Need to know the following angle
Given:
[tex]m\angle A=(2x-15)^\circ[/tex]
[tex]m\angle B=(x-5)^\circ[/tex]
[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]
To find:
The [tex]m\angle ABC[/tex].
Solution:
In triangle ABC,
[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]
[tex]148=(2x-15)+(x-5)[/tex]
[tex]148=3x-20[/tex]
[tex]148+20=3x[/tex]
[tex]168=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{168}{3}=x[/tex]
[tex]56=x[/tex]
Now,
[tex]m\angle ABC=(x-5)^\circ[/tex]
[tex]m\angle ABC=(56-5)^\circ[/tex]
[tex]m\angle ABC=51^\circ[/tex]
Therefore, [tex]m\angle ABC=51^\circ[/tex].
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
10 cents an ounce♂️♂️
Answer:
10 I believe but I can't remember everything because I learned this like a year ago
Question is on the photo pls help
Answer:
d)-8
Step-by-step explanation:
-6s-¹t²-6(3)-¹(-2)²-6(⅓)(4)-8Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon
Can someone help me do this it’s an emergency
8/11 x (5/9 - 1/6) ÷ 1 5/9
Answer:
28/165
Step-by-step explanation:
You always use the order of operations, and the order of operations says to solve parentheses first, so you would solve 5/9 - 1/6, and get 7/18.
You would do exponents next, if there were any, but there is not, so you move on to the next operation(s).
The next operations are multiplication and division. From left to right, multiplication is first, so you solve 8/11 x 7/18 and get 28/99. Then, there is a division problem to solve. The problem is 28/99 ÷ 15/9. If you solve that correctly, you will get the answer 28/165.
The next step would be to simplify 28/165, but it cannot be simplified, so you are left with the answer 28/165.
PLEEEAAASE HURRY!!!!!
Answer:
I got you its C babes if you need anything else I can help
Answer:
the answer is
[tex]3 \frac{7}{20} [/tex]
Step-by-step explanation:
hope it helps
Someone please help me with this question
It would be in the order it is
Kristen used the expression 82 - 22.2-52, what is the
value of it?
Answer:
the answer to this is 7.8
Help ASAP don't spam please, its about exponents
Answer:
A. FALSE
Step-by-step explanation:
pls mark me as brainliest
Answer: True
Step-by-step explanation:
Find the slope of the line 3,0 and 0,-3
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], this calculates the change in y over the change in x. So plug in the known values [tex]\frac{0+3}{3-0}[/tex], this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.
Who is drinking the fastest
Answer: Caiden
Step-by-step explanation:
For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.
Hope that helped!
Convert the following repeating decimal to a fraction in simplest form.
86
Find the mean and median of 0.55, 2 and 50%
Help!!!!!!!
Explain how the respiratory system exchanges oxygen and carbon dioxide between the air and the cells in the body. Make sure to mention another organ system that works closely with the respiratory system to accomplish this and specifically where in the body these exchanges take place.
Answer:
Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.
Step-by-step explanation:
Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.
Answer:
hope this helps ! <33
Step-by-step explanation:
Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.
What is the surface area of a reactangular prism with the width of 5 length of 3 height of 4
Answer:
Right rectangular prism
Solve for surface area
A=94
l Length 3
w Width 5
h Height 4
Step-by-step explanation:
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You take a taxi for a distance of 4 miles. You paid $6 for the trip Your friend uses the same taxi company to travel 10 miles , and pays 10.50. How much does the taxi company charge per mile, how much is the taxi company’s initial fare?please answer it’s almost due :(((
Answer:
$3 initial fare, 0.75 per mile
Step-by-step explanation:
let x be initial fare, y be per mile
x+4y=6
x+10y=10.50
subtract first from second,
6y = 4.5
y = 0.75
substitute into first equation, x+3 = 6, x=3
Answer:
1.12 dollers per mile
Frogfly2015 avatar
basic fee is 1.52 dollars
Frogfly2015 avatar
15 mile thing is 18.32 dollars
Step-by-step explanation:
trust
is 6.7234724… rational or irrational.
Answer:
rational
Step-by-step explanation:
This could be written as a fraction
Find the distance between 3,4 and 3,9
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
Solve the system of equations.
5x – 4y = -10
y= 2x- 5
X=
y=
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
Annie spent 2.5 hours doing homework. She spent 1/3 of the time on her history project. She spent 3/5 of the remaining time solving math problems. After that, Annie spent all remaining time writing an essay. How much time did Annie spend writing the essay?
Step-by-step explanation:
2.5 hours = 150 min
1/3 of 150 is 50 min, which means she spent 50 min on her history project = 100 min leftover
3/5 of 100 min is 60 min (1 hour) = 40 min leftover
She spent 40 min writing her essay
hope this helps <3
Answer: 40 min or 2/3 an hour
Step-by-step explanation: :)
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
What am I doing wrong (factoring by grouping)
Answer:
it's correct
Step-by-step explanation:
if you multiply out what you got, it equls the original thing
EDIT:
oh right
s^2-9 is s+3 and s-3
You can still get S out of [tex]s^2[/tex] and [tex]2s[/tex] and you can still get 3 out of [tex]-9[/tex] and [tex]3[/tex]. The end result will be [tex]2s^3 + 3s^2-18s-27[/tex]
What is the last digit of 2¹³?
Answer:
2
Step-by-step explanation:
2^13= 8192 and the last digit is 2.
What is the sum of the interior angles of a polygon that has 18 sides
Answer:
The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.
Step-by-step explanation:
Answer:
2880 degrees.
Step-by-step explanation:
The sum of the measures of any polygon is the number of sides minus two multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.
Hope this helps!
Brain-List?
David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?
Answer:
250 + 0.05 (1500)
250 + 75 = $325 david made i a week with 1500 in sales
250 + 0.05(xx) is how much david would make if he sold xx that week
Step-by-step explanation:
i hope this helped :)
A linear function is a function that changes at a constant rate.
David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in salesThe given parameters are:
Flat Salary = $250 weeklyCommission= 5%A linear function is represented as:
[tex]C(x) = b + mx[/tex]
Where:
b represents the y-interceptm represents the slopeSo, we have:
[tex]C(x) = 250 + 5\% \times x[/tex]
Express 5% as decimal
[tex]C(x) = 250 + 0.05 \times x[/tex]
[tex]C(x) = 250 + 0.05x[/tex]
On a sale of $1500, the equation becomes
[tex]C(x) = 250 + 0.05 \times 1500[/tex]
[tex]C(x) = 325[/tex]
Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales
Read more about linear equations at:
https://brainly.com/question/14323743
Tisha wants to plant a garden in the widest corner of her triangular backyard. The backyard is bordered by
the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure?
Answer:
in think it's fence b okm
Last year, the average monthly revenue at the Westford Times newspaper was $54,460.70. This year, the average monthly revenue so far has been $70,798.91. What is the percent of increase in the average monthly revenue?
9514 1404 393
Answer:
30% increase
Step-by-step explanation:
The percentage change can be computed from ...
percent change = ((new value)/(old value) -1) × 100%
= (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%
= 30%
The average monthly revenue increased by 30% from last year.
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
