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 = 461) 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!
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! :)
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.
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
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
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
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
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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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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HELP HELP! Will give brainliest
Answer:
2347897876 my number
Step-by-step explanation:
whats 7 squared ....................................................
Answer:
[tex]49[/tex]
Step-by-step explanation:
[tex]→7×7[/tex]
[tex]→49[/tex]
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
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.
Pleaseeeee helppp thank you!!
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
Which number equals (34)−2?
Answer:
32
Step-by-step explanation:
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
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.
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 .
-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
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
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
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%
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
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=95x-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:
A dance studio has a raffle and sells 125 tickets. Kenton bought 33 of the tickets. What percent of the tickets
does Kenton have?
Sally 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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how do I solve mn + 9 when m= 5 and n= 3 do I multiply?
Answer:
yes u would multiply
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