Answer:
[tex]x = 71[/tex]
Step-by-step explanation:
The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.
Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.
[tex]180 - 40 - 31 = 109[/tex]
So the missing angle is 109°. Now we can find the value of x.
We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.
[tex]180 - 109 = 71[/tex]
Now we know x is 71
ab (3a-5b) equals to?
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64
Answer:
The diameter of a circle with the equation is 16.
Step-by-step explanation:
Given the equation
[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]
We know that the circle equation with radius 'r', centered at (a, b)
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]
Here,
radius = r = 8
center = (4, -6)
Hence, the radius of the circle is: r = 8
we know that
diameter = 2r
= 2(8)
= 16
Therefore, the diameter of a circle with the equation is 16.
Answer:
They are correct. The answer is c. 16
Step-by-step explanation:
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
what is the measure of <x?
Answer:
31 degrees
Step-by-step explanation:
...........
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
Decrease £40 by 70%
please help!
Answer: £12
Step-by-step explanation: To decrease £40 by 70%, you’ll have to find what 70% of £40 is, which is 28. Lastly, subtract 40 by 28. You should end up with a final result of £12.
Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = -x
B. 9y = 6x
C. y = x - 4
D. 6x - 4y = 6
Answer:
I put 9y=6x
Step-by-step explanation:
I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .
Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
A decagon is a ten-sided polygon.
The value of n could be 252 degree.
Since, A Decagon has 10 sides
The angle made in one complete rotation is 360 degree.
Now find angle made in each rotation is,
[tex]=\frac{360}{10}=36degree[/tex]
Now, we have to find possible values of n.
Since, n must be a multiple of 36
Apply hit and trial from given option.
We observe that from given options, only 252 degree is multiple of 36.
Therefore, value of n could be 252 degree.
Hence, option 4 is correct.
Learn more:
https://brainly.com/question/9549251
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
Can you find the slope-intercept of the line? Thank you!
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = x + 2 ← equation of line
Triangle P'Q'R is the image of PQR under a transformation
Answer:
what is your question
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no picture....
1. The fair coin is tossed once. What is the
probability of obtaining obtaining i
a) A head
b) A tail
c)no head
d)No tail
Write an equation in slope-intercept form of the line that passes through the given points.
х
у
-2
2
0
1
2.
0
4
-1
Answer:
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).
Step-by-step explanation:
Was i right?!?
how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
4x/3+3=x-2
value of x ?
Answer:
x = - 15
Step-by-step explanation:
Given
[tex]\frac{4x}{3}[/tex] + 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
Step-by-step explanation:
find the LCM of 3 and 1 which is 3
then you have
4x/3 +3/1 =4x+9/3
now equate the above with x-2
4x+9/3=x-2
Cross multiply
3(x-2)=1(4x+9)
3x-6=4x+9
3x-4x=9+6
-x=15
x = -15
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
Which number line correctly shows –3 – 1.5?
Answer:
A
Step-by-step explanation:
I just need help wit this quick question
9514 1404 393
Answer:
yes
Step-by-step explanation:
A triangle is acute if its largest angle is acute.
A triangle is obtuse if its largest angle is obtuse.
A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.
Answer:
Step-by-step explanation:
Yes they do contradict
Acute means less than 90 while obtuse means more than 90.
Both can't exist for the same triangle at the same time.
The school bought a new computer for me for $960. If that is 120% of what
the store paid for it, how much did the store pay for it?
Answer:
The store paid $800 for it
Step-by-step explanation:
let x be the value the store paid for it
120/100 * x = 960
120x = 96000
x = 96000/120
x = $800
Can somebody answer this
a pool of linen container 100 meters. three butete brought 15.75 meters, 22.50 meters and 12.25 meters respectively. how many meters of line was left after the sale
49 m
Answer:
49.5 meters of linen were left after the sale.
Step-by-step explanation:
Given that there are 100 meters of linen
And 15.75, 22.50 and 12.25 meters are sold.
This means that the sold linen has to be added to find the total linen sold.
And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.
[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]
Left linen will be:
[tex]=100-50.5 = 49.5[/tex]
Hence,
49.5 meters of linen were left after the sale.
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
5x-3(x-2)=4
This is for Algebra 1
Answer:
5x-3(x-2)=4
5x-3x+6=4
2x+6=4
2x= 4-6
2x= -2
x = -1
12x² + 8x = 0
What are the zeroes?
Answer:
The zeros are at 0 and -2/3