Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)
Answer:
-8-60p
Step-by-step explanation:
Step-by-step explanation:
there are some things missing or have been mistyped.
I assume the following basic expression :
(2 - 4(5p + 1))×2 - 4(5p + 1)
4 - 8(5p + 1) - 20p - 4
-8(5p + 1) - 20p
-40p - 8 - 20p
-60p - 8
2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible
Answer:
D) Impossible
Step-by-step explanation:
Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.
If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?
The value of a28 given a11 = 23 and a15 = −5 is -96
Given:
a11 = 23
a15 = −5
Where,
a1 = first term
d = common difference
a11 = a + 10d = 23
a15 = a + 14d = -5
a + 10d = 23 (1)
a + 10d = 23 (1)a + 14d = -5 (2)
subtract (1) from (2) to eliminate a
14d - 10d = -5 - 23
4d = -28
d = -28 / 4
d = -7
Substitute d = -7 into (1)
a + 10d = 23 (1)
a + 10(-7) = 23
a - 70 = 23
a = 23 + 70
a = 93
So,
a28 = a + 27d
= 93 + 27(-7)
= 93 + -189
= 93 - 189
= -96
Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96
Learn more about arithmetic sequence:
https://brainly.com/question/6561461
The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
Read more about quadratic functions at:
https://brainly.com/question/11631534
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8
Answer:
{5, 6, 7}
Step-by-step explanation:
The solution to the inequality is ...
16 -r > 8 . . . . . given
16 -8 > r . . . . . add r-8
8 > r . . . . . . . simplify
The values in the replacement set that are less than 8 are {5, 6, 7}.
PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5
Answer:
Point C
Step-by-step explanation:
Trust me it is correct
make me brainiest because I answered first pls
Can anyone solve and explain part b
Answer:
Below in bold.
Step-by-step explanation:
b.
If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.
So tan O = BD/16 = 15/8
BD = (16*15)/8
= 2*15
= 30.
So the area of triangle ABC = 16*30
= 480 cm^2.
find the total amount due on a loan of $5000 for eight years and 10% simple interest
Answer:
170years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
HELP ME PLEASE I NEED HELP WITH THIS
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
PLEASE HELP QUESTION IN PICTURE
Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17
Answer:
n + 17 = 26
Step-by-step explanation:
Let's replace the sentence with mathematical terms:
17 more than a number is 26
More than means addition. The answer will also be a sum.
17 + a number is 26
Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.
17 + n is 26
The equal sign will replace the word "is".
17 + n = 26
Now, we can use the associative property of addition.
17 + n = 26 into n + 17 = 26
Which mathematical statement represents “17 more than a number is 26”?
Answer:
n + 17 = 26
Step-by-step explanation:
17 more than a number means that you are adding 17 to a number (n) to equal 26.
If you take 17 away from each side you get n = 9
9 + 17 = 26 is a true statement so the equation is correct.
Distance between each pair of points (-6,-4.7) and (-6,4.1)
Answer:
8.8
Step-by-step explanation:
as X1=X2
we use | Y2-Y1 |
=| 4.1 -(-4.7) |
=| 8.8 |
=8.8
if x and x/4 are a pair of supplementary angles find angles
[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]
Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x
Answer:
A) x=4
B)x=[tex]\sqrt{2}[/tex]+3 or 7.24
Step-by-step explanation:
PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Mark as brainliest
A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *
Answer:
3.7 meters
Step-by-step explanation:
First, convert the fractions into decimals.
5 1/5 = 5.2
1 1/2 = 1.5
Then subtract them
5.2-1.5=3.7 meters!
A line passes through the points (-2, 9) and (1, 3).
Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
[tex]\frac{3-9}{1-(-2)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
What proportion of US women have a height greater than 69.5 inches?
Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5 inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].
The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69.5 - 65}{2.5}[/tex]
[tex]Z = 1.8[/tex]
[tex]Z = 1.8[/tex] has a p-value of 0.9641.
1 - 0.9641 = 0.0359
0.0359 = 3.59% of US women have a height greater than 69.5 inches.
You can learn more about the Normal distribution at https://brainly.com/question/24663213
what is _ percent of 100 is 14
Answer:
It should be 14 percent.
Step-by-step explanation:
14 percent is just 14/100, which if you multiply by 100 gives you 14.
14%
Step-by-step explanation:
Whenever you have anything over 100 (e.g 40/100) that number is always gonna be 40. Like multiplying by 1. 9*1 is 1. Assume the 9 is 90 and assume the 1 is 100. It's always gonna be the numerator instead of the denominator.
Mark me brainliest if you can
does anyone know how to do this?? thank you for your help
Answer:
substitute 1 for t
Step-by-step explanation:
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)
Answer:
rectangle
Step-by-step explanation:
u can use a graph paper
What is the surface area of the rectangular prism below?
Answer:
is 736 units
Step-by-step explanation:
my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706
The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.
The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.
The area of a rectangle is given by:
area = length * breadth
The surface area of the rectangular prism is then given by:
surface area = 2 * (length * breadth + breadth * height + height * length)
Plugging in the values for the length, breadth, and height, we get:
surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units
Therefore, the surface area of the rectangular prism is A) 736 square units.
Here is a breakdown of the surface area of each of the faces:
Front face: 19 * 8 = 152 square units
Back face: 19 * 8 = 152 square units
Top face: 8 * 8 = 64 square units
Bottom face: 8 * 8 = 64 square units
Left face: 19 * 8 = 152 square units
Right face: 19 * 8 = 152 square units
The total surface area is the sum of the areas of all 6 faces, which is 736 square units.
To learn more about surface area here:
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someone pleeeeease help me
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?
Answer:
V = B * H area of base * height
B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2
H = V / B = 600 cm^3 / 78.5 cm^2 = 7.64 cm
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work
Answer:
Maximum height is 64 feet
Step-by-step explanation:
For all: h= -16t²+ 32t + 48
1) AOS -> a = -16; b = 32; c = 48
x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1
2) Plug in AOS
h = -16(1)² + 32(1) + 48
h= -16 + 32 + 48
h= 16 + 48
h= 64
Max height is 64
the given cube has a mass of 173 grams, what is it’s density
Answer:
I think the density is 4cm.
Hope that helps you.
Step-by-step explanation: