Answer:
B: 30°, 78°, 72
Step-by-step explanation:
Given a [tex]\triangle ABC[/tex].
Let [tex]\angle A = x^\circ[/tex]
As per question statement, [tex]\angle B[/tex] is 18° more than twice of [tex]\angle A[/tex].
i.e
[tex]\angle B =(2x+18)^\circ[/tex]
[tex]\angle C[/tex] is 42° more than that of [tex]\angle A[/tex]
[tex]\angle C = (x+42)^\circ[/tex]
To find:
The angle measures of the triangle = ?
Solution:
We can use the angle sum property of a triangle here to find the three angles of the triangle.
As per angle sum property, the sum of all the three internal angles is equal to [tex]180^\circ[/tex].
[tex]\angle A + \angle B + \angle C= 180^\circ\\\Rightarrow x+2x+18+x+42=180^\circ\\\Rightarrow 4x+60=180\\\Rightarrow 4x=120\\\Rightarrow x= 30^\circ[/tex]
i.e. [tex]\angle A = 30^\circ[/tex]
[tex]\angle B = 2\times 30 + 18 = 78^\circ[/tex]
[tex]\angle C = 30+42 = 72^\circ[/tex]
Therefore, the correct answer is:
B: 30°, 78°, 72
There is a picture below please help and fill in the blanks.
(NEED HELP)
You buy a cell phone for $95.The sales tax is 6.25%. How much do you pay in all?
Answer:
This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change
Step-by-step explanation:
$95 x 6.25% = 5.9375
So, 95 + 5.9375 = ($) 100.9375 (Answer)
Or ($) 100.1 (Rounded Answer) (1 decimal place)
Stay safe and Merry Christmas! :)
(Help needed ASAP) Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
A)$1,007.00
B)$1,007.86
C)$1,004.00
D)$954.81
Answer:
i think its C....
Step-by-step explanation:
what is the simplest form of 3/2 + 6/5
Answer:
[tex]2\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2}+\frac{6}{5}[/tex]
[tex]=\frac{15}{10} +\frac{12}{10}[/tex]
[tex]=\frac{27}{10} =2\frac{7}{10}[/tex]
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Malachi’s fishing rod to the nearest cent.
Answer:
$3.21
Step-by-step explanation:
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
What is one common misconception students have that prevent them from filing the FAFSA?
Which is the best estimate for the percent that is represented by the shaded portion of the diagram?
A grid model with 8 squares. 3 squares are shaded.
30%
36%
38%
40%
Express (x+7)^2 as a trinomial in standard form.
|x + 8| = |2x + 1| Pls answer.....
karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to alaska. the truck consumed 0.8 liters of fuel for each kilometer driven.
The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x
Given that Karl filled up the tank with 400 liters of fuel initially.
As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.
Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.
It says that the truck consumes 0.8 liters of fuel for each kilometer driven.
Then the linear equation modelling this will be :
y = 400 - 0.8x
The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.
x y
1 399.2
2 398.4
3 397.6
4 396.8 and so on.
The question is incomplete. Find the complete question below:
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).
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What is (6×5-6) +56
Answer:
(6x5 -6) +56
(30-6) +56
24+56
80
Step-by-step explanation:
5. Rochelle needs to pack a picture frame that measures 7 inches
on each side. Will it fit into a box that measures 7.52 inches on each
side? Explain.
Answer:
Yes
Step-by-step explanation:
7.52 inches is bigger than 7 inches
evaluate the expression when c=8 and d=7. d+4c
Answer:
Step-by-step explanation:
d + 4c just replace the d and c with numbers
c is 8 and d is 7
7+32=39
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
Pwease help its just easy math
Answer:
its divided into sixths
What is the difference of the polynomials? (9x^2 + 8) = (2x^2 + 3x)?
Answer:
7x^(2) - 3x + 8
Step-by-step explanation:
(9x^(2) + 8) - (2x^(2) + 3x)
distribute the "-" sign.
9x^(2) + 8 - 2x^(2) - 3x
Now combine like terms; (an "x^(2)" goes with an "x^(2)", not with an "x")
9x^(2) - 2x^(2) -3x + 8
7x^(2) - 3x + 8
Please solve number 5
Answer:
y = 3x + 1
Step-by-step explanation:
Hope this helps!
Can someone explain how to do this?
Answer:
Step-by-step explanation:
The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.
6^2 + 6^2 = x^2
36 + 36 = x^2
x^2 = 72
sqrt(x^2) = sqrt(72)
x = 6√2
Translate (4, -4) to the right 3 units.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
A certain game gives scores between 0 and 5.
Trinity played 6 times and her mean score was 4.5.
Jayden played 4 times. If both players have the same
sum of scores, what was Jayden’s mean score?
Answer:
The mean value of Jayden is 6.75 .
Step-by-step explanation:
Given that the formula for mean is (total sum of scores) ÷ (total number of times). So first, we have to find the total sum of scores that Trinity gets :
[tex] \frac{total \: scores}{6} = 4.5[/tex]
[tex]total \: scores = 4.5 \times 6[/tex]
[tex]total \: scores \: = 27[/tex]
Assuming that Jayden also gets the score of 27 and played only 4 times so we have to find the Jayden's mean value :
[tex]mean = \frac{27}{4} [/tex]
[tex] mean = 6.75[/tex]
Find the 50th term of the following arithmetic sequence.
13, 22, 31, 40,
---
Answer:
454
Step-by-step explanation:
The formula for this arithmetic sequence is: 9n+4
1st term: 9(1)+4 = 13
2nd term: 9(2)+4 = 22
3rd term: 9(3)+4 = 31
4th term: 9(4)+4 = 40
.
.
.
50th term: 9(50)+4 = 450+4
= 454
Simply the equation 3x+1=2x+5
Answer:4
Step-by-step explanation: 3x+1−2x=2x+5−2x
x + 1 = 5
x+1−1=5−1
x=4
Answer:
Simplifying
3x + -1 = 2x + 5
Reorder the terms:
-1 + 3x = 2x + 5
Reorder the terms:
-1 + 3x = 5 + 2x
Solving
-1 + 3x = 5 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-1 + 3x + -2x = 5 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-1 + 1x = 5 + 2x + -2x
Combine like terms: 2x + -2x = 0
-1 + 1x = 5 + 0
-1 + 1x = 5
Add '1' to each side of the equation.
-1 + 1 + 1x = 5 + 1
Combine like terms: -1 + 1 = 0
0 + 1x = 5 + 1
1x = 5 + 1
Combine like terms: 5 + 1 = 6
1x = 6
Divide each side by '1'.
x = 6
Simplifying
x = 6
Answer is 6
I WILL GIBE BRAINLIST TO THE FURST PERSO WHO AN ANSWER PLZ HELP Is 38 over 53 in simplest form? Explain why or why not. If not, write it in simplest form.
Answer: its simplest form, because 53 is a prime number so is not divisible by anything other than itself and 1, and 38 is smaller than 53.
Answer:
It is already in simplest form
Step-by-step explanation:
38 and 53 cannot be further divided
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
O y=-x + 10
O y=-x + 12
O y=-x-10
y = 2 x - 12
Answer:2,-12
Step-by-step explanation:
please help what’s the domain and range
Answer & Step-by-step explanation:
The domain is the x values and the range is the y values.
Domain:
Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:
[tex]domain:x\geq 1[/tex]
x is greater than or equal to 1.
Range:
Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:
[tex]range:y\geq -1[/tex]
the y values are greater than or equal to -1.
:Done
Any tv recommendations..........?
Answer:
I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
Answer:
Step-by-step explanation:
remember that the surface area is
S=2lw+2lh+2hw
S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2
The surface area of the cuboid is 1160 square cm whose dimensions are
l= 20cm, w= 8 cm and h = 15 cm.
Given:
Length = 20 cm
width = 8 cm
Height = 15 cm
So, the formula for Surface area of Cuboid is
= 2(lw+ wh + lh)
Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as
= 2(lw+ wh + lh)
= 2 (20 x 15 + 8 x 15 + 8 x 20)
= 2 (300 + 120 + 160)
= 2 (580)
= 1160 square cm
Learn more about Surface area here:
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The set of all real numbers x that satisfies -3
Answer:
[tex]567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} [/tex]
Step-by-step explanation:
copy that in your paper good luck to you
Answer:
It's False
Step-by-step explanation:
both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.
Basically:
( ) = > <
[ ] = ≥ ≤
Three consecutive integers sum to 36. Which integers are they?
11, 12, 13
Step-by-step explanation:
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