Find the value of x.
Answer: x = 20
Step-by-step explanation:
The angle is 90 degrees so we can make an equation
with it.
3x + 10 + x = 90
Combine like terms
4x + 10 = 90
subtract 10 from both sides to cancel it out
4x = 80
Now divide by 4 to leave x by itself
x = 20
Now you can check if it's correct by plugging in x to the equation given
3(20) + 10
60 + 10
70
20 + 70 = 90 degrees
Answer:
D: 20 degrees
Step-by-step explanation:
First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.
We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.
This leaves us with x=20.
Hope this helped!
Find the measure of one of the interior angles of a
regular polygon with 12 sides.
A 30°
B 165°
C 150°
D 2160°
75.854 expanded form
Answer:
70+5+0.8+0.05+0.004
Step-by-step explanation:
what did you put for #3?
Answer:
huh
Step-by-step explanation:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r
Step-by-step explanation:
From the original question, we can rewrite this as:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?
f(r) = 4000r
e(r) = 1800r
d(r) = ? (profit or loss)
Assuming we had added a row of first class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, OPTION A.) d(r) = 2200r
The value of d(r) will be 2200r. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Assuming we had added a row of first-class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, the value of d(r) will be 2200r. The correct option is A.
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Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.
GRAPH COMPANY B:
2 340
3 510
4 680
5 850
GRAPH COMPANY C:
2 350
3 525
4 700
5 875
PLEASE EXPLAIN NOT ONLY SAYING WHICH COMPANY ONLY??!!
Answer:
Company A and B
Step-by-step explanation:
For company A- 170 is the cost for one hour
For company B- 170 is the cost for one hour
For company C- 175 is the cost for one hour
So company A and B offer the best deal since they both offer $170 per hour.
What is 20.30 - 19.70 and what are the solving steps?
Answer
0.6
Step-by-step explanation:
here is the working out! Can i get brainliest
Answer:
Look at the image!!
Step-by-step explanation:
Hope this helps!!
Sorry for the bad righting XD
If you want to learn more search Mathisfun.com!!
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L
Answer:
128.2
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:
[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]
In AEFG, the measure of ZG=90°, FG = 5.6 feet, and EF = 9.7 feet. Find the measure of ZE to the nearest tenth of a degree.
Answer: 35.3
Step-by-step explanation:
Answer:
35.3
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF CORRECT
Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
The radius of a circle is 9 millimeters what is the circle area
Answer:
The answer is 256.34mm^2
Step-by-step explanation:
Radius = 9mm
Area = πr^2
Area = 3.14×(9)^2
Area = 3.14×81
Area = 256.34mm^2
how to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x
Answer:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=-4x^5-8x^3+12x[/tex]
And we want to finds its zeros.
Therefore:
[tex]0=-4x^5-8x^3+12x[/tex]
Firstly, we can divide everything by -4:
[tex]0=x^5+2x^3-3x[/tex]
Factor out an x:
[tex]0=x(x^4+2x^2-3)[/tex]
This is in quadratic form. For simplicity, we can let:
[tex]u=x^2[/tex]
Then by substitution:
[tex]0=x(u^2+2u-3)[/tex]
Factor:
[tex]0=x(u+3)(u-1)[/tex]
Substitute back:
[tex]0=x(x^2+3)(x^2-1)[/tex]
By the Zero Product Property:
[tex]x=0\text{ and } x^2+3=0\text{ and } x^2-1=0[/tex]
Solving for each case:
[tex]x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}[/tex]
Therefore, our real and complex zeros are:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
HELP ILL MARK YOU BRAINLIST
Answer:
[tex]-\frac{3}{2}[/tex]
Given the function, where a, b, and c are positive numbers:
f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?
Answer:
2 real roots and 1 imaginary roots
Step-by-step explanation:
f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]
There are only 2 real roots and one imaginary roots.
Separate the equation into sections because the function is a multiplication with no outside sum or substraction:
Real Roots:
[tex](x-a)[/tex] = 0 when x = a
[tex](x-b)^{2}[/tex] = 0 when x = b
Imaginary roots:
[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]
The sum of the interior angles of each polygon is 360°. In the diagram ABCD=HGEF find the values of x and y look at photo below
Answer:
x = 3
y = 60°
Step-by-step explanation:
The given parameters of the figures are;
The sum of the interior angles of each polygon (quadrilaterals) = 360°
Quadrilateral ABCD = Quadrilateral HGEF
∴ ABCD ≅ HGEF
Therefore;
Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent
∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.
∴ 3 ft. = x ft.
x = 3
Similarly, we have;
∠A + ∠B + ∠C + ∠D = 360° Given
∠B = 100°, and ∠D = 70° Given
∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°
∠A + ∠C = 190°
∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent
∴ ∠A = ∠G and ∠C = ∠E By definition of congruency
∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property
∠G = (2·y + 2)°, and ∠E = (y + 8)° Given
∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°
3·y = 190° - 10° = 180°
y = 180°/3 = 60°
y = 60°
The value of x and y are 3 feet and 72 degrees respectively
Angle in a quadrilateral.From the given quadrilaterals, the sum of adjacent angles is 180 degrees.
Hence from figure;
m<E + m<F = 180m<B = m<F = 100y + 8 + 100 = 180
y + 108 = 180
y = 180 - 108
y = 72degrees
Similarly;
m<D = mG = 70 degrees.
AB = GH = 3 feet
Hence the value of x and y are 3 feet and 72 degrees respectively
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Simplify to create an equivalent expression. 8(10-6q)+3(-7q-2)}8(10−6q)+3(−7q−2)
Answer:
-69q+74
Step-by-step explanation:
Distribute:
80-48q-21q-6
Simplify:
74-69q
What is the length of a diagonal of rectangle EFGH?
Answer:
Step-by-step explanation:
So it is 3 by 7 rectangle and diagonal
FE=3 EH=7 so FH=6
Identify two segments that are marked parallel to each other on the diagram below. PLEASE ANSWER CORRECTLY !!!!!!!! WILL
MARK BRIANLIEST !!!!! (Choose two capital letters for each !!!!!! )
Answer:
LO is parallel to MN
Step-by-step explanation:
Here we have a parallelogram, and we want to identify two segments that are parallel.
We can see that ON is parallel to LM
And LO is parallel to MN
Because this is a parallelogram (we know this because there is a 90° angle at N), the opposite sides are parallel.
So from this, we can see that sides ON and LM are opposite, then ON is parallel to LM
With the same reasoning, LO is parallel to MN.
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5x + 2 <22
Inequality
Answer:
the answer to the inequality is
Step-by-step explanation:
x = 3
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]5x < 22 - 2[/tex]
2) Simplify 22 - 2 to 22.
[tex]5x < 20[/tex]
3) Divide both sides by 5.
[tex]x < \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x < 4[/tex]
So, therefor, the answer is, x < 4.
Mary spent a total of $291.30 for a party she spent $200.37 on food plus an additional $30.31 for each hour of the party how long was the party
Step-by-step explanation:
total money = $291.30food money = $200.37party money = total money - food money = $291.30 - $200.37 = $90.93party money each hour = $30.31party hour = $90.93 ÷ $30.31 = 3hoursMARK ME BRAINLISTPLZ FOLLOW ME2/5 hours makes how many minutes?
Answer:
24 minutes
Step-by-step explanation:
60/5= 12
12 minutes = 1/5
12*2 = 1/5*2
24 = 2/5
HELPPPP
The circle graph shows the percent of vegetables planted in a vegetable garden. There are 200 vegetable plants in all.
How many of the vegetable plants are green beans?
A. 12
B. 24
C. 76
D. 36
Number of green bean plants are 24. Therefore, option B is the correct answer.
What is circle graph?Circle graphs also known as pie charts are one of the most commonly used graphs to represent data using the attributes of circles, spheres, and angular data to represent real-world information. It is used to visualize information and data.
Given that, there are 200 vegetable plants in a vegetable garden.
From the circle graph, percentage of green beans is 12%.
So, number of green bean plants are
12% of 200
= 12/100 ×200
= 12×2
= 24
Therefore, option B is the correct answer.
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Can you guys help me please
Answer:
a = 42
Step-by-step explanation:
2a + 16 + 80 = 2a + 96
2a + 96 = 180
2a = 84
a = 42
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
What is a reasonable estimate for 2,590 divided by 15? Please explain.
Answer:
172.7
Step-by-step explanation:
2590 divided by 15 = 172.6666667
7 is greater than five so the 6 gets rounded up which makes the answer 172.7!
2590 divided by 15 can be calculated by division operation and it will be equal to 172
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.
In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.
So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.
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find the area of E?? i really need this done please and thank you
Answer: 24 square inches
Step-by-step explanation:
To get the whole area Multiply length x width
12 x 7 = 84
Now we get the area of the space in the rectangle
6 x 5 = 30 and multiply that by 2 since there are 2 spaces
in the rectangle.
30 x 2 = 60
84 - 60 = 24
What is the slope of the line that passes through the points (10, 5) and (15, 20) ?
Answer:
Y=15 x=5
15/5 or 3
Step-by-step explanation:
In this diagram, the measure of
Answer:
2x - 60 = 180
Step-by-step explanation:
Angles RQS and PQS form a linear pair, so they are supplementary.
The sum of their measure is 180°.
Both angle measures are unknow, so let's use x for the measure of <PQS.
The measure of angle RQS is 60° less than the measure of <RQS, so it is
x - 60
Now we add the measures and set the sum equal to 180.
x + x - 60 = 180
Combine like terms on the left side.
2x - 60 = 180
Answer: 2x - 60 = 180
Can you please help I dont understand it.
Answer:
-3.5
Step-by-step explanation:
4y-6y-10=-3
-2y=-3+10
-2y=7
y=7/-2
y=-3.5
Find the volume of the cone. Use 3.14 for pi.
Answer:
V=37.68
Step-by-step explanation:
The formula for the volume of a cone is V=1/3πr^2h. First, plug the values in to the varibles to get V=1/3π3^2(4), since 3 is the radius and 4 is the height. Now simplify the equation.
V=1/3π3^2(4)
V=1/3π9(4)
V=1/3π36
Multiply 36 by pi, which the equation wants you to use as 3.14.
V=1/3(113.04)
Now simplify to get V=37.68.
I hope this helps! Have a great day/night!