Answers
Answer:
Step-by-step explanation:
You could do it either way, but I have attached an image with one way to do it.
Then, using the exterior angle theorem, you can do:
(180-4x) + 100 = 3x
280 - 4x = 3x
280 = 7x
x = 40
From there, don't forget to plug in the numbers if you need to do so :)
Related Questions
Find the measure of <1, <2 and <3 In P
Answers
Answer:
Step-by-step explanation:
I need help with this equation. Please solve for k
Answers
Hey there!
18 = -k + 3
-k + 3 = 18
-1k + 3 = 18
SUBTRACT 3 to BOTH SIDES
-1k + 3 - 3 = 18 - 3
SIMPLIFY IT!
-1k = 18 - 3
-1k = 15
DIVIDE -1 to BOTH SIDES
-1k/-1 = 15/-1
SIMPLIFY IT!
k = 15/-1
k = -15
Therefore, the answer is: k = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The speed of light in a vacuum is 29,980,000,000
centimeters per second. In scientific notation, this
number is written as
A. 2.998 x 10⁹.
B. 2.998 x10¹0.
C.
29.98 x 10⁹.
D. 29.98 x10¹0.
Answers
Answer:
[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]
Step-by-step explanation:
Given number:
29,980,000,000
Rules:
Move the decimal point after the first non-zero digit. (after 2)Here, we will move the decimal point 10 places to the left to move it after the first non-zero digit.Since we move the decimal point 10 places, we will write the number as a multiple of 10¹⁰ (10 being the exponent).The number will become:
2.998 × 10¹⁰
[tex]\rule[225]{225}{2}[/tex]
Answer:
B. 2.998 x 10¹⁰
Step-by-step explanation:
Given :
29,980,000,000Steps in solving :
Take the zeros after the last non-zero digit as a power of 10.Take the non-zero part (in the part) and put a decimal point after between the thousands and hundreds place, and shift the remaining powers of 10 to the previously grouped part.Adjust further if needed to match an answer.Solving :
29,980,000,0002,998 x 10⁷2.998 x 10³ x 10⁷2.998 x 10¹⁰In the figure below, what is the value of x?
Answers
Answer:
x = 31.
Step-by-step explanation:
93 = x + 62 (External Angle Theorem).
x = 93 - 62
= 31
The price of a train ticket costs of an initial fee of $5 plus a fee of $2.75 per stop. Julia has $21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket
Let S represent the number of stops that Julia buys
Which inequality describes the scenario and What is the largest number of stops that Julia can afford?
Answers
Answer:
Julia can afford 5 stops including the initial fee
Step-by-step explanation:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
$21 - $5 ÷ $2.75 = 5 with remainder
3) You are interested in understanding how often Tacoma residents visit the downtown area.
Tacoma has many residents, but you only survey 248 of the residents.
You asked this sample of 248 people how many times they have visited downtown in the past year.
The mean number of times in the past year that they visited downtown was 5.40, with a standard
deviation of 16.
Based on this information, construct and interval with 95% chance that it contains the true
population mean. (Construct a 95% confidence interval).
Answers
ТУ
Which quadratic function is represented by the graph?
6
5
4
O FUX) = - (x + 1)(x – 5)
O f(x) = - (x – 11x + 5)
3
2-
14
O f(x) = -5(x + 1)(x - 5)
2 3 4 5 x
3 -5 -5 -4 -3 -2 -21
-2
O f(x) = -5(x - 1)(x + 5)
+
-3
4
6
Answers
Answer:
the first one
Step-by-step explanation:
because I know the answer
The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given a graph of a quadratic function.
The graph is directed downwards. So the leading coefficient is negative.
The function touches the X axis at two points, x = -5 and x = 1.
So -5 and 1 are the zeroes of the function.
So the function can be factored as,
f(x) = (x + 5)(x - 1)
So the quadratic equation is,
f(x) = -5 (x - 1) (x + 5)
Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).
Learn more about Quadratic Equations here :
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The side lengths of the rectangle are multiplied by 1/3 what is the new area
Answers
Answer:
New area is 1/9th the original area
Step-by-step explanation:
Original area = L x W
now reduce the side lengths
1/3 L x 1/3 W
1/3 * 1/3 * L x W
1/9 L x W <===== the new area is 1/9th the original area
A bag contains 3 red marbles, 4 blue marbles, and 2 yellow marbles. What is the probability of pulling out a blue marble?
Answers
Probability of pulling out the Blue Marbels = 4/9
Step-by-step explanation:
Red Marbels = 3
Blue Marbels = 4
Yellow Marbels = 2
Total Marbels = 9
P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9
Given circle O lies perfectly within square ABCD. If side BC = 6.84, then what is the area of the orange region?
Answers
What we get to know by looking at picture :
There are two figures: 1. square 2. circle inside it touching all square's wall.As O is center of circle (given) ∴ OP is radius of circleAs the sides are of square , therefore AB = BC = DC = AD[tex] \\ \\\\ [/tex]
To find :
Area of orange region[tex] \\ \\ \\ [/tex]
Given:
O is the center of the circle.ABCD is squareLength of BC is equal to 6.84.[tex] \\ \\ \\ [/tex]
Concept:
So as we can orange doesn't lies inside circle. And the wall of circle touches all four sides of circle. So first we have to find area of circle and then Area of square. And then we will subtract the ares. The result will be Area of orange part.
[tex] \\\\ \\ [/tex]
Solution:[tex] \\ \\\\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of circle: }}}[/tex]
[tex] \\ [/tex]
To find area of circle we need radius of it i.e Length of OP.
As BC = AB
∴AB = 6.84
As O is the center of square ∴it's center of circle too
Therefore:
AB = 2 OP6.84 = 2 OPOP = 6.84/2OP = 684/2 × 10OP = 342/10OP = 3.42[tex] \\\\ [/tex]
Now Let's find area :
[tex] \\\\ [/tex]
[tex] \star \boxed{ \rm Area~of~circle = \pi {r}^{2} }[/tex]
here :
r is the radius of circle.[tex] \\ [/tex]
[tex]: \implies\sf Area~of~circle = \pi {r}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times11.7\\\\\\: \implies\sf Area~of~circle = \dfrac{257.4}{7} \\ \\ \\ : \implies \boxed{ \orange{\tt{ Area~of~circle = 36.6 \{approx \}}}} \bf \dag[/tex]
[tex] \\ \\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of square: }}}[/tex]
[tex] \\\\ [/tex]
[tex] \star \boxed{ \rm Area~of~square = {side}^{2} }[/tex]
[tex] \\ \\ [/tex]
[tex]: \implies\sf Area~of~square = {side}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84} \times 6.84 \\ \\ \\ : \implies \boxed{\tt{ \orange{Area~of~square = 46.8 \{aprox \}}}}\bf\dag[/tex]
[tex] \\ \\ [/tex]
[tex] \red{ \textsf{ \textbf{Area of orange \: part: }}}[/tex]
[tex] \\ [/tex]
[tex] \star\sf \boxed{ \rm Area_{(orange \: part)} = Area_{(square)} - Area_{(circle)}}[/tex]
[tex] \\ \\ [/tex]
[tex]: \implies\sf Area_{(orange \: part)} = 46.8 - 36.6 \\ \\ \\ : \implies \boxed{ \blue{\tt{Area_{(orange \: part)} = 10.2}}}\bf\dag[/tex]
Multiply.
(2y+5) (5y + 7)
Simplify your answer
Answers
Answer: I think it might be 10y
2
+39y+35
Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.
hope this helps!
♥ Chen was here
Answer:
10y^2 + 39y +35
Step-by-step explanation:
First distribute (2y+5)(5y+7)-
2y(5y + 7 )+ 5(5y + 7) This turns into:
10y^2 + 14y + 25y +35
Now combine the like terms (14y+25y)
You should get 10y^2 + 39y + 35 which is your final answer. :)
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answers
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
Which of these scenarios illustrate independent events?
Answer:
A. Only ll
B. only ll
C. Both l and ll
D. Neither l nor ll
Answers
Answer:
The answer would be C, Both I and II.
Step-by-step explanation:
You can find an attached file which shows the scenarios incase your confused.
look at the picture to solve it
Answers
Answer:
6^7
Step-by-step explanation:
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 13 to get 7.
Answer:
6^7
Step-by-step explanation:
6^13/6^6 = 6^7
If a positive is subtracted from a negative, will the answer be true or false. ans:true
Answers
Answer:
It depends. If the negative number is greater than the positive, the answer is true. Otherwise, false.
[tex]x \6 - 1 = x \4 + 1 \2[/tex]
answer. the question pls pls pls pls
Answers
Answer:
-18
Step-by-step explanation:
Hope it helps....................................................
Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line
Answers
Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.
The condition for two parallel lines.In Geometry, two lines are considered to be parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
For two perpendicular lines, we have:
m₁m₂ = -1.
From line k, we have this equation:
y = 1/3x - 2
From line m, we have this equation:
-2x + 6y = 18.
6y = 18 + 2x
y = 18/6 + 2/6x
y = 1/3x + 3.
Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.
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You are investing $1500 at 6.2% compounded annually. How much money will you have in 12 years?
Answers
Answer:
$3087.35
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $1500r = 6.2% = 0.062n = 1t = 12 yearsSubstituting given values into the equation and solving for A:
[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]
what is the value of x
Answers
Answer:
x= 96
Step-by-step explanation:
I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.
8 is 80% OF WHAT NUMBER?
155 is 25% of WHAT NUMBER?
Answers
Answer:
8 is 80% of 10
155 is 25% of 465
Step-by-step explanation:
the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465
two squares have a total area of 208cm square and sum of their perimeter is80cm what are the length of sides of square
Answers
The length of the sides of the square are 8 centimetres and 12 centimetres respectively
How to finds area of a square?area = l²
where
l = side lengthTherefore,
x² + y² = 208
How to finds perimeter of a square?perimeter = 4l
4x + 4y = 80 cm
x + y = 20
x = 20 - y
(20 - y)² + y² = 208
y² - 40y + 400 + y² = 208
2y² - 40y + 192
y² - 20y + 96
(y - 12)(y - 8)
Therefore, y = 12 and y = 8
when y = 8
x + 8 = 20
x = 12
when y = 12
x + 12 = 20
x = 8
Therefore, the length of the sides of the square are 12 cm and 8 cm.
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PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answers
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
Solving :
(2 cos(θ))² = 2
4 cos²θ = 2
cos²θ = 1/√2
cosθ = [tex]\frac{\pi }{4}[/tex]
4cos^2θ=2
cos^2θ=1/2
cosθ= ±√(1/2)
θ= π/4 and 3π/4
So the smallest answer is π/4
how to make a histogram
Answers
2 On the horizontal axis, place the lower value of each interval. ...
3 Draw a bar extending from the lower value of each interval to the lower value of the next interval.
The value of “p” in 1
3
+ p = 2
5
is .............
Answers
Answer:
p = 12
Step-by-step explanation:
13 + p = 25 ( subtract 13 from both sides )
p = 12
Answer:
the value of P is 12
Step-by-step explanation:
if 13+P=25 then P must be 12
subtract 13 from both sides
you're left with P=12
The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answers
Answer: No
Step-by-step explanation:
[tex]\frac{x+3}{x-3} +\frac{36}{9-x^{2} } =\frac{x-3}{x+3}[/tex]
Answers
Answer:
Here is the ans ...hope it helps
Factor 6x^2+14x.
Please, help
Answers
Factor 2x from 6x².
2x (3x)+14x
Factor 2x from 14x.
2x (3x) + 2x (7)
Factor 2x from 2x (3x) + 2x (7).
2x(3x+7) ====> Answers
Answer:
(2x)(3x + 7)
Step-by-step explanation:
Hello!
We can factor this expression by taking out the GCF of both the terms.
The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x
Factor6x² + 14x2x(3x) + 2x(7)(2x)(3x + 7)The factored expression is (2x)(3x + 7)
Please answer c.) with working
Answers
Answer:
a: 44%
(11×100)÷25=44
b: 3
2×4=8
3×1=3
8+3=11
14-11=3
Solve equation 2x+7=17
Answers
Answer: x =5
Step-by-step explanation:
subtract 7 on both sides than divide by 2
Answer:
x = 5
Step-by-step explanation:
Given: 2x + 7 = 17
1. Subtract 7 from both sides
2x + 7 - 7 = 17 - 7
2x = 10
2. Divide both sides by 2
2x ÷ 2 = 10 ÷ 2
x = 5
Final answer: x = 5
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Choose the best description of the cross section shown in each image.
Answers
Answer:
Rectangle
Trapezoid
Square
Triangle.
Step-by-step explanation:
