Step-by-step explanation:
Here's another solution.
360-275-20=65
ratio 3:10
3x+10x=65
13x=65
x=5
5*3=15° and 5*10=50°
15° and 50° are the other two angles
Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah
Answer:
The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven the equation
[tex]y = x - 3[/tex]
comparing with the slope-intercept form of the line equation
Slope m = 1
Important Tip:
As the parallel lines never intersect, therefore, they have the same slopes.Thus, the slope of the parallel line is also 1.
As the parallel line contains the point (-2, 1).
so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line
[tex]y = mx+b[/tex]
[tex]1 = 1(-2) + b[/tex] ∵ (x, y) = (-2, 1) and m = 1
[tex]1 = -2 + b[/tex]
switch sides
[tex]-2+b = 1[/tex]
add 2 to both sides
[tex]-2 + b + 2 = 1 + 2[/tex]
simplify
[tex]b = 3[/tex]
Thus, the y-intercept b of the parallel line is: b = 3
now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line
[tex]y = mx + b[/tex]
[tex]y = (1)x + 3[/tex]
[tex]y = x + 3[/tex]
Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
From the graph:
The green line represents the equation y = x - 3 The black line represents the parallel equation y = x + 3It is clear that both lines are parallel.
A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.
Answer:
Step-by-step explanation:
let the height of tree=h
[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=H(8)
Step-by-step explanation:
P equals Pay.
H equals Hours.
Gorans pay is whatever his hours are times 8.
P=H(8)
I hope this helps!
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
I need help plzzzzzzzzzz
Answer: The perimeter of the triangle is 33b - 8
Step-by-step explanation:
Simplify the expression 2(10) + 2(x-4)
Answer:
Hello! :) have a good day!
2x + 12
Answer:
First: Multiply the numbers
2 x 10 + 2 (x -4)
20+2(x-4)
Secondly: Distribute
20+2(x-4)=
20 + 2x - 8
Thirdly: Subtract the numbers
20 + 2x - 8=
12 + 2x
Lastly: Rearrange terms
12 + 2x
2x + 12
And that would leave us with our answer 2x + 12!
round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4
Answer:
the first four terms is 3, 0, -3, -6
4 (w+1) =-6 gsdfnvbsfgbsdfbsdfb
Answer: Hello There!!
w = -5/2
Step-by-step explanation:
4(w+1)=−6
Step 1: Simplify both sides of the equation.
4(w+1)=−6
(4)(w)+(4)(1)=−6(Distribute)
4w+4=−6
Step 2: Subtract 4 from both sides.
4w+4−4=−6−4
4w=−10
Step 3: Divide both sides by 4.
4w/4 = -10/4
Answer:
-10/4
Step-by-step explanation:
4(w+1)=−6
Step 1: Simplify both sides of the equation.
4(w+1)=−6
(4)(w)+(4)(1)=−6(Distribute)
4w+4=−6
Step 2: Subtract 4 from both sides.
4w+4−4=−6−4
4w=−10
Step 3: Divide both sides by 4.
4w/4 = -10/4
Tina buys a briefcase online for 62.95. If shipping and handling are an additional 20% of the price, how much shipping and handling will Tina pay?
Answer:
Tina will pay $12.95 for shipping and handling.
Step-by-step explanation:
Because you literally just have to multiply $62.95 by .2 and you have your answer.
a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9
Answer:
$3
Step-by-step explanation:
45/3=15
15/5=3
describe the graphs of 3x - y = 4 and y = 3x + 2?
Answer:
3X-y=4
3x=4+y
3x-4=y
y=3x-4
Step-by-step explanation:
y=3x+2
y-2=3x
3x=y-2
x=y-2/3
I hope this answer help you
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
-35 = -3x + 8 + 5x
Can someone please help me with this math problem
Answer:
22.5 i think
Step-by-step explanation:
-3x + 8 + 5x = - 35
add like terms
2x + 8 = -35
subtract 8 on both sides
2x = 43
divide by 2
22.5
Answer:
22.5
Step-by-step explanation:
add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help
Pls help me pls pls pls pls pls pls pls pls pls pls pls pls pls ρꪶ 卩ㄥ丂
1+1
Answer:
1+1=2
Step-by-step explanation:
if you have 1 apple and then your friend gave you another apple now you have 2 apples
What is A number y divided by 9 is less than or equal to 17?
Answer:
the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
Please help this is due today!
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
perdita is correct
Step-by-step explanation:
perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin
Pls help I’ll give you branliestttttt
What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.
Answer:
A. [tex] 8x\sqrt{5} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]
Required:
Simplify
[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]
[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]
Add like terms
[tex] 8x\sqrt{5} [/tex]
Solve the following for c: 10c + 12 = - 48
Answer:
c = -6
Step-by-step explanation:
10c + 12 = -48
subtract 12 from both sides
10c = -60
divide by 10 on both sides
c = -6
Answer:
C = -6
Step-by-step explanation:
10c + 12 = - 48
-12 -12
10c = -60
/10 /10
c = -6
PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!
Answer:
B
Step-by-step explanation:
it has a line of 1/12 so every shirt is $12
Find the surface area of the square pyramid shown below.
3
4
units
Pls help ASAP if you can
Answer:
Step-by-step explanation:
area of a triangular face = 0.5×4×3 = 6 square units
lateral area = area of 4 triangular faces = 4×6 = 24 square units
base area = 4² = 16 square units
total surface area = lateral area + base area = 24+16 = 40 square units
Answer:
40
Step-by-step explanation:
40
Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?
Answer:
81 is the scale of the drawing.
Step-by-step explanation:
Hello random person and it would be very helpful if you know this answer!
Write the phrase as an expression.
1. 15 decreased by the product of a number x and 4.
Answer:
4x - 15
hope this helped
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a jack and then selecting a king
The probability of selecting a jack and then selecting a king is _______
(Round to three decimal places as needed)
Answer:
3.25
Step-by-step explanation:
write an equation to represent the following statement. k divided by 11=7. solve for k. k=?
Answer:
77
Step-by-step explanation:
77/11=7
Answer:
k=77 because 77/11 is 7
Step-by-step explanation:
14) x - 27 0
3
X^3-27=0
X^3-27=0
Answer:
For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)
For the bottom, x = 3
Hope this helps! Have a grrrreat day lol
One graph below shows the language arts test scores for students versus the time they spent studying. The other graph shows the language arts test scores versus the spelling test scores for the students.
Answer:
b
Step-by-step explanation:
hope his helped
Answer:
the answer is
B. They both have a positive correlation, but Graph 2 has a stronger association.
Step-by-step explanation: