Answers
Answer:
x = 35
Step-by-step explanation:
The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...
angle DPE = angle BPA . . . . vertical angles have the same measure
125° = 90° +x°
35 = x . . . . . . . . . . divide by °, subtract 90
Related Questions
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answers
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equation representing the given statement is ~
[tex]50x + 330 \geqslant 820[/tex]The least number of lawns that he can cut and buy the computer is 10 lawns ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Total savings should be greater or equal to $ 820 in order to buy the computer,
And his total savinga is equal to ~
Money he saved + money got from cutting lawns.
let's assume the lawns cut by Tyrod be x,
Money earned by cutting lawns is equal to
total number of lawns cut × $5050xtotal savings is equal to ~
330 + 50xhence,
[tex]50x + 330 \geqslant 820[/tex]by solving for " x (number of lawns cut) " we get ~
[tex]50x \geqslant 820 - 330[/tex][tex]50x \geqslant 490[/tex][tex]x \geqslant 490 \div 50[/tex][tex]x \geqslant 9.8[/tex]Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is
[tex]10[/tex]Triangle JKL has the following measures:
Side JK = 4 cm
Side KL = 7 cm
Angle J = 38°
Triangle PQR has the following measures:
Side QR = 7 cm
Side PQ = 4 cm
Angle Q = 38°
Which statement is accurate about triangles JKL and PQR?
A. They are not congruent
B. They are based on AAS criteria
C. They are based on SSS criteria
D. They are based on SAS criteria
Answers
The triangles are not congruent.
Option A is correct.
SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?
Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths
Answers
Answer:
It's the first one. Why?
I converted all the mixed fraction into simplified form.
3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] + [tex]\frac{5}{7}[/tex]
I divided the denominator of 11/3 by 42. 42/3=14
and 5/7. 42/7, which is 6.
So I concluded the first answer was right because it didn't work out for the other variables.
I hope the answer was right, and I hope you have a great day luv. Bye!
A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.
True or False: The equation below can be used to solve the problem.
c = (5 x 4) + (3 x 8) + 30
Answers
Answer:
I'm past that level of math. Here's the answer:Letter B
Step-by-step explanation:
Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?
Answers
Answer:
4in
Step-by-step explanation:
The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.
Perimeter of rectangle ABCD = 24 inch
Perimeter of rectangle EFGH = 48 inch
The ratio of perimeters of rectangle ABCD to EFGH will be :
= 24 : 48
= 1 : 2
It is also given that the width of rectangle ABCD is 2 inch.
Perimeter of triangle ABCD is :
P = 2 ( L + B )
24 = 2 ( L + 2)
L + 2 = 12
L = 10 inch
The area of rectangle ABCD will be :
= 10 × 2
= 20 inch²
As the perimeters of ABCD and EFGH are in ratio 1 : 2.
The area of rectangle EFGH will be :
= 20 × 2
= 40 inch ²
Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².
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What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25
Answers
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the diagonal ( hypotenuse ) be d , then
d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )
d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E
Teacher Kaye is saving ₱2,000 every month by depositing it in a bank that gives an interest of 1% compounded quarterly. How much will she save in 5 years?
Answers
Answer:
1,23,098
Step-by-step explanation:
............
Find the measure of the exterior angle.
Answers
Answer:
125
Step-by-step explanation:
75 + 50
please help me with this question!!
Answers
Answer:
Step-by-step explanation:
9/50 // 12 / 1 You have a 4 tier fraction here. You must invert the denominator (12/1) and multiply
9/50 * 1/12 Cancel 3 in the 9 and 3 in the 12
3/50 * 1 / 4 Multiply the numerators together and the denominators together.
3 / 200 each bottle with have 3/200 L or 1.5 / 100 L syrup in it.
1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.
What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?
Answers
Answer:
The radius is 4.7 units.
Step-by-step explanation:
To answer this we need only find the square root of 22.09: 4.7
The radius is 4.7 units.
One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answers
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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What is 0.375 as a whole percent?
Answers
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
5. Which pair of trig functions are equivalent?
(20 Points)
sin 23. sin 67
cos 41. sin 41
cos 58, sin 122
cos 76, sin 14
WILL MAKE BRAINLIEST IF CORRECT <3
Answers
Answer: cos(76°) ---> sin(14°)
Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.
Answers
Answer:
$160.16
Step-by-step explanation:
Well first you need to find 12% of 143.
100%=143
10%=14.3
2%=2.86
12%=17.16
Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.
Please see help, please
Answers
Answer:
69
Step-by-step explanation:
420
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
Answers
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
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How do I solve this :
3x + y= 1 and x - 2y = 5
Answers
Answer:
(1,-2)
Step-by-step explanation:
x - 2y = 5
3x + y= 1 (1)
x - 2y = 5
x = 5 + 2y (2)
Substitute (2) into (1)
3x + y = 1
3(5 + 2y) +y = 1
15 + 6y + y = 1
15 + 7y = 1
7y = 1 - 15
7y = -14
y = -2 (3)
Plug (3) into (1) to find x
3x + y = 1
3x + (-2) = 1
3x - 2 = 1
3x = 3
x = 1
(1,-2)
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answers
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
What is the standard form of this expression?
(1 + 71i)(3 - i)
Answers
the standard form of this expression is
(72+3)(-i)
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answers
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
I'M CONFUSED can anyone explain how to solve/do this ?
Answers
Answer:
The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train. As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.
Step-by-step explanation:
6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?
Answers
Answer:
$20
Step-by-step explanation:
Money paid with surcharge by 6 friends = $ 186
Money paid with surcharge by a friend = 186 ÷ 6 = $ 31
Money paid by each friend without surcharge = 31 - 11 = $ 20
What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.
Answers
At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.
The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets
Answers
Answer:
180 food tickets and 350 ride tickets
Step-by-step explanation:
The number of food tickets sold is 180 and ride tickets is 350.
In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.
2x + 3y = 1240 equation 1
x = 2y – 10 equation 2
Substitute for x in equation 1
2(2y -10) + 3y = 1240
4y - 20 + 3y = 1240
Combine similar terms
7y = 1240 + 20
7y = 1260
Divide both sides of the equation by 7
y = 1260 / 7
y = 180
Substitute for y in equation 1
2x + 3(180) = 1240
2x + 540 = 1240
2x = 1240 - 540
2x = 700
x = 700 / 2
x = 350
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
12÷5/2=
Tell the answer quick!!
Answers
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
solve pls brainliest
Answers
Answer:
$6.75
Step-by-step explanation:
try try serving it's ok glad to help
need help please 100 pts
Answers
Hope this helps
Answer:
b)
Step-by-step explanation:
Can someone help me out with this please
Answers
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
Type the expression that results from the following series of steps:
Start with z and add 5.