∠A and ∠B form linear pair. If m∠A =(6x-19)° and m∠B=(11x-22)°, find m∠B.
Answer: 121°
Step-by-step explanation:
The measure of angle B will be [tex]121^0[/tex] .
What is angle?Angle is formed by two rays lie in the plane that contains the rays.
We have,
[tex]m \angle A =(6x-19)^0[/tex]
Now,
Linear pair angles are those angles whose sum is [tex]180^0[/tex] .
i.e.
[tex]m \angle A + m \angle B=180^0[/tex]
So,
[tex](6x-19)^0 +(11x-22)^0 =180^0[/tex]
Now,
[tex]17x-41=180[/tex]
[tex]17x=221[/tex]
[tex]x=13[/tex]
So,
[tex]m\angle B=(11x-22)^0[/tex]
Putting value of x;
[tex]m\angle B=(11*13-22)^0[/tex]
[tex]m\angle B=(121)^0[/tex]
So, measure of angle B is [tex]121^0[/tex].
Hence, we can say that the measure of angle B will be [tex]121^0[/tex] .
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PLZZ HELP I AM GOING TO FAIL ( THIS WORTH 29 POINTS)
Kwame and Karen both deposited $2 000 in separate savings accounts.
Kwame's bank pays 3.1% simple interest.
Karen's bank pays 2.7% interest compounded annually.
What will be the combined balance of their accounts after 4 years?
Answer:
2248+2224.91= 4472.91
Step-by-step explanation:
A = $2,248.00
I = A - P = $248.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.1%/100 = 0.031 per year.
Solving our equation:
A = 2000(1 + (0.031 × 4)) = 2248
A = $2,248.00
The total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 3.1% per year for 4 years is $2,248.00.
A = $2,224.91
A = P + I where
P (principal) = $2,000.00
I (interest) = $224.91
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.7/100
r = 0.027 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,000.00(1 + 0.027/1)(1)(4)
A = 2,000.00(1 + 0.027)(4)
A = $2,224.91
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 2.7% per year compounded 1 times per year over 4 years is $2,224.91.
PLEASE HELP ME !! WHO EVER GETS IT RIGHT GETS BRAINLIEST
Answer: the answer is C
Answer: A. [tex]4x^{2} +4x-3+\frac{3}{5x-5}[/tex]
Hope this helps.
Find measure FGH circles unit
Answer:
[tex] \huge \orange{m\widehat {FGH} =238\degree} [/tex]
Step-by-step explanation:
Quadrilateral AFGH is inscribed in a circle. So, it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.[tex] \therefore m\angle FGH + m\angle FAH = 180\degree [/tex]
[tex] \therefore (21x-2)\degree + (38x +5)\degree = 180\degree [/tex]
[tex] \therefore (21x-2+38x +5)\degree = 180\degree [/tex]
[tex] \therefore 59x+3= 180[/tex]
[tex] \therefore 59x= 180-3 [/tex]
[tex] \therefore 59x= 177 [/tex]
[tex] \therefore x= \frac{177}{59}[/tex]
[tex] \therefore x=3[/tex]
Now, by inscribed angle theorem:
[tex] m\angle FAH = \frac{1}{2} m\widehat {FGH} [/tex]
[tex] (38x +5)\degree = \frac{1}{2} m\widehat {FGH} [/tex]
[tex] 2(38\times 3+5)\degree = m\widehat {FGH} [/tex]
[tex] 2(119)\degree = m\widehat {FGH} [/tex]
[tex] 238\degree = m\widehat {FGH} [/tex]
[tex] \huge \purple {\boxed {m\widehat {FGH} =238\degree}} [/tex]
write an equation of the line passing through the point A(8,2) that is perpendicular to the line y=4x-7
Answer:
y - 2 = (-1/4)(x - 8)
Step-by-step explanation:
The slope of the given line is 4. The slope of any line perpendicular to the given line is the negative reciprocal of 4, which is -1/4.
Use the point-slope formula:
y - k = m(x - h), where (h, k) is the given point.
Then: y - 2 = (-1/4)(x - 8)
Factorize 6asquared-7a+252
Answer:
As 252 has more than two factors, this makes it a composite number. As the sum of digits of 252 is 9, it is divisible by 3 as well as 9. Hence, 3 and 9 are factors of 252.
...
Factors of 252 in Pairs.
ANSWERS ASAP PLEASE Questions 1-4
Answer:
23 x 23 is 23 why bc anything multiplayed by itself is the same number
Simplify 3 square root of 2 - 3 square root of 18
Answer:
-6 √(2) = -8.48528137424
Step-by-step explanation:
:))
An amphitheater has 24 seats in the first row, 28 in the second, 32 in the third, and so on, for 28 rows. How many seats are in the amphitheater?
Answer: 2,184 seats
Step-by-step explanation:
Row Number of seats
1 24
2 28
3 32
4 36
5 40
6 44
7 48
8 52
9 56
10 60
11 64
12 68
13 72
14 76
15 80
16 84
17 88
18 92
19 96
20 100
21 104
22 108
23 112
24 116
25 120
26 124
27 128
28 132
Total 2,184 seats
Henry was thinking of a number. Henry divides by 2, then adds 10 to get an answer of 15. What was the original number?
Answer:
Henry was thinking of the number 10.
Step-by-step explanation:
Variable x = Henry's original number
Set up an equation:
x ÷ 2 + 10 = 15
Isolate variable x:
x ÷ 2 = 5
x = 10
Mia has filled 34 of the fish tank with water. If the
tank holds 32 gallons, how many gallons has she
put in the tank?
Answer:
24 gallons
Step-by-step explanation:
"Mia has filled 3/4 (three quarters) of the fish tank with water. How many gallons has she put in the tank to fill it 3/4 full? Let g be the number of gallons. Then:
(3/4)(32 gallons) = number of gallons Mia put into the tank: 24 gallons
Find the Volume of each cylinder. Round to the nearest tenth.
Answer:
i think its d
Step-by-step explanation:
Addison has some puzzle books. She will buy 7 new puzzle of books each year.
She will have 43 puzzle books in 5 years.
Rate of change per year____
Initial value____
Help me please :))) <3 ~
Answer:
7
8
Step-by-step explanation:
The rate of change per year is the number of books she gets each year.
The problem states "She will buy 7 new puzzle of books each year."
The rate of change per year is 7.
The initial value is the beginning value.
She gets 7 book each year. In 5 years, she gets 5 * 7 = 35 books.
She will have 35 additional books in 5 years. She will have a total of 43 books in 5 years.
43 - 35 = 8
She started with 8 books.
The initial value is 8.
how can I find the area
Answer:
40/3 in^2
Step-by-step explanation:
2 2/3 = 8/3
(8*5)/3
40/3 in^2
Answer:
20/3 in or 6.67 in
Step-by-step explanation:
A = h*b/2
A = 5in * (8/3in/2)
A = 20in/3 = 6.67in
Mark Brainliest if this helped!
A teacher wants to choose a student at random. The teacher decides to choose the first person to walk through the classroom door at the start of the lesson.
a. Explain why this is not a good method.
2. Suggest a better method.
Answer:
The first person to arrive is not random. The person that mostly arrives first every time is the person who lives closest to the school, or is a teacher's pet.
The odds of the person who lives 20km away from the school being first are way lower than anyone else.
A better method, would be everyone writes their name on a paper, and the teacher picks one at random from a hat.
There are 24 boys for every 32 girls (24:32 ratio)
There are 3 boys for every 4 girls (3 :4 ratio)
There are 6 boys for every 8 girls 6 :8 ratio)
There are__
boys for every __ girls
Answer:
There are 3 boys for every 4 girls (3:4)
Step-by-step explanation:
3:4 is the simplest form of 24:32 and 6:8.
Therefore, there are 3 boys for every 4 girls.
Find the x in each triangle
Answer:
hi
Step-by-step explanation:
you can find the answer according to the Pythagorean theorem
1.
[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]
2.
[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]
hope it helps
have a nice day
from a point P the length of the tangent to a circle is 24 cm and the radius is 7 cm find the distance of P from the centre
Answer:
22.96 cm
Step-by-step explanation:
Let the point of contact of the tangent with the circle be R.
Let the centre of the circle be O.
We are told that from Point P, the length of the tangent is 24 cm.
Thus, PR = 24 cm
Now, the radius will be perpendicular to the tangent at the point of contact with the circle.
Thus, ORP will form a right angle triangle where ∠R = 90°
Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.
Thus;
OP = √(24² - 7²)
OP = √527
OP = 22.96 cm
Can you combine 6 and 2i? Why or why not.
Answer:
u can with math u cant with history
Step-by-step explanation:
can i has brainliest
Answer:
no you can not because the 6 doesn't have the same variable as the 2
Step-by-step explanation:
Can a triangle be constructed with the following side lengths?
12 6 9
Answer:
yes
Step-by-step explanation:
Sides: a = 6 b = 9 c = 12
Area: T = 26.143
Perimeter: p = 27
Semiperimeter: s = 13.5
Answer:
YES
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
12 + 6 is bigger than 9
12 +9 is bigger than 6
9+6 is bigger than 12
x + 2y = 1 and 2x + 5y = 3.
Can someone help me , with process to please ?
I will appreciate thank you so much!
Answer:
x = -1
y = 1
Step-by-step explanation:
x + 2y = 1 (Multiply this by -2)
2x + 5y = 3
-2x - 4y = -2
2x + 5y = 3
y = 1
x + 2y = 1
x + 2(1) = 1
x + 2 = 1
x = 1 - 2
x = -1
Answer:
x = -1
y = 1
Step By Step Explanation:
x + 2y = 1
2x + 5y = 3
let x become the subject. use one of the equation.
x = 1 - 2y
substitute into another equation
2(1 - 2y) + 5y = 3
expend the bracket
2 - 4y + 5y = 3
collect like terms
- 4y + 5y = 3 - 2
y = 1
substitute into one of the equation to find x
x + 2y = 1
x + 2 (1) = 1
x + 2 = 1
collect like terms
x = 1 - 2
x = - 1
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance. Natasha uses the $25 off the repair cost coupon first. She then uses the %20% off the repair cost coupon on the remaining balance.
Answer:Michelle
And 50
Step-by-step explanation:
PLEASE HELP ME. I WILL GIVE CROWN
Answer:
h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r
Step-by-step explanation:
Consider the system of equations.
x = 8 - 2y
x + 3y = 12
What value of x satisfies the system of equations?
Α. 4
B. 0
C. 5
D. 16
On Thursday, a restaurant serves iced tea to 80 of its 295 customers. What percent of the customer ordered iced tea? Round to the nearest whole percent. *\
Answer:
80/295 = 27%
Step-by-step explanation:
Answer:
30 % of the costumers where serve tea
PLEASE HELP!! LMNP is rotated 90° clockwise around the origin. What are the coordinates of M’
Answer:
The answer is "(4, -5)".
Step-by-step explanation:
Please find the complete question in the attached file.
In the given image file when we rotate it to 90 degrees clockwise so the value as the rule is [tex](x, y) \longrightarrow (y, -x)[/tex]
Putting the value in x = 5 and y = 4 then:
[tex](5, 4) \longrightarrow (4, -5)[/tex]
The diameter of a circle is 11 cm. Find its area to the nearest tenth.
Answer:
95.0
Step-by-step explanation:
Area of a circle
A = πr2
Radius is half the diameter = 11/2 = 5.5
A = π x 5.5 x 2
= 95.033177...
= 95.0
5+2x = -27/8
How explain
Answer:
x = -4 3/16.
Step-by-step explanation:
First, convert -27/8 to a mixed number. -3 3/8.
So we can take 5 + 2x = -3 3/8 and subtract 5 from both sides (to get rid of the 5 on the left)
The equation turns into this: 2x = -8 3/8.
Now we can divide by 2 on both sides.
The equation becomes x = -4 3/16.
Hope this helps!
Find the missing angles.
Answer:
b=123
c=123
Step-by-step explanation:
When you are finding a percent of a number or price, you need to convert the percent to a
Answer:
When you are finding a percent of a number or price, you need to convert the percent to a decimal.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!