Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer
Answer:
9.9
Step-by-step explanation:
Let the side of ZX = x
4/8 = x/19.8
Cross-multiply
8x = 79.2
Divide both sides by the coefficient
8x/8 = 79.2/8
x = 9.9
Given the distance between (x,1) and (-2,5) is 2 root 7, find the the value of x. Leave your answer in simplified exact form
Answer:
Step-by-step explanation:
Distance = the square root of (x2-x1)2 + (y2-y1)2Added:Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared
The value of x is (√12) - 2, when the distance between (x,1) and (-2,5) is 2√7 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
Given that the distance between (x,1) and (-2,5) is 2√7 units. Therefore we can write,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]2\sqrt7= \sqrt{(x + 2)^2 + (1-5)^2}[/tex]
Squaring both the sides of the equation,
[tex](2\sqrt7)^2= (\sqrt{(x + 2)^2 + (1-5)^2})^2[/tex]
4 × 7= (x + 2)² + (-4)²
28 = (x+2)² + 16
28 - 16 = (x+2)²
12 = (x+2)²
x+2 = √12
x = (√12) - 2
Hence, the value of x is (√12) - 2.
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1.
Name the postulate or theorem you can use to prove the triangles congruent.
Answer:
phthagoras
Step-by-step explanation:
(x^2+2x+1)+(-x^2+x+3)
Answer:
3x+4
Step-by-step explanation:
You have to combine like terms to get 3x+4.
Does this graph show a function? Explain how you know.
A function is only a function if it passes the vertical line test, meaning every x-value has only one y-value. In the case of this graph, it does not pass the vertical line tests and has multiple y-values for each x-value.
Correct Answer: A. No; the graph fails the vertical line test.
B is incorrect because y-values can have more than 1 x-value, such as a function like y = 2. The opposite is the correct statement; x-values can have no more than 1 y-value. For example, x = 2 would not pass the vertical line test.
Hope this helps!
Solve the triangle. Round your answers to the nearest tenth.
Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24
Answer:
Option B
You use sine rule to find the missing angles
Answered by GAUTHMATH
For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took,
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
We have been given angle A = 105 degrees and side a = 37, side c = 18.
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]
By angle sum property;
A + B + C = 180
105 + 28 + B = 180
B = 180 - 133
B = 47
Therefore,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]
Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
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please answer this!!
Answer:
b
Step-by-step explanation:
tan equal to (opposite side) /(adjacent side)
am not able to write root 3 on phone but its something like this
(a¤3)/a
in which¤3 is root 3
Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
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The median GPA of the percussionists is 2.8
This question appears incomplete.
Here is the complete question :
Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.
For percussionists, the median GPA is _____.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Median is a measure of central tendency
Other measures of central tendency include mean and mode.
The GPA of the 3 percussionists are 2.4, 2.8 and 3.2
This data has already been arranged in ascending order.
The number that is in the middle is 2.8
Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4
The number that is in the middle is 2.8
For more information on how to calculate median, check : https://brainly.com/question/12528427?referrer=searchResults
Help anyone can help me do this question,I will mark brainlest.
Answer:
Question 3: 220 centimeters
Question 4: 31.4 millimeters
Step-by-step explanation:
Question 3:
Formula for circumference: 2πr
2πr
Exchange π for 22/7
2 · (22/7) · r
Exchange r (radius) for 35
2 · (22/7) · 35
Simplify:
2 · (22/7) · 35
44/7 · 35
220; 220 centimeters
Question 4:
Formula for circumference: 2πr
2πr
Exchange π for 3.14
2 · 3.14 · r
Exchange r (radius) for 5
2 · 3.14 · 5
Simplify:
2 · 3.14 · 5
6.28 · 5
31.4; 31.4 millimeters
Answer:
220 cm31.4 mmStep-by-step explanation:
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
Solve:
Question # 1
r = 35 cm
π = 22/7
Circumference = 2πr
Circumference = 2 (22/7) (35)
Circumference = 2 (110)
Circumference = 220 cm
Question # 2
r = 5 mm
π = 3.14
Circumference = 2πr
Circumference = 2 (3.14) (5)
Circumference = 10 (3.14)
Circumference = 31.4 mm
Hope this helps!! :)
Please let me know if you have any questions
Given the following coordinates complete the glide reflection transformation.
hopefully this answer can help you to answer the next question.
what is the answer to
(35+5)[16+(12÷ 4)]
Hi there!
»»————- ★ ————-««
I believe your answer is:
760
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M
Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers
Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
In a random sample of 190 people, 151 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Answer:
(0.7465 , 0.8429 )
Step-by-step explanation:
Confidence Level - "P" values
90% 1.645
Confidence Interval - "P" values
(0.7465 , 0.8429 )
Find the missing segment in the image below
Answer:
? = 42
Step-by-step explanation:
24/8 = ?/14
cross mult
24/8 = x/14
336=8x
x = 42
Using two independent samples, two population means are compared to determine if a difference exists. The population standard deviations are equal. The number in the first sample is fifteen and the number in the second sample is 12. How many degrees of freedom are associated with the critical value
Answer:
Hence the degrees of freedom are associated with the critical value is 25.
Step-by-step explanation:
Using two independent samples, two population means are
compared to determine if a difference exists, the population standard deviation is equal.
sample size 1 = [tex]n_{1}[/tex]= 15 and sample size 2 = [tex]n_{2}[/tex] = 12
since, population standard deviations are equal, required degrees of freedom
[tex]= n_{1} + n_{2} - 2 \\= 15 + 12 - 2\\ = 25[/tex]
What is the degree of the
polynomial below?
x^3 + 2x - 3x^4 + 5 + 3x^2
Answer:
x
Step-by-step explanation:
Answer:
4.
Step-by-step explanation:
The highest exponent is 4 so the degree is 4.
instruction Find m<HFG
Answer:
∠ HFG = 79°
Step-by-step explanation:
The inscribed angle HFG is half the measure of its intercepted arc, that is
∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°
Need helppppp asappppppp
Answer:
162
Step-by-step explanation:
because this is a parallelogram :
m<2 = m<4 so
4x - 22 = 3x - 12
4x - 3x = 22 - 12
x = 10 replace x with 10 in the equation for m<4
3x - 12 is 30 - 12 = 18
m<4 and m<1 are supplementary and their sum is equal to 180
m<4 + m<1 = 180
m<1 = 180 - 18
m<1 = 162
i have a few questions! what is the gcf for
(21 and 54)
(55 and 90)
(16 and 30)
(42 and 91)
(66 and 121)
Answer:
(21 and 54): 3
(55 and 90): 5
(16 and 30): 2
(42 and 91): 7
(66 and 121): 11
Step-by-step explanation:
Which of the following points lies on the graph of the equation y = 2x +5.
(2, 7)
(4, 9)
(0, 2)
(2, 9)
Find the value of n. A. 10 B. 6 C. 50 D. 25
Simplify this expression.
I need u again pls
Answer:
The answer is the Second Option
Step-by-step explanation:
Answer:
the second one sqrt(10) + sqrt(15) -sqrt(14) - sqrt(21)
Step-by-step explanation:
please tell me what x =?
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.
tan(x) = 8/10
x = tan^-1(8/10)
x = 38.7 degrees
Hope this helps!
rs 20736 was distributed to as many rupees as there were. how many students were there
This question is solved by proportions
Doing this, we found that there were 144 students.
20736 was distributed. The number of rupees for each student is the number of students.
Considering n students, the amount each student receives is:
[tex]A = \frac{20736}{n}[/tex]
Considering each student received n rupees:
[tex]n = \frac{20736}{n}[/tex]
Applying cross multiplication:
[tex]n^2 = 20736[/tex]
[tex]n = \sqrt{20736}[/tex]
[tex]n = 144[/tex]
Thus, there were 144 students.
A similar question can be found at https://brainly.com/question/23843273
HELP PLEASE ! it keep saying its wrong
Answer:
x=24 y=33
Step-by-step explanation:
If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.
Evaluate the following
expression using x = 6:
8(3x + 1)
Anyone know the answer
Answer:
152
Step-by-step explanation:
Substitute the given value for x.
[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]
Answer:
152
Step-by-step explanation:
8(3x+1)
Let x = 6
8(3*6+1)
Multiply inside the parentheses
8(18+1)
Add inside the parentheses
8(19)
Multiply
152
I neeeddddd helppppp!!!! It’s urgentttttt
Answer:
R theta 1 = 20 x
R theta 2 = 11 x - 6
R ( theta 1 + theta 2) = 31 x - 6 adding equations
R pi = 31 x - 6 since theta 1 + theta 2 = 180 deg
x = (R pi + 6) / 31
This equation depends only R
If one lets R be one then x = (pi + 6) / 31
This would give x = .29489 rad for the value of pi is deg
The numerical value of x appears to depend on the value of R
What is the solution set of 7x 2 + 3x = 0?
{0, 3/7}
{0, -3/7}
{0, -4/7}
Answer:
the answer is b when we have two positives it makes a negitive therefore its b
Step-by-step explanation:
[tex]-2x(x+3)-(x+1)(x-2)[/tex]
Answer:-3x2-5x+2
Step-by-step explanation:
Distribute -2x to x+3, and then x+1 to x-2
[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]
[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]
[tex]-3x^{2} -3x-2[/tex]
Sorry it’ll be -3x2 -5x +2
