In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°
There will be an extention at the vertex

Answers

Answer 1

Answer:51.14

Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360

2x+5+5x-3=360

7x+2=360

7x=358

x=51.14

Answer 2

The measure of each angle is 31, 31 and vertex angle is 118.

What is Exterior angle Property?

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

Given:

Base angle = (2x+ 5) and Vertex = (5x- 3)

So, We know that the exterior angle is equal to sum of opposite interior angle

5x- 3 = 2x+ 5 + 2x + 5

5x - 3= 4x + 10

x= 13

Thus, Each angle measure 2(13)+ 5 = 31 and

third angle = 180 - (5x- 3) = 180- 62 = 118

Hence, the measure of each angle is 31, 31 and vertex angle is 118.

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Related Questions

9.
Which linear equation is represented by the data in the x,y table? BE
CAREFUL ON THIS QUESTION, look carefully at how the x values are growing in the table.
X
y
0
1
2
5
4
9
6
13

Answers

Answer:corvette correct

Step-by-step explanation:

2(x+6)=-36 2(x+6)=-36 2(x+6)=-36 2(x+6)=-36

A map uses a scale of 0.5 cm = 75 km
50 km=__cm
280 km =__cm
142.5 km=__cm

Answers

Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

What is the value of x in the equation 3-2x--15x?

6
2
2
6

Answers

Consider the given equation is [tex]3-2x=15[/tex] and one of the 6 in the options is -6.

Given:

The equation is

[tex]3-2x=15[/tex]

To find:

The value of x.

Solution:

We have,

[tex]3-2x=15[/tex]

Subtracting 3 from both sides, we get

[tex]3-2x-3=15-3[/tex]

[tex]-2x=12[/tex]

Divide both sides by -2.

[tex]x=\dfrac{12}{-2}[/tex]

[tex]x=-6[/tex]

Therefore, the value of x is -6.

3 lbs, 7 ounces = ____ ounces

Answers

Answer:

one pound is equal to 16 oz

(3x16= 48)

(48+7=55)

55 ounces

55 ounces


hope this helpssssss

Complete the division sentence.
5 ÷______ = 15

Answers

Answer:

1 by 3 could be your answer

The answer is 0.3333333

Help me pls I beg you pls help me need answer I’m around 10 mins pls helpASAPP

Answers

Answer:

-1, 1, 3, 5, 7, 9

Just replace x in the equation y=2x+3 with the values given in the question

should i restart my cumputer to see if my khan % will go up if i keep getting 100 on my work

Answers

Answer:

whats you mean

Step-by-step explanation:

Answer
I believe refreshing your page would be enough

6. A glider descends 240 meters in 12 seconds. What is the average change in
elevation per second?

Answers

Answer:

20 meters per second

Step-by-step explanation:

240/12

Answer: The average change in elevation per second is -20 meters.

Step-by-step explanation: If a glider descends 240 meters in 12 seconds, then it descends 20 meters in one second. However, because the glider is descending, then the value and slope of change must be negative.

Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?

Answers

Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

10 A daycare serves apple slices to children at lunchtime. The table below shows how
many apples were cut up and served each day of the week in relation to the number
of children in attendance.
M
T
W
Th F
Children 24
30
28
26
19
Apples
18
20
21
18
10
Is there a proportional relationship between the number of children and the number
of apples in this situation? Explain your answer and provide the constant of
proportionality if there is one.

Answers

Answer: No, there isn't a proportional relationship.

Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.

Answer:

3:2 is the proportional relationship

Step-by-step explanation:

Which decimal has the greatest value?
A. 0.009

B. 0.019

C. 0.0099

D. 0.02​

Answers

Answer:

Answer: D

Step-by-step explanation:

Answer:

D.0.02

Step-by-step explanation:

D is the least number so that means its closer to 0. the higher the negative number goes the further away it gets from 0.

every 5 months, hal has to replace the batteries in his calculator. he changed them the first time in may. in what month will they be changed the 25th time?

Answers

The 25th battery replacement will occur in October.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.

[tex]\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}[/tex]

From the amount of months we can calculate the amount of years that will pass.

120 months x  (12 months/ 1 year ) = 10 year

Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.

That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.

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Marty and Ethan both wrote a function, but in different ways.

Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Ethan

A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.

Whose function has the larger slope?

Answers

Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Writing in mathematical form: [tex]y+3=\frac{1}{3}(x+9)[/tex]

Marty has written expression in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope [tex]m=\frac{1}{3}\:or\: 0.3[/tex]

Now, Ethan has a table

x        y

-4      9.2

-2      9.6

0       10

2       10.4

We can find slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using any two points, we can find slope of Ethan's equation

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2[/tex]

So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

Answer:

C

Step-by-step explanation:

What is the value of n? 3n - 4 = 10

Answers

Answer:

4 and 2 thirds or 4 2/3 <mixed number

Step-by-step explanation:

4+10=14

14/3n=4.666 repeating decimal or just 4 2/3

The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019?
A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02

Answers

Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

What is the solution of x/3 - 5=4? Justify each step.

Answers

Answer: x=27

Step-by-step explanation: hope this helps!

I need help it is a multiple Choice question

Answers

Answer:

6 m

.006 km  

6,000 mm

Step-by-step explanation:

Let's look at some conversions real quick:

1 cm --> 10 mm (multiply cm by 10)

1 cm --> 0.00001 km (divide cm by 100000)

1cm --> 0.01 m (divide cm by 100)

Now that this is laid out, lets do these conversions for 600 cm.

Meters (m) = 600/100 = 6 meters

Kilometers (km) = 600/100000 = .006km

Millimeters (mm) = 600 * 10 = 6,000 mm

I hope this helps!!

- Kay :)

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $5.50 per hour. Waitress B is offering her services for an initial $24 in addition to $4.50 per hour. When will the two waiters charge the same amount of money?

Answers

Answer:

The indifference point is 4 hours.

Step-by-step explanation:

Giving the following information:

Waiter A:

Fixed cost= $20

Unitary variable cost= $5.5 per hour

Waiter B:

Fixed cost= $24

Unitary variable cost= $4.5

First, we structure the total cost formula for each waiter:

Waiter A= 20 + 5.5*x

Waiter B= 24 + 4.5*x

x= number of hours

Now, we equal both formulas and isolate x:

20 + 5.5x = 24 + 4.5x

1x = 4

x= 4

The indifference point is 4 hours.

Prove:

Waiter A= 20 + 5.5*4= $42

Waiter B= 24 + 4.5*4= $42

The ratio of a screen's width to its height is 3:2. The height of the screen is 24 cm. What is its width in centimetres (cm)?​

Answers

3:2 = 1.5:1

24 x 1.5 = 36cm

Answer:

36 cm

Step-by-step explanation:

3:2 = ?:24

24 / 2 = 12

12 * 3 = 36

Width = 36

What is 15% of 60? using a double number line

Answers

Answer:

9

Step-by-step explanation:

60 × 15%

= 60 × 0.15

= 9

Answer:

Step-by-step explanation:

15*60=900/100

9

The maximum number of running shoe inserts that can
be produced is
At possibility B, pairs of running shoe inserts can
be produced
At possibility D, pairs of hiking boot inserts can
be produced.

Answers

Answer:

15 12 6

Step-by-step explanation:

edg

CAN ANYONE HELP?! please

Answers

A.
initial; line starts at 1 on the x axis
rate of change = slope = 3/5

For ride sharing services, Uber charges $5 for the first mile and $1.20 each additional mile. Lyft charges $7 for the
first mile and $0.95 for each additional mile. What is the equation to show how many miles will it take for the cost to
be the same?

Answers

Answer:8 miles

Step-by-step explanation:

what is the slope between (4,-17), (-20,-1)?

Answers

the slope between those points is -2/3
the slope of those points is -2/3

Which of these is an example of driving at an average rate of 20 miles per hour?

A. driving 10 miles in 2 hours.

B. driving 15 miles in 5 hours.

C. driving 25 miles in 5 hours.

D. driving 40 miles in 2 hours.

Answers

Answer:

D

Step-by-step explanation:

40/2=20

Answer:

give the other guy the thing

Step-by-step explanation:

How much is 2+45/6? ​

Answers

Answer:

The correct answer to 2+45/6 is either 9.5 or 9 1/2.

Step-by-step explanation:

In order to solve 2 + 45/6, we need to turn the fraction into a decimal (by dividing the numerator by the denominator) and/or a mixed number (by dividing the numerator by the denominator, and marking the rest)

Step 1: Convert fraction into decimal/mixed number:

45/6 or 45 ÷ 6 = 7.5

45/6 = 7 3/6 or 7 1/2

Step 2: Add two to Both the decimal/mixed number:

7.5 + 2 = 9.5

7 1/2 + 2 = 9 1/2

Therefore, 2+45/6 is either 9.5 or 9 1/2.

Hope this helps! :D

Free Branliest
Answer please I LONELY PLS GUYS PLEASE

Answers

Answer:

Hello. How's your day been so far?

Step-by-step explanation:

Answer:

Ya

Step-by-step explanation:

Im having trouble figuring this out, please help!
Triangle STU with vertices
S(-15, -3), I(-12, -15). and U(0, -9):
k= 1/3

Answers

Scale factor is 1/3
Divide each coordinate by 3

S’ = (-15/3, -3/3) = (-5, -1)
T’ = (-12/3, -15/3) = (-4, -5)
U’ = (0/3, -9/3) = (0, -3)

pyramid q has a rectangular base and a volume of 96 cubic inches. pyramid r has a rectanglular base that is one-half the base area of pyramid q and a height that is 3 times the height of pyramid q. what is the volume of pyramid r?

Answers

The volume of pyramid R is 144 cubic inches.

We have to find the dimensions of pyramid Q using the given information:

Volume of pyramid Q = 96 cubic inches

The volume of a pyramid is given by the formula:

Volume = (1/3) * base area * height

Since pyramid Q has a rectangular base, let's assume its base has dimensions length (L), width (W), and height (h).

Volume of pyramid Q = (1/3) * (L * W) * h

We are given that the volume of pyramid Q is 96 cubic inches:

96 = (1/3) * (L * W) * h

Now, let's move on to pyramid R:

Base area of pyramid R = (1/2) * base area of pyramid Q

Base area of pyramid R = (1/2) * (L * W)

Height of pyramid R = 3 * height of pyramid Q

Height of pyramid R = 3 * h

Now, we can calculate the volume of pyramid R using the same volume formula:

Volume of pyramid R = (1/3) * (base area of pyramid R) * (height of pyramid R)

Volume of pyramid R = (1/3) * ((1/2) * (L * W)) * (3 * h)

Volume of pyramid R = (1/2) * (L * W) * (h)

We know that the volume of pyramid Q is 96 cubic inches,

so (L * W) * h = 96*3 = 288.

Now, let's substitute this value into the formula for the volume of pyramid R:

Volume of pyramid R = (1/2) * 288

Volume of pyramid R = 144 cubic inches

So, the volume of pyramid R is 144 cubic inches.

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Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?

Answers

I think 12.5 hours i hop i am right

Answer:

6hours

Step-by-step explanation

2 2/5 / 1/5 = 12 or 2.4 / .2 = 12

1/2 * 12 = 6

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