g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
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g(-3) = 36-9
g(-3) = 27
Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
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B:5000
C:4500
Answers
Gary is exercising on the stationary bike in his garage. He bikes 3.5 miles in
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Answers
Answer:
10.5 miles
Step-by-step explanation:
3 * 3.5 = 10.5
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Answer:
haaaahhhhhhhhhaaaaaa
Step-by-step explanation:
Find the value of Y, 14 points
Answers
Answer:should be 125°
Step-by-step explanationz, y, and x make a 180° line. 52+3=55 and subtracting that from the total 180°gives you 125
Answer:
y = 8
Step-by-step explanation:
1. subtract 52° from 180° to get the value of the obtuse angle
2. that leaves you with 128° and now you subtract from 180° again bc the angles of a triangle always add up to 180° and so you have 52° now
3. the two angles you dont have add up to 52° and from here you write the equation 3y + 4y - 4 = 52
4. combine like terms to simplify the equation so you have 7y - 4 = 52.
5. add 4 to both sides so you get 7y = 56 nd then divide both sides by 7 leaving you with y = 8
Please answer quickly, thanks. :)
Answers
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
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Answers
Answer:
-2x+7(10+18)
Step-by-step explanation:
Hope this helps
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Answers
Step-by-step explanation:
[tex]m\angle {ADC}=134°[/tex]
According to the diagram
[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]
[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]
[tex]\longrightarrow\sf 12x+2=134 [/tex]
[tex]\longrightarrow\sf 12x=134-2 [/tex]
[tex]\longrightarrow\sf 12x=132 [/tex]
[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]
[tex]\longrightarrow\sf x=6 [/tex]
[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]
Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
Answers
Answer:
1
Step-by-step explanation:
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
Here are some examples of scientific notation