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Similar figures are two or more given figures that have some common properties. The answers to the questions are;
14. m<WYZ = [tex]157^{o}[/tex]
15. m<ACB = [tex]87^{o}[/tex]
Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]
19x - 10 = [tex]180^{o}[/tex]
19x = [tex]190^{o}[/tex]
x = [tex]\frac{190}{19}[/tex]
= [tex]10^{o}[/tex]
Then,
m<WYZ = (16x - 3) = (16(10) -3)
= [tex]157^{o}[/tex]
The measure of angle WYZ is [tex]157^{o}[/tex].
15. (11x - 2) = (6x + 13) (similarity property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
= [tex]31^{o}[/tex]
m<ABC = [tex]31^{o}[/tex]
But,
m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]
m<ACB = [tex]180^{o}[/tex] - 93
= [tex]87^{o}[/tex]
m<ACB = [tex]87^{o}[/tex]
The measure of angle ACB is [tex]87^{o}[/tex].
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Related Questions
Will give brainliest!
Answers
Answer:
[tex] \frac{1}{2} + \frac{5}{8} [/tex]
[tex] \frac{1 \times 4}{2 \times 4} + \frac{5}{8} [/tex]
[tex] \frac{4}{8} + \frac{5}{8} [/tex]
[tex] \frac{9}{8} [/tex]
[tex]1 \frac{1}{8} [/tex]
Answer:
all, but the bottom
Step-by-step explanation:
They all add up correctly but the one on the bottom makes no sense.---------------------------------------------------------------------------------------------------------------------------
Pls help this is due today and i have no idea
Answers
Answer:
x=38°
Step-by-step explanation:
sinx/21 =sin(38°)/21
sinx=21Sin(38°)/21
x = arcsin(21Sin(38°)/21)
x=38°
guys i need help at least 1 question please
i will give brainliest
Answers
Answer:
most of them would be 0
Step-by-step explanation:
Creflo is 6 years older than Dean.
Raheem is twice as old as Creflo.
The sum of their ages is 34.
Work out the ratio of Dean's age to Creflo's age to Raheem's age.
Answers
R = 2C
D + C + R = 34
R = 2 (D+6)
R = 2D + 12
D + (D + 6) + (2D + 12) = 34
Add like terms.
4D + 18 = 34
4D = 34 - 18
4D = 16
D = 4
C = D + 6
C = 4 + 6
C = 10
R = 2C
R = 2(10)
R = 20
Write as ratio.
D:C:R
4:10:20
12 people sharing an 8 gummy worm pieces how much per person will get equally show two ways
Answers
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answers
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph
Answers
Answer:
You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.
Step-by-step explanation:
Write an expression to represent:
Nine less than the quotient of two and a number z.
Answers
Answer:
2 / z - 9
Step-by-step explanation:
Don't worry division always goes before subtraction so you don't need any parenthesis.
Tell me if I'm wrong :)
Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?
Answers
Answer:
B. 4 steps
Step-by-step explanation:
[tex]84 \div 21 = 4[/tex]
just divide total number of steps by number of friends to derive the answer.84 snacks
21 friends
to find:how many snacks each of her friend gets.
solution:[tex] \frac{84}{21} [/tex]
[tex] = 4[/tex]
hence, each of her friend will get 4 snacks.
answer= option B
Find the probability of flipping a coin 3 times and getting all heads.
Answers
Answer:
.13
Step-by-step explanation:
What is the slope for this table?
Answers
is 540 or 630 closest to 594
Answers
Answer:
630
Step-by-step explanation:
630 - 594 = 36
594 - 540 = 54
630 is closest to 594
Answer:
630 is closer
Step-by-step explanation:
The number of units separating 540 and 594 is 54; that separating 594 and 630 is 36. So 630 is closer to 594.
Geometry help me!
Extra points!
Answers
Answer:
71
Step-by-step explanation:
Find the values of x and y.
Answers
Answer:
Y = 69
X = 42
Hope this helps!
I need help with this question! Whoever is correct, I will give brainliest!
Answers
The system of equations that can be used to model the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.Together they packed 27 boxes, hence:
[tex]x + y = 27[/tex]
David packed 3 more than half the number Juan packed, hence:
[tex]y = 3 + \frac{1}{2}x[/tex]
Hence, the system of equations that models the situation is:
B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]You can learn more about system of equations at https://brainly.com/question/25960609
1) For each diagram, decide if y is an increase or a decrease relative to x. Then determine how much it increased or decreased.
Answers
Answer:
i dont know
Step-by-step explanation:
PLEASE HELP! NEED IT NOW!
Calculate the circumference and area of a circle with the given measure. Use 3.14 for p.
a. radius = 3 cm
b. diameter = 4 ft
Answers
Answer:
ok
Step-by-step explanation: 3cm i believe
A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.
Answers
120/15 = 8
To find the perimeter, we use the following formula
2l + 2w = P
2 (15) + 2 (8) = 46 ft
What is the answer
Answers
Answer:
It's a im taking the same test lol
Step-by-step explanation:
All of the following are equivalent, except _____.
3x
2x 2
x(2 + 1)
2x + x
Answers
When there are two variables (letters) you combine them by adding
What is the slope of a line with the equation of 2.5x+5y=20
Answers
The required slope of the given line is 2.5x+5y=20 m = 1/2
Given that,
To determine the slope of the line 2.5x+5y=20.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
standard equation of the line,
y = mx + C
Transform the given equation into the equation of the line,
2.5x+5y=20
y = 1/2x + 8
When comparing the above equation with the standard equation of line,
m = 1/2
Thus, the required slope of the given line is 2.5x+5y=20 m = 1/2
Learn more about slopes here:
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need help with this math question
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Answer:
please resend question
Step-by-step explanation:
I got the answer but I don't know how to show my work, can ya'll tell me what I should write??
Answers
Answer:
one side is 16, the other is 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 angle triangle always give the following sides
1-[tex]\sqrt{3}[/tex]-2 , which is a-b-c
to label your triangle as such
8= a
other leg =b
hypotenuse = c
so. if a =8, then
c = 8*2 =16
b=8[tex]\sqrt{3}[/tex]
which is not a factor of 36
Answers
Answer:
all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
16 sq mm
Step-by-step explanation:
hope this helps
Can u give me a brainliest answer?
Area of the figure= 2x2 + 2x6
Area of the figure= 4+12
Area of the figure = 16m^2
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form. A comparison of these two fractions is:
Answers
Answer:
3/25
More right handed
3/25 ≤ 22/25
Step-by-step explanation:
There are more right handed people because 88% of them are right handed.
12/100 = 3/25
I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.
Answers
Answer:
21
Step-by-step explanation:
21 plus 3 equals 24 divided by 2 equals 12
PLS HELPPPP
Answer the following problem using the SOLVE Method
Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to
raise $500 by Friday. The figure below shows how much they have raised by
Wednesday. What is the minimum number of T-shirts they must still sell in
order to reach their goal? Explain your reasoning.
Answers
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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If you the numbers 2 and 2, what will the final sum be
Answers
There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?
Answers
Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
A 12/30 fraction of the team is made up of boys.
What is a fraction?A fraction is defined as part of a whole.
The total number of team members is
12+18=30
The number of boys on the team is 12.
Hence, the fraction of boys o the team is 12/30.
To learn more about fraction, use the link given below:
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