Answer:
GivenTriangle ABC is right angled at A.
[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]
[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]
To find:
The degree measure of each angle in the triangle.
Solution:According to the given information,
[tex]m\angleA=90^\circm∠A=90[/tex]
[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]
[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]
Now,
[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]
(Angle sum property)
[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘
[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]
9x+126=1809x+126=180
9x=180-1269x=180−126
9x=549x=54
Divide both sides by 9.
[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]
x=6x=6
Now,
[tex]m\angle A=90^\circm∠A=90
∘[/tex]
[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]
∘
[tex]m\angle B=37^\circm∠B=37[/tex]
∘
[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]
∘
[tex]m\angle C=53^\circum \: ∠C=53[/tex]
Therefore,
The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.
Answer:
26°, 108°, 46°Step-by-step explanation:
Assumed the given is:
ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.We need to find the angle measures in degrees.
We know the sum of interior angles is 180:
x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23Find the angle measures:
m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46Sally wants to buy a dishwasher.
The dishwasher costs £384
Sally will pay a deposit of £42
She will then pay the rest of the cost in 6 equal monthly payments.
How much is each monthly payment?
Answer:
£56
Step-by-step explanation:
sadly already payed £42 of the price
so 384-42= 342
now she gonna pay the same amount of money every month from what left to be payed
so 342÷6=56
she gonna pay £56 every month for 6months
Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.
Sadly, I've already saved £42 on the purchase.
=384-42
= 342
She will now make equal monthly payments from the remaining balance.
=342/6
=56
Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.
Learn more about the arithmetic operation here:
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1) Find the value of x
2) Justify your answer by explaining the series of angle relationships used to prove the value of x.
Answer:
65
Step-by-step explanation:
hello dear!
suppose that y and x are the straight line.
as we know that:
115=y (reason: corresponding sides are equal in parallel lines)
now,
y + x= 180(straight angle)
now we keep the value of y i.e. 115
115+x=180
x=180-115
x=65
as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .
so therefore, the value of x = 65°
hope it helps!
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
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You are selling tickets to your school musical. Student tickets cost $2 and general admission tickets are $3. You sell 17 tickets and collect $42 how many of each type of ticket did you sell?
Answer:
9 student tickets and 8 general admission ticketsStep-by-step explanation:
Let the number of student tickets is s and general admission tickets - g.
Set equations and solve:
s + g = 172s + 3g = 42Double the first equation and subtract from the second to eliminate s:
2s + 3g - 2s - 2g = 42 - 2*17g = 8Find s:
s = 17 - 8 = 9Let the student tickerts and general tickets be x and y respectively
x+y=17=>x=17-y2x+3y=42--(2)From (1) put in (2)
2(17-y)+3y=4234+y=42y=8And
x=17-8=9HELP HELP! Will give brainliest
Answer:
2347897876 my number
Step-by-step explanation:
Joe is signing a lease for an apartment that rents for $1800/month. How much will he pay to move in if he must pay the first and last months' rent and a $1000 security deposit?
A. $5000
B. $4600
C. $4500
D. $2800
HURRY PLEASE
What is the equation of the line in slope -intercept form ?
Write your answer using intergers , proper fractions , and improper fractions in simplest form .
how do I solve mn + 9 when m= 5 and n= 3 do I multiply?
Answer:
yes u would multiply
Step-by-step explanation:
Determine which is the better buy.
4 gallons of oil for 9.16$ or 11 gallons of oil for 25.30$
HELP ME PLS
Answer:
4 gallons of oil for $9.16
Step-by-step explanation:
[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]
[tex]4x = 9.16[/tex]
x = $2.29
[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]
11x = 25.30
x = $2.30
A dance studio has a raffle and sells 125 tickets. Kenton bought 33 of the tickets. What percent of the tickets
does Kenton have?
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
In a triangle abc angle a =x and angle b=2x what is the size of angle c
Answer:
∠c = 180 - 3x
Step-by-step explanation:
Triangle interior angles = 180.
Remember this fact:
The sum of the angles of any polygon = (number of sides in the figure - 2)(180)
∠a = x
∠b = 2x
∠c = 180 - 3x
Nick is making a fruit salad. He buys apples for $1,29 per pound and oranges for $1.35 per pound. He spends no more than $12.
Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.
Which inequality represents this situation?
a.) 1.29x + 1.35y > 12 b.) 1.29x + 1.35y≥ 12 c.) 1.29x + 1.35 < 12 d.) 1.29x + 1.35y ≤ 12
Answer:
D 1.29x+1.35y≤12
Step-by-step explanation:
Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.
Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.
1.29x+1.35y≥121.29x+1.35y≥12
1.29x+1.35y>121.29x+1.35y>12
1.29x+1.35y<121.29x+1.35y<12
1.29x+1.35y≤12
PLEASE ANSWER THIS FAST!!!!!!!!!
If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.
PLEASE HELP
Answer:
Step-by-step explanation:
1. 300 square feet
Pleaseeeee helppp thank you!!
WILL GIVE BRAINLIEST TO ANSWER
Answer:
A , D , E
Step-by-step explanation:
Substitute x = 2 into f(x) and check if the result is 4
(a)
f(2) = 2² = 4 ← then f(2) = 4
(b)
f(2) = 2 + 6 = 8 ≠ 4
(c)
f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4
(d)
f(2) = 2² = 4 ← then f(2) = 4
(e)
f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4
Which number is greater?
2.2 or 15/4 (it is a fraction)
Answer:
15/4
Step-by-step explanation:
15 divided by 4 = 3.75
3.75 is greater than 2.2
Answer:
15/4
Step-by-step explanation:
2.2=22/10=44/20<15/4=75/20
Simple math.
Question 11.
Answer: By 9.1%
Step-by-step explanation:
Answer:
8.3333....
Step-by-step explanation:
275/300=1/12
1/12=0.083333...
0.083333...=8.3333%
This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.
-3x-2=
-3x-2=
-3x1.5=
-3x3=
Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
To gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410 equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10% of the plots. 13 a. Explain how you would use a random number generator to choose an SRS of 141 plots. Your description should be clear enough for a classmate to carry out your plan. b. Use your method from part (a) to choose the first 3 plots.
To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;
Total number of plots = 141010% of total = 0.1 × 1410 = 141 plotsA.) Using python 3 to generate a random sample of 141 plots :
import random
#import the random module
random_sample = random.sample(range(1410), 141)
#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410
print(random_sample)
#display the randiy selected plots which is 10% of the total
B.) Choosing the first three plots using the method described in (A)
first_3 = random_sample[:3]
#from the 141 random samples, use list slicing to select the first three plots from the sample
print('\n The first 3 plots are : ' , first_3)
#display the first three sample plots selected.
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Which number equals (34)−2?
Answer:
32
Step-by-step explanation:
whats 7 squared ....................................................
Answer:
[tex]49[/tex]
Step-by-step explanation:
[tex]→7×7[/tex]
[tex]→49[/tex]
Please help I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
Garden is in the shape of triangle.
[tex]Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}[/tex]
Drive way:
length = 4 + 10 = 14m
Width = 3 m
Area = length * width = 14 * 3 = 42 sq.m
Perimeter of the property:
Length = 14 m
Width = 3 + 9 + 6 = 18 m
Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m
5x-13=4x-14
help
please
I really neeed iit
Answer:
5x−13=4x−14
Subtract 4x from both sides.
5x−13−4x=4x−14−4x
x−13=−14
Add 13 to both sides.
x−13+13=−14+13
x=−1
Answer:
x=1
Step-by-step explanation:
Find the slope of the line
(15,18) (6,12)
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )
m = [tex]\frac{12-18}{6-15}[/tex] = [tex]\frac{-6}{-9}[/tex] = [tex]\frac{2}{3}[/tex]
Remember, when finding the slope, use this formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
We can start by labeling (15, 18) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and (6, 12) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now, we can plug these number into the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}[/tex]
Thus, the slope of the line is [tex]\frac{2}{3}[/tex]. Hope this helps! Let me know if you have any questions related to this problem.
Which segments are parallel?
Select each correct answer.
O EF
O AB
O GH
O CD
Answer:
EF ║ CD and AB ║ CD are the parallel segments.
Step-by-step explanation:
The given question is incomplete without picture; here is the picture attached with the answer.
Since m∠A = m∠D = 42°
Therefore, AB ║ CD and segment AD is the transverse.
Now ∠AEF + ∠IEF = 180° [Supplementary angles]
138° + ∠IEF = 180°
∠IEF = 180 - 138
= 42°
∠IHG + ∠DHG = 180° [ Supplementary angles ]
∠IHG + 122 = 180
∠IHG = 180 - 122
∠IHG = 58°
But ∠IEF ≠ ∠IHG
Therefore, EF and GH are not parallel.
If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)
But ∠IHG ≠ ∠IAB
Therefore, AB and GH are not parallel.
Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]
which reveals that EF ║ CD
Therefore, EF ║ CD and AB ║ CD
5 miles in 1 1/2 hours unit rate
Answer: 3.33 miles/hr
Step-by-step explanation:
(5 miles)/(1.5 hr) = 3.33 miles/hr
Help me please this is due please help
Answer:
2.8in^2
Step-by-step explanation:
3.2 * 0.875 = 2.8
Hello there!
To find the area of this rectangle, we must multiply the length times the width:
A=[tex]3\frac{1}{5} *\frac{7}{8}[/tex]
Let's convert the mixed number into an improper fraction:
[tex]\frac{16}{5} *\frac{7}{8}[/tex]
Do you see what I see?
16 and 8 can be reduced. Divide by 8:
[tex]\frac{2}{5} *\frac{7}{1}[/tex]
Now multiply:
[tex]\frac{14}{5} \\[/tex]
Hope it helps you!
#HaveAnAmazingDay
~Just a joyful teen
[tex]GraceRosalia :)\\****************************************\\Comment:[/tex]
If my answer was helpful, please mark Brainliest! :)
what is this number in standard form:
(3 x 100)+(1 x 1/10)+(4x 1/1,000)
?????????????
pls help
Answer:
300.104
Step-by-step explanation:
3x100=300
1x(1/10)=0.1
4x(1/1,000)=0.004
300+0.1+0.004=300.104