Answers
The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
Related Questions
Has a slope of 4 and passes through (-2, 4)
Answers
Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
m = slope = 4
substitute the point (-2, 4) as (x, y)
4 = 4(-2) + b
4 = -8 + b
12 = b
Hope this helps! Pls give brainliest!
The equation of line is y= 2x+ 8.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Slope= 2
and, Passes through (-2, 4)
So, using the slope- intercept form is
y= mx+ b
4 = 2(-2)+ b
4 = -4 + b
b=8
And, the equation of line is
y= mx+ b
y= 2x + 8
Hence, the equation of line is y= 2x+ 8.
Learn more about slope here:
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The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?
Answers
Answer:
18 gallons
Step-by-step explanation:
We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.
2/3 = 4/6
1/2 = 3/6
4/6 - 3/6 = 1/6
1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.
3 * 6 = 18 gallons
Checking my answer:
18 * 2/3 = 6 * 2 = 12
12 - 3 = 9
1/2 of 18 = 9
This means that our answer is correct.
Help marking brainliest for who is right
Answers
Answer:
-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2
Step-by-step explanation:
What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME
Answers
Answer:
-56
Step-by-step explanation:
Equation = 7x( 3 + x/4)
f(x) = 7x( 3 + x/4)
f(-8) = 7( -8 )( 3+ -8/4 )
f(-8) = -56 ( 3+ ( - 2 ))
f(-8) = -56( 1 )
f(-8) = -56
-Chetan K
Find an expression which represents the difference when (-9x +9) is subtracted
from (x + 8) in simplest terms.
Answers
Answer:
10x - 1
Step-by-step explanation:
(x + 8) - (-9x + 9) = x + 8 + 9x - 9 = (x+9x) + (8-9) = 10x -1
The equivalent Expression is (10x- 1).
What is Expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
For example, A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
Given:
We have to find the difference when (-9x +9) is subtracted from (x + 8)
so, (x + 8) - (-9x + 9)
= x + 8 + 9x - 9
= (x+9x) + (8-9)
= 10x -1
Hence, the equivalent Expression is (10x- 1).
Learn more about Expression here:
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Please answer this math riddle for me ASAP!!! please
I am a four-digit number. My first number has no use because the number would be the same without it. My second and third numbers are mirror images and my fourth number is half of my second number.
Answers
Answer:
0884
Step-by-step explanation:
Help if so OMH thanks
Answers
Answer:
$2.80
Step-by-step explanation:
24.40-13.20=11.20
11.20/4=2.8
solve pls brainliest
Answers
2-36
1- 168(original altitude)
+360(because the question says the hill is ______ 360 feet higher than checkpoint 2)
192
2- 168(checkpoint 2)
-132( checkpoint 4)
______
036
Solve for x: 8 (3x + 10) = 28x - 14 - 4x
Answers
Answer:
[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]
Please he.l I got 10 min
Answers
Answer:
B
Step-by-step explanation:
the line pass through the point (2.52) and (14.78)
So k= 78-52 =26 =
4-2 =2
The Student Council is selling raffle tickets to raise money for the Winter Dance. They have a total of 275 tickets to sell and are told they must sell at least 82% of them to raise enough money. How many do they need to sell?
Answers
Answer:
226
Step-by-step explanation:
To find the percentage of a given value, firstly convert to a decimal by dividing by 100:
82 ÷ 100 = 0.82
Now, multiply this decimal by the number of tickets:
275 x 0.82 = 225.5
Because you can't sell half a ticket, round up.
This means the total of tickets they need to sell is 226.
Hope this helps!
what is the total with tax? price? $62.79 tax 9.5 percent
Answers
Answer:
$68.76
Step-by-step explanation:
price: $62.79
tax percent: 9.5%
total with tax : $62.79 + 9.5% of $62.79
= $68.755
someone please help with this question for brainliest !!!!:)
Answers
Answer:
d)
Step-by-step explanation:
the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.
our r here is -1 to get x + 1.
f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2
the remainder is -2.
and since the remainder is <> 0, the binomial cannot be a factor.
someone plzzzzzzz help me will make brainlest
Answers
Answer:
[tex]31\frac{2}{3}[/tex]
Step-by-step explanation:
Hope this helps.
Have a great day!
9514 1404 393
Answer:
31 2/3
Step-by-step explanation:
No doubt you have been shown at least a couple of different strategies for multiplying mixed numbers.
1) Use the distributive property.
10(3 1/6) = 10(3) +10(1/6) = 30 +10/6 = 30 +5/3 = 30 + 1 2/3 = 31 2/3
__
2) Use improper fractions.
10(3 1/6) = 10(19/6) = 190/6 = 95/3 = 31 2/3
A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m
Answers
Answer:
D. 73.48 m.
Step-by-step explanation:
The diagonal distance across the meadow
= √(30^2+30^2)
= √1800
tan 60 = h / length of the diagonal (where h = height of the pillar).
h = √1800 * tan 60
= 73.48 m
The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m
Angle of elevation and depressionThe angle situated below the pillar is known as the angle of elevation
Determine the diagonal distanceThe diagonal distance across the meadow is calculated using the Pythagoras theorem:
l = √(30^2+30^2)
l = √1800
tan 60 = h/l
where h = height of the pillar
h = √1800 * tan 60
h = 73.48 m
Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m
Learn more on angle of elevation here: https://brainly.com/question/25748640
marked at a regular price of $20. What is the percent decrease in the price
A pair of sunglasses is on sale for $17. Last week, the sunglasses were
of the
sunglasses?
Answers
Answer:
15%
Step-by-step explanation:
20-17 = 3
What percent is 3 of 20?
X/100 = 3/20 (cross multiply)
(3*100) / 20 = 15%
help please i need help on this
Answers
See the photo attached for the solution.
trying to figure this out
Answers
How many solutions exist for the mixed-degree system graphed below?
Answers
Answer:
(c) part two is correct ans.
Step-by-step explanation:
mark me as a brainlist plz.
Like nobody is helpping me i been postting the same questions alot of time what are you doing yall want to to answer what yall want to answer i post the easy question that yall can and it ju0st like. who ever want to help there are questions on my page they are easy im telling you! 50 pts for who ever do and brainliest
Answers
Answer:
Sure if they are not too hard
Step-by-step explanation:
4 (m + 7) Which expression(s) is (are) equivalent to ? Select ALL that apply.
Answers
Answer:
here's your answer tho: ∞
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND 100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
he following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.
Which of the following data sets is represented in the histogram?
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
Answers
Answer:
will this help?
Answer:
A.
Step-by-step explanation:
5) What is the slope of the line?
50 POINTS PLS HELP ASAP AND THANK YOU
Answers
Answer:
The answer is C.
State the domain and range and determine if the relation is a function
Answers
Answer:
DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.
Step-by-step explanation:
The domain of the relation is the set of points in A which have a tail connected to it. That is {3, 4, 5, 6, 7}.
The range of the relation is the set of points in B which have a tip connected to it. That is {2, 1, 9, 12}.
Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.
Please answer both of the question in the photo plsss
Answers
Answer:
-12
-18
Step-by-step explanation:
-n+8=20
-n=20-8
n=12
-36=n-18
-n=-18+36
n=-18
What is the domain of the graph
Answers
Answer:
it D
Step-by-step explanation:
To save for retirement at age 27 you start depositing $275 at the end of each month in an IRA that pays 5.75% compounded monthly.
How much will you have in the IRA if you plan to retire at 65?
I need also to find the interest.
Answers
Answer:
81972
Step-by-step explanation:
Help this help
Using 1 Ib = 0.45 kg, answer the following questions:
5. A woman buys 2 kg of tomatoes. How many pounds of tomatoes does she buy?
6. Butter is packed in 250 g packs. What will the mass, in pounds, of a pack of butter?
7. A shopper buys 5 Ib of apples. How many kilograms of apples are purchased?
8. A consignment of steel weighing 5 tonnes is delivered to a factory; how many tons of steel are
delivered? (Note: 1 tonne = 1000kg) (metric unit) and (1 ton = 1016 kg)
Answers
Answer:
Step-by-step explanation:
2 kg / 0.45 = 4.4 lb
0.25 kg / 0.45 = 0.56 lb
5 lb * .45 = 2.25 kg
5000 / 1016 = 4.92 ton
What number is 7 times as much
as 9?
Answers
Answer:
63
Step-by-step explanation:
9•7=63
The area of a square equals the square of a length of the side of the square. The perimeter equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65 while the difference in their areas is 33. Find the sum of their perimeters.
The sum of the perimeters is [x]
Answers
Answer:Each side of x would be 7 and each side of y would be 4.
Step-by-step explanation: