Answer:
m∠2 = 67°Step-by-step explanation:
m║n ⇒ (9x + 2)° = 74° {Corresponding Angles}
(9x)° = 72°
x = 8
Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)
(5×8 - 1)° + 74° + m∠2 = 180°
39° + 74° + m∠2 = 180°
113° + m∠2 = 180°
m∠2 = 180° - 113°
m∠2 = 67°
Ed earns $40 working at a supermarket after school. He earns $64 working there on a
Saturday. He worked 2 days after school and 1 Saturday, How much did he earn that week?
Answer:
$144
Step-by-step explanation:
$40+$40+$64= $144
What is an equation of the line that contains the point (0, -5) and a slope of 1/4
Answer:
y=1/4x-5
Step-by-step explanation:
Answer:
y = 1/4x - 5
Step-by-step explanation:
y = mx + b is the equation of a straight line.
m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)
(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)
the slope is 1/4
replace each variable in the equation, and you get:
y = 1/4x - 5
A function is shown
f(x)=2/3x+3 what is the value of f(12)
Answer:
11
Step-by-step explanation:
f(12) = 2/3x+3
So, replace x with 12.
2/3(12) + 3
2/3 x 12 = 8
8 + 3 = 11
PLEASE HELP ME I WILL GIVE BRAINLIEST WILL HELP ME PLEASE HELP "A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale price. To the nearest dollar, how much less that the original price will Tom pay for the phone."
Solve the following system of equations for x using elimination
4x + y = 2
x - y = 3
A. -2
B. 1
C. 3.
D.4
Answer:
A
Step-by-step explanation:
A
Answer:
b 1 ksoeoeskmx
Step-by-step explanation:
ksowoxk374
2. Identify the measure of angle x. (Write your answer in number form only, 1 point
for example 8. No degree symbol). *
73
Answer:
17
Step-by-step explanation:
What is the area of the circle? *
10 ft
31.4 square feet
78.5 square feet
314 square feet
15.7 square feetT
Answer:
The answer is 314.159 which can be rounded to 314.
please help, I WILL MARK YOU *BRAINLIEST*
QUESTION: Four more than the quotient of 300 and a number *
A. 4 + (300 - n)
B. (300/n) + 4
C. 4 + 300n
D. (300n +4) + n
If you want more like this^^^^^^^
Answer:
A
Simplify the expression d + 11 - 8d.
z
Which of the following congruency statements is
correct?
2.4 cm
108
2.4 cm
O AYZX - ABCD
Y
36°
36
Ο ΔΥΖX2 ΔDCB
3.8 cm
Ο ΔZXΥ: ΔDCB
Х
O AYXZ – ACDB
B
3.8 cm
136
2.4 cm
36°
С
1089
2.4 cm
D
Orange
Answer:
the answer is c
Step-by-step explanation:
A rock is thrown down from a cliff that is 180 m high. The function
h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock
above the water, where h(t) is the height in metres and t is the time
in seconds. When will the rock reach a ledge that is 105 m above
the water?
Answer:
t = 3
Step-by-step explanation:
105 = -5t^2 -10t + 180
-75 = -5t^2 -10t
15 = t^2 +2t
t^2 +2t -15 = 0
(t+5)(t-3)
t = -5, 3
There's no such thing as negative time so you use the positive answer
Name an independent variable that's used for a laptop computer to work.
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
Lena drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles.
Answer:
13.6 gallons
Step-by-step explanation:
Miles Driven = Gallons Burnt * Miles Per Gallon
So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles. This is 284/20.88 = 13.6 gallons
Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured. You will see this is very important in science
What can we learn from this. As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21. So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.
solve for x (3x-1)°, 71°
Answer:
its x=24 hrhdjdjdndjrirjrjdjdhd
Lines a b c and d are shown below. Which lines are parallel? Which line are perpendicular? Explain and jutsify your answer using slopes
Answer:
Lines A and C are parallel
Lines B and D are perpendicular
Step-by-step explanation:
Given
See attachment for lines A to D
Required
Determine the parallel and perpendicular lines
To start with, we calculate the slope of each line.
Line A
The points on line A are:
[tex](x_1,y_1) = (3,-4)[/tex]
[tex](x_2,y_2) = (-1,2)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]
[tex]m = \frac{2 +4}{-4}[/tex]
[tex]m = \frac{6}{-4}[/tex]
[tex]m_1 = -\frac{3}{2}[/tex]
Line B
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]
[tex]m = \frac{-2}{2 +1}[/tex]
[tex]m_2 = -\frac{2}{3}[/tex]
Line C
[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]
Open bracket
[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]
[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]
[tex]y - 9 = -\frac{3}{2}x -12[/tex]
Make y the subject
[tex]y = -\frac{3}{2}x -12+9[/tex]
[tex]y = -\frac{3}{2}x -3[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_3 = -\frac{3}{2}[/tex]
Line D
[tex]12x - 8y = 40[/tex]
Subtract 12x from both sides
[tex]12x-12x - 8y = -12x+40[/tex]
[tex]- 8y = -12x+40[/tex]
Divide through by -8
[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]
[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]
[tex]y= \frac{3}{2}x-5[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_4 = \frac{3}{2}[/tex]
So, the slopes of the lines are:
[tex]m_1 = -\frac{3}{2}[/tex] [tex]m_2 = -\frac{2}{3}[/tex] [tex]m_3 = -\frac{3}{2}[/tex] [tex]m_4 = \frac{3}{2}[/tex]
Lines with the same slope are parallel.
So:
Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel
Lines with the following relationship are perpendicular:
[tex]m * M = -1[/tex]
Lines B and D are perpendicular because:
[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]
[tex]-\frac{6}{6} = -1[/tex]
[tex]-1 = -1[/tex]
Explain the power of products property and give an example
Answer:
We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.
3 raised to the power of 4 is = 81
I just need to make sure my answer is correct :)
Answer:
Its positive
Step-by-step explanation:
3x - 5 = -3
3x = 2
x = 2/3
2/3 is positive
WILL GIVE BRAINIEST!!!!!!
Answer:
The answer is y = x
Hope this helps!
Please help!! I will be marking brainliest
Answer:
DVDs= $16.2
CDs = $11.9
Cassettes = $11.4
Step-by-step explanation:
What is the result when 4x^4+17x^3+10x^2-7x+184x
4
+17x
3
+10x
2
−7x+18 is divided by x+2x+2?
Answer:
-5x+18/x+2
Step-by-step explanation:
I'm pretty sure it's the answer
Which statement is true about the given information
Answer:
BD = CE
Step-by-step explanation:
Helppppppppp
In a recent year, there were 15,900,000 high school
students in the United States. Suppose 250,000 of a
random sample of 500,000 high school students
during that year played on a sports team. Estimate
the total number of U.S. High school students that
played on a sports team that year.
Answer:
The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.
Step-by-step explanation:
From the random sample, we can expect that [tex]\frac{250000}{500000}=\frac{1}{2}[/tex] of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect [tex]15900000 \cdot \frac{1}{2} = 7950000[/tex] students to have played on a sports team that year.
Helllllllllp. Please
Answer:
Orange area
area=x^2+x-12
Step-by-step explanation:
width=x+3
length=x-4
area=width x length
area=(x+3)(x-4)
area=x^2-4x+3x-12 = x^2+x-12
what is 30 divided into the ratio of 7:8
Dont need awnser just explain
Answer:
i am just standing here
Step-by-step explanation:
Please help me with this
Answer:
m=9 cm; n=4 cm
Step-by-step explanation:
The area of the rectangle is m*n, and the area of the square is 6*6. We are told that the areas of the rectangle and square equal each other, so:
[tex]m*n=36[/tex]
We are told that m is 5 cm longer than n, so we know that:
[tex]m = 5+n[/tex]
Therefore, we can solve for n using substitution.
[tex]m*n=36\\(5+n)n = 36\\5n+n^2 = 36\\n^2 + 5n -36 = 0\\(n+9)(n-4)=0[/tex]
We now have two answers for n: -9 and 4. However, the side length cannot be negative; that simply wouldn't make any sense. Therefore, n = 4.
Next, using the same equation, plug in 4 for n and solve for m.
[tex]m*n=36\\m*4=36\\m=9[/tex]
what is the gradient of (0,3) and (1,8)
Answer: 5/1 = 5
Step-by-step explanation:
The gradient is the slope of something. The slope = rise/run so you just do 8-3 = 5 is the rise and then 1-0 = the run so its a gradient of 5
Choose the equation that shows the relationship of 80%, x, and 100.
Answer:
chipset buy showroom de en inglés
what is the answer to this question
Answer:
the height is 4
Step-by-step explanation:
it is a right triangle and also a perfect 3-4-5 right triangle
[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]
[tex]9 + {h}^{2} \: eqauls \: 25[/tex]
subtract 9 from 25
[tex] {h}^{2} \: equals \: 16[/tex]
then you square root 16
[tex] \sqrt{16} [/tex]
and now you height is 4
Joey is 5 feet tall and casts a 45-foot shadow. A building casts a 270-foot shadow at the same time. How tall is the building?
HELP FOR POSSIBLE BRAINLIEST
Answer:
the building is thirty feet tall
Step-by-step explanation:
so make a ratio of shadow to joey
5:45
simplify that to
1:9
so you can now divide 270 by nine
30
the building is thirty feet tall