Answers
Answer:
x = 5
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
21x + 5 is an exterior angle of the triangle , then
21x + 5 = 5 + 13x + 40
21x + 5 = 13x + 45 ( subtract 13x from both sides )
8x + 5 = 45 ( subtract 5 from both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Answer:
x=5
Step-by-step explanation:
Angles Q and R are supplementary
13x + 21x +5 = 180
10+34x =180
34x=170
x = 5
Related Questions
you have $11.35 to buy treats for yourself and a friend. You buy 3 packs of marshmallow chicks for $1.45 each. Then u buy 2 cupcakes for $2.29 each. Which two items below could you afford to buy with your change? bunny $1.88, egg $1.05 ,jelly beans $1.37
Answers
Answer:
Egg and Jelly Bans
Step-by-step explanation:
*Using a calculator or otherwise*
1.45 x 3 = $4.35 1.05(eggs)+1.37(beans)= $2.42
+
2.29 x 2 =$4.58
= $8.93
11.35-8.93= $2.42
John put away 36 of 48 shirts in his closet. Don has 84 shirts. If he put away the same percent, how many shirts did Don put in his closet?
Answers
Answer:
63
Step-by-step explanation:
John's percentage:
36 and 48 have a common factor of 12 so divide both of them by 12.
36/12= 3 and 48/12=4 therefore
so 36/48= 3/4 which is 75% but we don't need to focus on the percent.
Don's no. of shirts:
we know Don has 84 shirts so we say
3/4 of 84= no. of shirts that Don put in his closet
84/4=21 21x3=63
Don put 63 shirts in his closet.
Hope that helped! Anymore questions just ask! :)
- -7=12 what is this one i need help
Answers
Answer:
False
Step-by-step explanation:
I am assuming this is the answer you are looking for and if not I am sorry. The sides of this equation are not currently equal. (-7=12) So the statement of the equation is false.
PLEASE HELP I'M SO CLOSE TO BEING DONE
Answers
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 3 sides of the triangle.
P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms
= 5x² + 36x + 7
to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = 36
the factors are + 35 and + 1
use these factors to split the x- term
5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )
= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term
= (x + 7)(5x + 1) , then
P = (x + 7)(5x + 1) ← in factored form
Which expression is equivalent to
[tex]2 \sqrt[3]{ {x}^{2} } - \sqrt{16x} [/tex]
if x > 0?
Answers
[tex]2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}[/tex]
[tex]\text{Hence the answer is A}[/tex]
Answer:
[tex] \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
Step-by-step explanation:
[tex] \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
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1. Which equation represents the line that passes through the points (4, 8) and (2, -6)?
Answers
Answer:
D : y = 7x - 20
Step-by-step explanation:
let D be the line that passes through the points (4, 8) and (2, -6)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{8-(-6)}{4-2}=\frac{14}{2}=7[/tex]
Since the point (4, 8) lies on the line D then :
8 = 7 × (4) + b
then
8 = 28 + b
then
b = 8 - 28
= -20
Conclusion:
Since a = 7 and b = -20 then
D : y = 7x - 20
can someone please help my solve for x?
Answers
x= 41
Break the shape into two triangles
Use Pythagoras theorem to solve for the hypotenuse of the first triangle (the triangle with sides 32 and 24). You should have 40
Get to the second triangle. Use Pythagoras theorem to solve for the hypotenuse which, in this case, is x. Note that the sides of the second triangle are 40 (the hypotenuse of the last triangle. Look closely. ) and 9
The polynomial −2x3 − x2 13x in the last line is the result of dividing x2 3x 1 by 3x2 and bringing down 13x. subtracting 3x4 9x3 3x2 from the dividend and bringing down 13x . multiplying 3x2 by x2 3x 1.
Answers
Subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
The dividend polynomial:
[tex]\rm = 3x^4+7x^3+2x^2+13x+5[/tex]
If we subtract the polynomial [tex]\rm 3x^4+9x^3+3x^2[/tex] from the dividend polynomial, we will get:
[tex]\rm = (3x^4+7x^3+2x^2+13x+5)-(3x^4+9x^3+3x^2)[/tex]
[tex]\rm = -2x^3-x^2+13x+5[/tex]
After bringing down 13x, we will get the polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
If complete the division of the polynomial, we will get:
[tex]\rm = \frac{(3x^4+7x^3+2x^2+13x+5)}{x^2+3x+1}[/tex]
= [tex]=\rm 3x^2-2x+5[/tex]
Thus, the subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
Learn more about Polynomial here:
brainly.com/question/17822016
Korey is planning to open a comic book store near his home. after completing a population survey for 3,520 homes in a 5 mile radius, korey created the chart below to include in the market analysis section of his business plan. korey expects 75% of his business to come from kids in high school and grade school. about how many of homes surveyed fit into one of these two categories? a pie chart titled population surveys. retired (55 plus), 10 percent; family (kids in college), 8 percent; family (kids in high school), 18 percent; family (kids in grade school), 32 percent; family (no kids), 20 percent; single, 12 percent. a. 493 b. 637 c. 1,126 d. 1,760
Answers
Kids in grade school have a maximum percentage of 32 reasons that Option (d) is the correct answer.
why are the grade-school-aged kids surveyed?Korey did the market analysis section of his business plan after conducting a population survey of 3,520 homes within a 5-mile radius.
He discovered that younger children who read comic books as children are more likely to read them as adults, resulting in a current and future client base.
For more information about the market analysis survey, refer below
brainly.com/question/3886071
Which equation has a graph that lies entirely above the x-axis?
y = –(x + 7)2 + 7
y = (x – 7)2 – 7
y = (x – 7)2 + 7
y = (x – 7)2
Answers
Answer:
[tex]y = (x - 7)^{2} + 7[/tex].
Step-by-step explanation:
Let [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] be constants, and let [tex]a \ne 0[/tex]. The equation [tex]y = a\, (x - h)^{2} + k[/tex] represents a parabola in a plane with vertex at [tex](h,\, k)[/tex].
For example, for [tex]y = -(x + 7)^{2} + 7 = -(x - (-7))^{2} + 7[/tex], [tex]a = (-1)[/tex], [tex]h = (-7)[/tex], and [tex]k = 7[/tex].
A parabola is entirely above the [tex]x[/tex]-axis only if this parabola opens upwards, with the vertex [tex](h,\, k)[/tex] above the [tex]x\![/tex]-axis.
The parabola opens upwards if and only if the leading coefficient is positive: [tex]a > 0[/tex].
For the vertex [tex](h,\, k)[/tex] to be above the [tex]x[/tex]-axis, the [tex]y[/tex]-coordinate of that point, [tex]k[/tex], must be strictly positive. Thus, [tex]k > 0[/tex].
Among the choices:
[tex]y = -(x + 7)^{2} + 7[/tex] does not meet the requirements. Since [tex]a = (-1)[/tex], this parabola would open downwards, not upwards as required.[tex]y = (x - 7)^{2} - 7[/tex] does not meet the requirements. Since [tex]k = (-7)[/tex] and is negative, the vertex of this parabola would be below the [tex]x[/tex]-axis.[tex]y = (x - 7)^{2} + 7[/tex] meet both requirements: [tex]a = 1[/tex] and [tex]k = 7[/tex].[tex]y = (x - 7)^{2}[/tex] (for which [tex]k = 0[/tex]) would touch the [tex]x[/tex]-axis at its vertex.Answer:
its c
Step-by-step explanation:
Find the area! (Don’t need to explain)
Answers
Area of vertical rectangle:-
13(5)65mm²Area of horizontal rectangle:-
13(2)26mm²Area of triangle:-
1/2(13-10)(5)1/2(3)(5)15/27.5mm²Total area:-
7.5+26+6598.5mm²What is the area of a trapezoid based right prism that has the volume of 30cm cubed
Answers
Answer:
6 cm²
Step-by-step explanation:
V = Bh
30 = B (5)
[tex]b \: = \frac{30}{5} = 6 \: cm {}^{2} [/tex]
Tina buys tickets to an amusement park. Adult tickets cost $18.50 each and children tickets cost $12.25 each. Tina has $280 to purchase both adult and children's tickets. If she purchases 6 children's tickets, determine algebraically the maximum number of adult tickets that Tina can purchase.
Answers
Answer: 11 adult tickets
Step-by-step explanation:
First, we will write an equation. Let x be adult tickets and y be children tickets.
$280 ≥ 18.5x + 12.25y
Now I will graph it!
-> See attached
If she bought 6 children's tickets, we can look to the y value of 6 (children's tickets) to find our maximum value of x (adult tickets).
This means she can buy a maximum of 11 tickets because we will assume she cannot buy part of a ticket.
She can buy 11 adult tickets.
what is f(x)=x²-16 in factored form
Answers
Answer:
f(x) = (x + 4)(x - 4)
Step-by-step explanation:
f(x) = x² - 16
This is the difference of two squares.
f(x) = (x + 4)(x - 4)
sarah uses 2/3 of her supply of cheese to make pizza and 1/9 of her supply of cheese to make lasagna. If Sarah uses 2 1/3 pounds of cheese, how many pounds of cheese were in her supply?
Answers
Answer: 0.05 cup
Step-by-step explanation:
Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.
This gives you 0.25
Divide 1.6 by 8 to find how much is in one of Amy's dishes.
This gives you 0.2
Now minus 0.2 from 0.25.
This gives you a 0.05 cup
hope this helps
The two figures have a ratio of similarity of 3:4. If the area of the larger is 100 square units, what is the area of the smaller?
Answers
Answer:
75 square units
Step-by-step explanation:
set up a proportion first.
[tex] \frac{3}{4} = \frac{x}{100} [/tex]
(x is on top because it asks for the smaller area, so it is on the same side of the 3)
after, cross multiply to find x
4x = 300
divide by 4
x= 75
When Joseph first starts working at a grocery store, his hourly rate is $10dollar sign, 10. For each year he works at the grocery store, his hourly rate increases by $0.50dollar sign, 0, point, 50.
Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store.
Write the function's formula.
Answers
Answer:
R(t)=10+0.50t
Step-by-step explanation:
Let t be the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50.
So the hourly rates after t years will be 10 plus 0.50t.We can represent this information in an equation as: R(t)=10+0.50t
Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.
(Hope this helps pls can I have brainlist have a great day )
2/3(x-6)=6 solve for x
Answers
Answer:
18
Step-by-step explanation:
2/3 = 66%
66% of 18 =
12-6=
6
round to the nears hundrend .7,666
Answers
Answer:
.767
Step-by-step explanation:
0. ones, tens, hundreds, thousands
PLEASE HELP ME!!!! IM STUCK
Answers
Answer:
B .565
Step-by-step explanation:
10 + 13 =
23
13/23 = .565
10 POINTS!!!
Please help no links or ill report!!
Answers
Answer:
Step-by-step explanation:
Identify the y-intercept and slope of
the line.
y= 2x - 5
Answers
Answer:
y-intercept = -5
slope = 2
Step-by-step explanation:
Hello!
The y-intercept is always the y-coordinate when the line touches the y-axis. You can find this by plugging in 0 for x in the equation or choosing the last term in slope-intercept form.
Slope intercept form: y = mx + b
y = outputx = inputm = slopeb = y - interceptGiven this info, we can see that the slope, m, is 2, from our equation of y = 2x - 5, and the y-intercept is -5
Mia placed a point P on the number line give the value of the number P as a fraction what does the denominator denominator of a fraction present on the number line what does the numerator of a fraction represent a number one answer answer and explain your explanation boat space provided
Answers
Mia's fraction is an illustration of number lines
The fraction present on the number line is 5/6
How to determine the fraction?From the complete question, we have the following parameters:
Sections on the number line = 6Section on the point P = 5This means that, the fraction represented by the point P is:
P = 5/6
Hence, the fraction present on the number line is 5/6
Read more about number lines at:
https://brainly.com/question/4727909
Find the volume of the prism below.
7 cm
3 cm
16 cm
A cubic cm
Answers
Answer:
i dont have the answer but heres a little help to find your answer:)
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle.
Which correctly applies the distributive property to show an equivalent expression to (8.6)(–2.5)?
(8)(2) – (0.6)(0.5)
(8)(–2) – (0.6)(–0.5)
(8.6)(2) – (8.6)(0.5)
(8.6)(–2) + (8.6)(–0.5
Answers
Answer:
(8.6)(-2)+(8.6)(-0.5)
Step-by-step explanation
Since -2+-0.5= -2.5, we need to use a plus sign. Also, since we multiply both by 8.6, that is the answer.
Find the slope of the line passing through (2, 10) and (8, 7)
Answers
Slope= -1/2
Solution:The slope formula will help us find the slope.This is the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{7-10}{8-2} =\frac{-3}{6} =-\frac{1}{2}[/tex]Hope it helps.
Do comment if you have any query.
Slope:-
m=7-10/8-2m=-3/6m=-1/2the sum of two rational number is -8 ,if one of the number is -10/1, find the other number.
Answers
Answer:
2
Step-by-step explanation:
-10 + x = - 8 add 10 to both sides of the equation
x = 2
what comes first i genuinely forgot, like is (2,3) on a graph (x,y) or is it (y,x)
Answers
Answer:
(x,y)
Step-by-step explanation:
x comes first always
(x,y)
so 2 would be the x value and 3 would be the y value
Surface area- Rectangle
Please help ASAP
Answers
Answer:
The surface area of the rectangle is 2670
which of the following is a property of all rectangles
Answers
Answer:
The fundamental properties of rectangles are:
A rectangle is a quadrilateralThe opposite sides are parallel and equal to each otherEach interior angle is equal to 90 degreesThe sum of all the interior angles is equal to 360 degreesThe diagonals bisect each otherBoth the diagonals have the same lengthA rectangle with side lengths a and b has the perimeter as 2a+2b unitsA rectangle with side lengths a and b has the area as: ab sin 90 = ab square unitsThe sum of the interior angles is equal to 360 degreesA diagonal of a rectangle is a diameter of its circumcircleIf a and b are the sides of a rectangle, then the length of each diagonal is: [tex]\begin{array}{l}d = \sqrt{a^{2}+b^{2}}\end{array}[/tex]The diagonals bisect each other at different angles. One is acute, and another one is an obtuse angleIf the two diagonals bisect each other at right angles, then the rectangle is known as a squareA cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the longer parallel sides. In this case, the height of the cylinder is equal to the width of a rectangle. Also, the cylinder diameter is equivalent to the length of a rectangleA cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the shorter parallel sides. In this case, the height of the cylinder is equal to the length of a rectangle. Similarly, the cylinder diameter is equivalent to the width of a rectangleStep-by-step explanation:
Since you said, which of the following, I don't see any attachment. Yet, this is my best try at giving you an answer. Please mark my answer brainliest :)