Answers
Before we solve for each angle, let's find the bottom left angle of the triangle.
We know that:
Straight line = 106 + xStraight line = 180This means that:
⇒ 106 + x = 180Step-by step calculations:
⇒ 106 + x = 180
⇒ 106 - 106 + x = 180 - 106
⇒ x = ∠BCA = 74°
Solving for y:We know that:
⇒ Sum of the interior angles of the triangle: 180°
This means that:
⇒ (74) + (3y + 22) + (4y) = 180
Step-by step calculations:
⇒ (74) + (3y + 22) + (4y) = 180
⇒ 96 + 7y = 180
⇒ 96 - 96 + 7y = 180 - 96
⇒ 7y = 84
⇒ 7y/7 = 84/7
⇒ y = 12
Finding the measure of each angle:Step-by step calculations:
⇒ ∠B = 3y + 22
⇒ ∠B = 3(12) + 22
⇒ ∠B = 36 + 22
⇒ ∠B = 58°
-------------------------------------
⇒ ∠A = 4y
⇒ ∠A = 4(12)
⇒ ∠A = 48°
Related Questions
What is the measure of ZXYZ?
X
112
y
A. 170
V
O B. 72°
55°
C. 55°
w
D. 36°
Answers
Answer: D. 36
Step-by-step explanation: Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=360-120=240 degree.
The measurement of arc xyz is 240 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle .
In the given diagram, angle subtended on the circle by arc XZ=60 degree .
So arc XZ =2 times of 60
=2×60
=120.
The measurement of arc xyz=360-120=240 degree.
Hence, the measurement of arc xyz is 240 degrees.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
find the nth term formula in the sequence - 1,9,21,47,57
Answers
Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
During a sale,cameras were discounted 30% from their original price of $295.99.how much was each camera during the sale to the nearest cent?
Answers
.7 * 295.99 = original price
.7 * 295.99 = 207.193 = $207.19
Evaluate the expression
9^4 x 9^-4
(Problem 8 in photo. Thank you!)
Answers
Answer:
1
Step-by-step explanation:
using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex]a^{0}[/tex] = 1 , then
[tex]9^{4}[/tex] × [tex]9^{-4}[/tex]
= [tex]9^{(4+(-4))}[/tex]
= [tex]9^{(4-4)}[/tex]
= [tex]9^{0}[/tex]
= 1
Assume that lines which appear tangent are tangent 15 9 solve for x
Answers
Answer: -0.383864035
Step-by-step explanation: Tan(159) = -0.383864035
I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx
Answers
[tex] \rm \looparrowright - \frac{1}{4} (8 - 4 + 20x)[/tex]
Subtract the numbers
[tex] \rm \looparrowright - \frac{1}{4} (4+ 20x)[/tex]
Factor out 4 from the expression
[tex] \rm \looparrowright - \frac{1}{ \cancel4} \times \cancel4(1 + 5x)[/tex]
[tex] \rm \looparrowright - (1 + 5x)[/tex]
When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -
[tex] \rm \looparrowright - 1 - 5x[/tex]
Thus, Options A and F are correct!!~URGENT NEED HELP ON THIS
Answers
Answer:
I think option no B
hope it will help you
7686:9=854
(7200+486):9=(800 + 54)
Find three consecutive integers such that the product of the first and the second integer is 42
Please answer!!!!
Answers
Answer:
6 & 7.
Step-by-step explanation:
make one of the numbers x. The number succeeding it will be x +1
Their product is 42
x(x+1) = 42
x²-x-42=0
Can the sides of a triangle have lengths 2.8, 19.1, and 19.4?
Answers
Answer:
Step-by-step explanation:
Yes
You almost have an isosceles triangle. The lengths of the longest line segments differ by by 0.3. So the base of the triangle is 2.8 and the long segments are connected to each other and each of them at end of 2.8
4 ( m + 3 ) = 48
Identify M pls!
Answers
Answer:
M = 9
Step-by-step explanation:
4 (m + 3) = 484m + 12 = 484m = 48 - 124m = 36m = 36 ÷ 4m = 9the value of M is 9
Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite corner. The lawn is 23ft by 18ft. a.) What is the length of the walkway to the nearest foot? b.) If the stones cover one foot each how many stone will he have to buy to make sure the path is covered?
Answers
The length of the walkway is 24 ft, and you will need 24 stones to cover it.
What is the length of the walkway?
The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:
L^2 =(23fy)^2 + (18ft)^2
L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft
The walkway is 23.77 ft long.
Rounding to the nearest foot, the length is 24 ft.
b) If each stone covers 1 ft, then you will need 24 stones.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
Estimate. About how many groups of 25 are in 95? How do you know?
Answers
Please help me ASAP
How many solutions are there to this system of equations?
tyy!
Answers
Answer:
looks like 2
Step-by-step explanation:
Points where two lines cross are solutions they share
What is the equation of the function that is graphed as line b ?
y = x - 1
y = 2 x + 1
y = -4 x
y = x + 1
Answers
Answer:
Y=-x-1
explanation:
(1,-2)
(2,-3)
And use the slope formula, y2-y1/x2-x1
Where y2=-3
Y1=-2
X1=1
X2=2
So
-3+2/2-1=-1
So the slope is -1 and y intercept is -1
Let’s plug those values in:
Y=-x-1
Hope this helps!
30 POINTS + BRAINLEST TO FIRST CORRECT EXPLAINED ANSWER!
Please make sure to answer all parts of the question. Answer if the equation is right, and how to solve. Thank you!
Answers
phone case. The phone case was $560
Please help, this is the 2nd time posting this.
Answers
Answer:
HI = EF
Step-by-step explanation:
We are given that the sides GH and DE of the triangles are congruent. GH = DE
Also, we are given that the angles H and E are congruent.
H = E
Given that HI is congruent to EF, then the triangles are congruent, by Side Angle Side SAS
.
A raffle sold 2,000 tickets. What is the theoretical probability of NOT having the winning ticket? P(NOT winning ticket) =
Answers
Answer:
0
Step-by-step explanation:
you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.
help please. I'm stuck on this question
Will mark brainliest
Answers
Answer: The number is 2
Step-by-step explanation: Suzie says that [tex]\frac{1}{2}[/tex], which is half of a whole, is equal to only [tex]\frac{1}{4}[/tex] of the unknown number. This means that to find the value of the unknown number, you need to multiply [tex]\frac{1}{2}[/tex] by 4 so that it equals to [tex]\frac{4}{4}[/tex] of the mystery number.
Simply put, multiply [tex]\frac{1}{2}[/tex] by 4. Then reduce for the answer, and this gives us these equations.
[tex]x=4(\frac{1}{2} )[/tex]
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]
Hope that this helps!
a circled circumference is approximately 44cm
Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616
Answers
Answer:
1. The circle’s radius is approximately 14 cm.
2. The circle’s radius is approximately 7 cm.
3. The circle’s area is approximately 154 cm2
Question:a circled circumference is approximately 44cm
Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616, Answers without letters: 1. 14cm 2. 7cm 3. 154 cm2
What is the the decimal equivalent of 1/-4
Answers
Answer:
Step-by-step explanation:
1 / -4 = -0.25
(excuse my bad mouse drawing)
please show calculations
Answers
Answer:
i can't understand can u show it carefully
How many odd 2-digit positive integers greater than 30 are there?
Answers
Answer:
There are 70 two digit numbers that are greater than or equal to 30
Step-by-step explanation:
hope it helps you
Answer:
35
Step-by-step explanation:
There are 100 -30 = 70 2-digit positive integers. Half of them are odd.
There are 35 odd 2-digit positive integers greater than 30.
__
Additional comment
For n = 1 .. 35, those numbers are 2n+29.
3) Dante bought groceries at Wegmans last weekend. His total was $50.24. The tax rate in Fredericksburg is 5,5%. How much did Dante actually spend at Wegmans?
Answers
Ex: 50.24*0.055=2.7632
50.24+2.76=$53.00
Answer: 53 dollars
..........................................
Answers
Answer:
.................................
2.
D
3
In the diagram above, Z3 = 135º.
Find the measure of Z4.
24 = [?]
Answers
Answer:
<4= 45○
Step-by-step explanation:
Step by step explanation is found on pic.
Hope that Helps :)
This is my hw somebody please
Answers
Answer:
4 because the edges are like vertices.
Please help me do #4
Answers
Step-by-step explanation:
I solved it by steps...
I hope you understand...
Geometry: Find the length of the arc
Can someone pls help me with this??
Answers
Answer:
3π, 6π
Step-by-step explanation:
12π*1/4=3π
16π*135/360=6π
the length of arc:
[tex]\tt =\dfrac{\alpha }{360}\times 2\pi.r[/tex]
5.
[tex]\tt \dfrac{90}{360}\times 2\pi6= 3\pi~yd[/tex]
7.
[tex]\tt \dfrac{135}{360}\times 2\pi.8=6\pi~km[/tex]
1. An unknown number of liters of mixture containing 6% boric acid is to be mixed with 2 liters of
a mixture which is 15% boric acid. The new solution created is to be at a concentration of 12%
boric acid. How much of the 6% solution must be used? Show all work.
Answers
Answer:
0.4
Step-by-step explanation
2/0.15+x/0.06=x+2/0.12
30=x/0.12+2/0.12
1.6+2x=x+2
x=0.4
Adam and Tom share a sum of money in the ratio 18:17
Adam got £5 more than Tom.
How much did Tom receive?
Answers
x = total amount split between Adam and Tom.
since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.
[tex]\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft[/tex]