Answers
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
what is (997X5) + (6X-979) divided by 2 =?????
Answers
Answer: 2048 I just used a calculator
Step-by-step explanation:
Answer:
2048.
Step-by-step explanation:
(997X5) + (6X-979) / 2
= 4985 + -5874/ 2
The multiply is done before the add ( Order of operations):
= 4985 + -2937
= 2048
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answers
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
75 is 15% of what number
Answers
75 is 15% of 500!! If you get it wrong IM SO SORRY!!
Answer: 113.3333 (repeating 3’s)
Step-by-step explanation:
17 = 15%
divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%
11.33 = 10%
multiply 10 and 11.33 by 10 to get 100%
113.33 = 100%
Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?
Answers
Answer:
229
Step-by-step explanation: do 1000-771 and u get the answer
Answer:
229
Step-by-step explanation:
To find how many are left, do the total minus the amount found:
1000 - 771 = 229
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Its an acute bc an acute angle is less than 90 degree
What is a slope in math.
Answers
Answer:
A slope in math is basically rise/run on a coordinate plane. If you have the trend line given and a few values given on the 'x' coordinate and the 'y' coordinate, you can find the slope using rise/run.
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Make m the subject of the formula L = m + n
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Answer:
[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]
Step-by-step explanation:
The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex] is simply [tex]\frac{b}{a}[/tex]. The sign would not change for this reason.
Hope it helps :) and let me know if you want me to elaborate.
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answers
Answer:
1. Parallel
2. Neither
3. Perpendicular
4. Perpendicular
5. Neither
6. Same Line
7. Perpendicular
8. Parallel
9. Same Line
10. Perpendicular
11. Parallel
12. Perpendicular
13. Parallel
14. Same Line
15. Perpendicular
16. Parallel
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18. Parallel
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Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answers
Answer:
x=(m)(7)(6) or x=m*7*6
Step-by-step explanation:
.−3(4x + 3) + 4(6x + 1) = 43
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Answer:
43
Step-by-step explanation:
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Answers
Answer:
21.900 - 21.9
Step-by-step explanation:
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Answer:
x=38°
Step-by-step explanation:
sinx/21 =sin(38°)/21
sinx=21Sin(38°)/21
x = arcsin(21Sin(38°)/21)
x=38°
Can someone teach me quadratics?
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Answer:
yeah sure
Step-by-step explanation:
all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).
use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.
then you will find the y or k then make a table of values and put the vertex of the x and y that you found.
then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.
then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.
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Answers
Answer:
333
666
Step-by-step explanation:
333 / 9 = 37
666 / 9 = 74
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Answer:
333
Step-by-step explanation:
we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.
Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).
Answers
The area of the triangle is 24 square units.
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Doubt clarification - use comment section.
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Answers
Answer:
77° is the answer
Step-by-step explanation:
hope it helps;)
The measure of angle [T] will be ∠T = 139°.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle TSU.
The sum of the angles of a triangle is 180 degrees. So, we can write -
(21x + 13) + 4x + (3x - 1) = 180
21x + 4x + 3x + 13 - 1 = 180
28x + 12 = 180
28x = 168
x = 168/28
x = 6
So -
∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139
∠T = 139°
Therefore, the measure of angle [T] will be ∠T = 139°.
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How do we determine the area of an a rectangle?
Answers
Answer:
accept length
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Four expressions are shown below
I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to
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I and II, only
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II and IV, only
I, II, and IV
I, II, and IV
II, III, and IV
Answers
Answer:
1, 2, and 4
Step-by-step explanation:
distribution
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Answers
Answer:
Below.
Step-by-step explanation:
3 x 3 - 7 = 8 x 9
=> 9 - 7 = 72
=> 2 ≠ 72
The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.
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Answers
Answer:
A.
How many tiles will you put in each row? 9
How many rows will you make? 3
B.
9x3=27
C.
9 models the amount of tiles in each row
3 models the amount of rows
27 models the total number of chairs/tiles
Step-by-step explanation:
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Answers
Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
6/9 x 3/8 in simplest form
Answers
refer the attachment for your answer !!
Factorize: (x+4)2 - (x- -3)2
Answers
Answer:
2
Step-by-step explanation:
A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue
marble?
Answers
Answer:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
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Step-by-step explanation:
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A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?
Answer= [ ? ] hertz
Answers
The particle has a frequency of 0.032 hertz.
The particle experiments a sinusoidal motion, whose mathematical model is described below:
[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)
Where:
[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.The frequency ([tex]f[/tex]), in hertz is defined by this formula:
[tex]f = \frac{\omega}{2\pi}[/tex] (2)
By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):
[tex]f \approx 0.032\,hz[/tex]
The particle has a frequency of 0.032 hertz.
We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?
Answers
Answer:
$1.76
Step-by-step explanation:
First we need to figure out the cost of one apple.
To do this, divide the cost by the amount.
That's .65/3, which equals .216666, but we should round that number to .22
So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76
Hope this helps :))
At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question,
The cost of 3 apples = $0.65
The cost of 1 apple = $0.65/3 = $0.22
The cost of 8 apples = $0.22 × 8 = $1.76.
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3a-28-7a+10a
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Answers
Answer:
6a - 28
Step-by-step explanation:
combine like terms
3a - 28 - 7a + 10a
3a - 7a + 10a = 6a
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Step-by-step explanation:
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Answer:
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Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term
Answers
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.