Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (5x - 10)° and (4x + 5)°, respectively. What is m
15 °
35 °
50 °
60 °

Answers

Answer 1

Answer:

[tex]\bf{50 \degree }[/tex]

Step-by-step explanation:

Given:

[tex]\begin{aligned}&\sf \triangle \ ABC \\&\sf \angle B \ \cong \angle C \end{aligned} [/tex]

Solve for x

[tex]\begin{aligned}&\sf 5x-10=4x+5 \\&\sf 5x-4x=5+10 \\&\sf x=15 \end{aligned} [/tex]

Solve for ∠B

[tex]\begin{aligned}&\sf (5x-10)\degree \\=&\sf \ (5(15)-10)\degree \\=&\sf \ (75-10)\degree \\=&\sf \ 65 \degree \end{aligned} [/tex]

Solve for m

[tex]\begin{aligned}&\sf m=180 \degree -(\angle B + \angle C) \\&\sf m=180 \degree -(65 \degree + 65 \degree ) \\&\sf m=180 \degree - 130 \degree \\&\boxed{\bf{m=50 \degree }} \end{aligned} [/tex]


Related Questions

A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

Inequality: 20.50x + $17.75 ≤ $110

Solve: 4 people can go to the amusement park

Explaination:

Inequality:

$110 = Amount of money they have

$17.75 = Parking Cost

$20.50 = Cost of tickets per person

Because they only have $110, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

20.50x + $17.75 ≤ $110

Solve:

$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)

$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)

$92.25 - $82 = $10.25 (10.25 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.

The area of a rectangle is 360 cm, and the length is 2 cm more than the width Find the width​

Answers

Answer: 18 cm

Explanation:

Let x = width (W)
Let x + 2 = length (L)

Area (A) = L*W
x(x+2) = 360
x^2 + 2x = 360
x^2 + 2x - 360 = 0
(x + 20)(x - 18) = 0
x + 20 = 0
x = -20
^^^ reject because distance can’t be negative
x - 18 = 0
x = 18 (width)

x + 2 = 20 (length)

Check:
A = L*W
360 = 20 * 18
360 = 360

Give the digits in the hundreds place and the tens place.
2,563

Answers

The digit in the hundreds place would be 5.

The digit in the tens place would be 6.

Good luck.

Answer:

hundreds: 5

tens: 6

Step-by-step explanation:

graph the linear function. g(x)=2/5x-3​

Answers

The answer is in the photo below

How do I find length of the third side of all each triangle?​

Answers

Answer:

Refer to the attachment

Find the measure of each angle indicated.

A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°

Answers

Let the missing Angle be " x "

We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,

that is :

x + 80° = 100°

x = 100° - 80°

x = 20°

value of missing angle = 20°

Which of the following statements is not true

Answers

Answer:

The slope of AB is different from the slope of BC is NOT TRUE.

Step-by-step explanation:

AB and BC are on the same straight line, so their slopes are the same.

Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)

Answers

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

PLEASE ANSWER I WILL GIVE A THANKS AND BRAINLIEST!!!<3

Answers

Answer: I HAVENT FINISHED THIS

Step-by-step explanation:

ILL BE BACK

Answer:

Step-by-step explanation:

Not sure if you're being lazy or something these questions are ridiculously easy...

27) f-3

28) j-9

29) m-10

30) d/2

31) x-17

32) 7/18

33) a. 3-s b. 3+d

34) a. r+5 b. e-5

35) a. g-12 b. b+12

36) a. 12+s b. L-12

6 1/2 1/10 pls help it so hard

Answers

Answer:

1/2 x 1/10 = 2/100

1/2 + 1/10 =  6/10

1/2 - 1/10 =  4/10

1/2 divided by 1/10 = 5

Step-by-step explanation:

Kayleigh has 2 apples for every 3 oranges in her fruit basket. If Kayleigh has 15 oranges altogether in her basket, how many apples must she have in her basket?
5 apples 10 apples
25 apples 15 apples

Answers

She will have 10 apples because there is a 2:3 ratio.

Answer:

10 apples.

Step-by-step explanation:

What is the average rate of change from x = 4 to x= 7

Answers

Three the answer is three

ill give brainliest whoever does it right pls fast

Answers

Answer:

1.Train b travels 125 miles in four hours.

2. Train A's speed is 50 mph and train b's speed is 31.25 mph

srry about the last one but i don't know what the answer is since i don't know the choices for it

what is The expression 12+9g-30h factored using the GCF is and btw I already tryed 3

Answers

Hello!

Answer:

3(4+3g-10h)

Step-by-step explanation:

Hope this helps!

The GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

what is GCF?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.

For example, 12, 20, and 24 have two common factors: 2 and 4.

The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

12+9g-30h

Now, to find the GCF we have to factorize the numbers

12= 2 x 2  x3

9 = 3 x 3

30= 2x 3 x 5

So, the Greatest common factor is 3.

Thus, the GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

Learn more about GCF here:

https://brainly.com/question/11444998

#SPJ5

what is the function of f(x)=5•2^x

Answers

Answer:

I have the answer to the problem just not in words, but if you wanna listen to my opinion, I would say Linear

wht is the pie equation

Answers

Answer:  π = c/d

Step-by-step explanation: srry if its wrong im not well at math

The density of an object is calculated using the formula D=m/v where m
is the object's mass and V is its volume. Gold has a density of 19.3 g/cm^3”. What is
the volume of an amount of gold that has a mass of 96.5 g?
*If y’all can do this and show all the work that would be awesome! I have to show work to my teacher in order for her to grade it and I have a D in her class so please help!*

Answers

To find the volume of the amount of gold, rearrange the formula algebraically:

D = m/V
Multiply both sides by V:
D(V) = m/V (V)

DV = m
Divide both sides by D to isolate V
DV/D = m/D

V = m/D (this is the formula needed for volume).

Next, substitute the given values for density and mass:

V = 96.5g/19.3g/cm^3
V = 5 cm^3

Therefore, the volume of an amount of gold that has a mass of 96.5 g is 5 cm^3.

Please mark my answers as the Brainliest, if you find this helpful :)

jorge 5 miles every 8 hours find the unit rate

Answers

Answer:

5 miles = 8 Hrs

X = 1Hr

5 Miles × 1 Hr = X × 8Hrs

5 Miles × 1 Hr = X

8Hrs

5 Miles = X

8

X = 0.625 Miles

so we can conclude that George Travels

0.625 Miles Per Hour or 0.625 M/Hr

find 0.025×1.24 . express your answer in decimal form

Answers

Answer:

0.025

Step-by-step explanation:

Divide the percentage by 100 to convert it to decmals.

for example 20%=

20

100

=.2

30%=

30

100

=

.3

2.5%=

2.5

100

=

.025

ur welcome

Answer:0.03100  

Step-by-step explanation:

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

It would be the third one

x−5/8=2x−1 solve for x

Answers

Answer:

[tex] if \: \frac{x - 5}{8} = 2x - 1) \times 8 \\ x - 5 = 16x - 8 \\ 15x = 3 \\ x = \frac{15}{3} \\ \therefore \: x = 5 \\ if \: your \: quetion \: is \\ x - \frac{5}{8} = 2x - 1) \times 8 \\ 8x - 5 = 16x - 8 \\ 8x = 3 \\ x = \frac{3}{8} \\ try \: to \: use \: brackets \: next \: time[/tex]

Looking at the two terms, 7a4b2c2 and 14abc6, what is the GCF do the coefficients?

Answers

Greatest Common Factor is also shortened as G.C.F . Greatest Common Factor can be used as the greatest or highest number that divides exactly into two or more numbers.

The GCF for the coefficients is 7. Option A is the correct option.

From the question, we are given two terms 7a4b²c² and 14abc⁶

The coefficient for 7a4b²c² = 7

The coefficient for 14abc⁶ = 14

Solving for the GCF,

The factors of 7 are: 1, 7

The factors of 14 are: 1, 2, 7, 14

Then the greatest common factor is 7.

Therefore, the GCF for the coefficients is 7 . Option A is the correct option.

To learn more, visit the link below:

https://brainly.com/question/2052552

Add -2.25 +2.5

Plot the first addend and the sum on the number.


Please quick

Answers

Answer:

.25

Step-by-step explanation:

i do not know what Plot the first addend and the sum on the number. is... sorry

⚠️⚠️Please help⚠️⚠️ Pip and Ali share S785 in the ratio Pip:Ali = 4:1.

Work out Pip's share.

Answers

Answer:   $628

==========================================================

Work Shown:

x = Ali's share

4x = Pip's share, because it is four times bigger due to the ratio 4:1

x+4x = 5x = total amount of money = 785

5x = 785

x = 785/5

x = 157 dollars is Ali's share

4x = 4*157 = 628 dollars is Pip's share

Note that 157+628 = 785 to help confirm the answer.

What is a rational number between 1.4 and 1.6?

Answers

Answer:

Im sure of 1.5

Step-by-step explanation:

None

Answer:

1.6 is a rational number while 1.4 is not

16 and 10 are rational numbers so 1.6 will also be a rational number

√2 is 1.4 while the square of 1.4 is not 2

√2.56 is 1.6 and the square of 1.6 is 2.56

Step-by-step explanation:

PLS MARK BRAINLIEST

Sofia received a payment of $ 145 to take care of her neighbor Carmen's dogs for 5 days. Every day, the neighbor Carmen was paying him 6 dollars more than the day before. How much money did Sofia earn on the third day of work?
it is a problem of equations
please help me

Answers

Answer:

you betrayed me and i know that youll never feel srry

Step-by-step explanation:

What is the slope of the line that passes through the points (8, 4)(8,4) and (20, -4) ?(20,−4)? Write your answer in simplest form.

Answers

I think that the answer is

Y= -0.66x+9.33

The coldest day in ohio clocked in at 40 below zero. In one day though the temperature changed to 20 below zero How much temperature change was there that day

Answers

40 below 0 would be -40 and 20 below 0 would be -20°. So there’s a change of (increase of) 20° that day. It would also make sense if you drew a number line. You would see the interval between -40 and -20 is 20.

Donna sells beaded necklaces. Each large necklace sells for $4.90 and each small necklace sells for $4.40 . How much will she earn from selling 1 large necklace and small necklaces?

Answers

Answer:

9.3$

Step-by-step explanation:

add 4.90 and 4.40 it gives 9.3$

5x + 8 + 3x + 4 = -40 +4

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]5x+8+3x+4=-40+4[/tex]

⇒ Subtract 4 from both sides:

[tex]5x+8+3x+4-4=-40+4-4[/tex]

[tex]5x+8+3x=-40[/tex]

⇒ Combine like terms:

[tex]5x+3x=8x[/tex]

[tex]8x+8=-40[/tex]

⇒ Subtract 8 from both sides:

[tex]8x+8-8=-40-8[/tex]

[tex]8x=-48[/tex]

⇒ Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{-48}{8}[/tex]

[tex]x=-6[/tex]

________________________

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