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
if there are 250 fish in the lake and 50 more are added each year, write a linear equation
16. Write an equation for the translation of y = |x|that is 3 units up. *
Answer:
y = |-3|
Step-by-step explanation:
TRUST ME
I just need one and two
Answer:
b. is not a function
and for question 2 the answer is a.
Step-by-step explanation:
1. B is the answer because one of the inputs has more than one output
2. When you solve it and connect the dots it forms that kind of curve.
HELP I WILL MARK BRAINLIESTTT!!!
Answer:
D
Step-by-step explanation:
I know this stuff
I need help solving 10 ! Please
8/-1=-1/-1
=-8
the answer is -8
Which expression is equivalent to 2.72 + (−5.9) can anyone help
Step-by-step explanation:
-5.9-2.72
=-2.88
it a write answer
is this set of ordered pairs of a function?
(1,1) (2,3) (3,4) (4,2) (5,1)
Solve for a.
4(a + 3)=12 + 4a
−1
no solution
all real numbers
−3
Final Answer: All Real Numbers
Steps/Reasons/Explanation:
Question: Solve for a. [tex]4(a + 3)=12 + 4a[/tex].
Step 1: Expand.
[tex]4a + 12 = 12 + 4a[/tex]
Step 2: Cancel [tex]4a[/tex] on both sides.
[tex]12 = 12[/tex]
Step 3: Since both sides equal, we would have infinitely many solutions.
~I hope I helped you :)~
Answer:1
Step-by-step explanation:1
A college textbook costs $90,00. If the sales tax rate is 6.5%, then how much will the tax be?
Answer:
The sales tax is 6.5% of the selling price of the book: 0.065($90.00) = $5.85.
Step-by-step explanation:
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
56 square
1) 162 square
) 192 square
28 square
inches
inches
inches
inches
A 24 oz. bottle of pop costs $2.25. What is the price per ounce? How did you get that answer?
Answer:10.07
Step-by-step explanation: I got my answer by dividing 24 and 2.25. First, I set up my equation, 24 / 2.25. Then, i multiply 2.25 by 10, which was 22.5. Then i subtracted, which was 1.5 then i bring down my 0. 2.25 doesnt go into 1.50 so I add a 0. then i bring down a 0.
can someone explain
Answer:
K = -2
Step-by-step explanation:
K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y = mx + b, b is the y -intercept.
~theLocoCoco
need answers to this for slope, y-intercept, and x-intercept
Answer:
slope = -2/3
Step-by-step explanation:
rise over run
Answer:
y-intercept: (2,0)
x-intercept: (0,3)
slope: -2/3
Step-by-step explanation:
It took Sharon 1 hour and 45 minutes to pick 3 1/2 pounds of raspberries. At what unit rate did Sharon pick raspberries?
A. 1/2 pound per hour
B. 1 3/4 pounds per hour
C. 2 pounds per hour
D. 2 1/4 pounds per hour
Answer:2 pounds per hour
Step-by-step explanation:
I just did it
Answer:
2 pounds per hour
Step-by-step explanation:
3. Which is an estimate of the square root of 15 to the nearest tent
3.9
1.5
3.8
4.1
Answer:
1.5
Step-by-step explanation:
PLEASE ANSWER !!!!!!!!!!!
Answer:
1 1/16
explanation:
its 1/16 of a pound because its half a serving and a serving is 1/8 of a pound
Helppppppp i have no idea never learned this i will give big brain
Answer:
i dunno about other people but the formula I learned needs the question to give you the radius.
Step-by-step explanation:
ACP=(mAB/360)(2 pi r)
=(74/360)(6.28 r)
=1.29r
Answer:ACP=(mAB/360)(2 pi r)
=(74/360)(6.28 r)
=1.29r
Step-by-step explanation:
If f(x)=-x^2– 7x – 22, find f(-5).
A. -82
B. -32
C. -12
D. 12
E. 38
Answer:
E. 38
Step-by-step explanation:
f(-5) means to plug in -5 for x in the given equation
[tex]f(-5)=(-5)^2-7(-5)-22=25+35-22=38[/tex]
6th grade math i mark as brainliest
Answer:
9. 30/6
10. 7.6 and u
Step-by-step explanation:
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities
Answer:
C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess
Step-by-step explanation:
Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x≤240
what number is the same as -1882384?
Answer:
-1,882384 x 10^6 or -1372^2
Step-by-step explanation:
Both forms equal -1882384.
The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?
an obtuse triangle
an acute triangle
an equilateral triangle
a right triangle
Answer:
C is the answer
Step-by-step explanation:
Answer:
an equilateral triangle
Step-by-step explanation:
Which unit is bigger?
millimeter
centimeter
meter
kilometer
Answer:
The answer is kilogram
Step-by-step explanation:
The answer is a kilogram because a kilogram is 1,000 times larger than one gram (so 1 kilogram = 1,000 grams). A centimeter is 100 times smaller than one meter (so 1 meter = 100 centimeters). A dekaliter is 10 times larger than one liter (so 1 dekaliter = 10 liters).
Hope this helps!!
[x]/[6]=-46 , what is x
Answer:
Step-by-step explanation:
x/6 = - 46
Multiply by 6 on both sides
x = - 46 x 6
x = - 276
Answer:
x= -276
Step-by-step explanation:
x/6=-46
x= -46(6)
x= -276
i think... :)
What is true about the slope of two equations that have no solution?
Answer:
slopes are equal
Step-by-step explanation:
If the 2 equations have no solution then the lines are parallel and never intersect.
Parallel lines have equal slopes.
Answer:
according to our rules ,we can find the formula for the slope by talking the first derivative
HELP I WILL GIVE BRAINLIEST
What steps would you follow to graph the inequality statement?
-4 < -w
place an open circle on 4 and shade to the left
place a closed circle on 4 and shade to the right
place an open circle on -4 and shade to the left
place a closed circle on -4 and shade to the right
Answer: D
Step-by-step explanation:
-4 < -w
w > -4
Since it doesn't have an equal sign, its an open circle. Since its greater than -4, it is going to the right, so shade right.
Answer is D
What is the domain of F? Will mark brainiest
Answer:
A
Step-by-step explanation:
the dots are at -5 an 6.
the dots are closed meaning that they are equal to. -5 is less than 6 and 6 is greater than -5. so the answer should be A
what is the common factors of 5 and 6
Please do not google it
9514 1404 393
Answer:
1
Step-by-step explanation:
The only integer factor common to 5 and 6 is 1.
__
This will be true for any pair of natural numbers that differ by 1.
Help
award: Brainliest
Answer:3.51
Step-by-step explanation: