Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Which of the following is the graph of f(x) = x2 − 5x + 4? (4 points)
.........
....
.......
The mean of this data set is 9. What number is missing?
11,20,_,3,1
10 is the mean of the number that is missing.
What is mean?A property of an assortment of data that represents an average is called the mean. Depending on the nature of the information as well as the kind of average you require, one can compute the mean theoretically employing any of the several ways. Scheming the data distribution constantly allows one to visually determine the mean as well.
Let the missing number be x.
The sum of all the numbers will be
= 11 + 20 + 3 + 1 + x
= 35 + x
The total number is 5.
The mean is given to be 9.
The mean will be
9 = (35 + x) / 5
9 * 5 = 35 + x
45 = 35 + x
10 = x
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A 60 foot by 20 foot garden is enclosed by a fence. To increase the area of the garden, while still using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden
The increase in square feet when the garden is enlarged is 400 square feet.
What is the increase in square feet?The first step is to determine the perimeter of the fence:
Perimeter = 2( length + width)
2 (60 + 20)
= 160 feet
When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.
Length of side of the square = 160 / 4 = 40 feet
Area of the square = 40 x 40 = 1600 square feet
Area of the garden = 60 x 20 - 1200 square feet
Difference = 1600 - 1200 = 400 square feet
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The sides of a triangle are 5.2 cm, 6.3 cm and 9.4 cm, each correct to the nearest millimetre.
Calculate the lower bound of the perimeter of the triangle.
Answer:
20.75
Step-by-step explanation:
5.2 lower bound = 5.15
6.3 lower bound = 6.25
9.4 lower bound = 9.35
5.15 + 6.25 + 9.35 = 20.75
Tyler built a dollhouse for his sister shown in the diagram below. Find the volume of the dollhouse. Explain your method for finding the volume of the dollhouse.
Answer:
Step-by-step explanation:
What is the distance between points a(-3,2) and b(-6,-2)
Work Shown:
[tex]A = (x_1,y_1) = (-3,2) \text{ and } B = (x_2, y_2) = (-6,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-6))^2 + (2-(-2))^2}\\\\d = \sqrt{(-3+6)^2 + (2+2)^2}\\\\d = \sqrt{(3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
I used the distance formula. Alternatively, you can plot the two points and form a right triangle. Then use the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.
Which has the largest value
Answer:
-5 is less than 1
[tex] \frac{12}{4} [/tex] is equal to 3
[tex] {2}^{2} [/tex] is equal to 4
2.83 is less than 3 and 4 but is more than -5
So, your answer would be [tex] {2}^{2} [/tex]
-thunderbolt07
What is the sum of the first 20 terms of the series below?
Answer:
Step-by-step explanation:
Now to find the sum of first 20 terms, substitute n=20,a=−1 and d=4 in S n = 2n [2a+ (n−1)d] as follows: S 20 = 220 [(2×−1)+(20−1)4]=10[−2+(19×4)]=10(−2+76)=10×74=740 Hence, the sum of first 20 terms is 740.
the sum of the first 20 terms of the series below is C.
Need help with this question! Thanks
Answer:
7 adults
Step-by-step explanation:
the equation is 152=4.8(13+x)=8(x) you get 7 for x :)
therefore, there are 7 adults in total ( and 20 children but thats not part of the question :p )
is this the right answer
Answer: A
Step-by-step explanation:
Origin is at 0,0, and the arrow is pointing towards the center which is 0,0.
math question about statistics
Answer:
Mean = 29300
median = 23500
Modal = 23000
Step-by-step explanation:
Mean = Add them all and divide by 10
= 29300
median = average of (rank of 5th and 6th)
= (23000 + 24000) /2
= 23500
Modal = appear the most
= 23000
If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes
The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.
What factoring method can be considered for the polynomial?It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.
On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.
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What is the value of y?
Answer:
y = 70
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
y = 1/2(92+48)
y = 1/2(140)
y = 70
Given: ∠ABC and ∠CBD are complementary angles and m∠ABC=35°
Prove:m∠CBD=55°
Answer:
we know that sum of two complementary angles always equals to 90°
now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90
∠ABC = 35° given
so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°
therefore hence proved ∠CBD = 55°
For a science experiment, maria threw an egg 88.2 meters in 3 seconds. what was the average rate of speed of the egg? a. 88.2 m/sec. b. 44.1 m/sec. c. 29.4 m/sec. d. 9.8 m/sec.
Answer: its not A its b c or d sorry i could not help more
Answer:
The answer is C. 29.4 m/sec.
Step-by-step explanation:
I got it right ^w^
WILL MARK BRAINLIEST!!!
The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which of the following statements must be true?
PLEASE SHOW WORK!
A. Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
explanation
The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated
with very low p values are at the ends of the normal distribution.
A line passes through the two points (-4,6) and (2,-5). Calculate the following parts:
A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
The slope m of the line is given as
[tex]m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}[/tex]
The equation of a line is
[tex]( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0[/tex]
Hence, the equation is 11x +6y - 80 = 0
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what is the range of the given data set
2,5,19,7 -5,33,26,15 12
a. 27
b.28
c.38
Answer:
C). 38
Step-by-step explanation:
The range is the measurement of the difference between values in a data set. To find the range, subtract the lowest value from the greatest value.
2, 5, 19, 7, -5, 33, 26, 15, 12
-5, 2, 5, 7, 12, 15, 19, 26, 33
Lowest value,
⇒ -5
Greatest value,
⇒ 33
33 - (-5)
⇒ 38
Hence, the range/answer is 38. ⇒ option c.
please help me find the area of compound shapes?!?!
Answer:
415 mmStep-by-step explanation:
A1=BH
=15mm×7mm
=300mm2
A2=BH
=15mm×5mm
=75mm2
A3=BH
=8mm×5mm
=40mm2
A1+A2+A3=Atotal
300mm2+75mm2+40mm2=Atotal
415mm2=Atotal
HELPP ILL MAKE YOU THE BRAINIEST
The triangles shown are similar find the value of each variable
X= 14.375 and y = 21.75
Given : Both the triangles are similar. To Find : Value of x and y.__________Calculating For x
[tex] = > \huge\frac{x}{57.5} = \frac{16}{64} [/tex]
[tex] = > \huge\ \: x = \frac{57.5 \times 64}{16} [/tex]
[tex]x = 14.375[/tex]
Calculating For y
[tex] = > \huge \frac{y}{87} = \frac{16}{64} [/tex]
[tex] = > \huge y = \frac{87 \times 64}{16} [/tex]
[tex]y = 21.75[/tex]
[tex]\sf\red{hope\:it\:helps\:you}[/tex]
[3 - (6 ÷ 3)3] x 11 + 11?
Answer:
The answer is -11(3x-1)
Step-by-step explanation:
Thats what the calculator said
Hope this helps!!!
(tan30°+cos30°) / tan30° × cos30°
Answer:
Look at the photo and Goodluck
What is the length of JH ?
Answer: 34
Step-by-step explanation:
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm. What is the focal length (in cm) of the lens?
The focal length of the lens is 40cm.
What is the focal length?The distance between the center of a lens or curved mirror and its focus.
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm.
The focal length of the lens is given by the following formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\Where; \ r_1 =\infty , \ r_2=20, \ and \ n = 1.5[/tex]
Substitute all the values in the formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\\rm \dfrac{1}{f}=(1.5-1) \left ( \dfrac{1}{\infty}-\dfrac{1}{20} \right)\\\\ \rm \dfrac{1}{f}=(0.5) \left ( 0-\dfrac{1}{20} \right)\\\\ \dfrac{1}{f} = \dfrac{-0.5}{20}\\\\\dfrac{1}{f}=-0.025\\\\f = \dfrac{-1}{0.025}\\\\f=-40[/tex]
Hence, the focal length of the lens is 40cm.
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Tried to do this one on my own but still dont get how to do it.
Answer:
238
Step-by-step explanation:
First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter. 34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!
Pls help solve this problem
Answer:
x = [tex]\frac{15}{11}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] x - [tex]\frac{1}{3}[/tex] x = x - 1
multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions
9x - 5x = 15x - 15
4x = 15x - 15 ( subtract 15x from both sides )
- 11x = - 15 ( divide both sides by - 11 )
x = [tex]\frac{-15}{-11}[/tex] = [tex]\frac{15}{11}[/tex]
Find the value of x for the given equation : 2 (x-1) - 6 =24
Answer:
x = 16
Step-by-step explanation:
2(x - 1) - 6 = 24 ( add 6 to both sides )
2(x - 1) = 30 ( divide both sides by 2 )
x - 1 = 15 ( add 1 to both sides )
x = 16
Half of a circular cake is left after a party. A piece of cake with a 44˚ angle is eaten.
What is the angle in the piece that is left?
Answer:
136°
Step-by-step explanation:
The whole of the cake angle = 360°
Half of it = 180°
Therefore; if 44° angle is eaten out of the half i.e 180°
Then what's left = 180° - 44° = 136°
4over5 times 3 over 4
Answer:
its in percentage but it would be 0.6
Step-by-step explanation:
Answer:
3 over 5
[tex]\frac{4}{5} * \frac{3}{4}\\\\4*3=\underline{12}\\5*4=20[/tex]
Simplify 12 over 20
[tex]12/4= \underline{3}\\20/4 = 5[/tex]
Sandra calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?
Four triangles A, B, C, D are shown from left to right. Triangle A has two sides labeled 6 each, and the included acute angle is shown. Triangle B has one side labeled as 2 and the other as 3, and the included obtuse angle is shown. Triangle C has one side labeled as 6 and the other as 7, and the included acute angle is shown. Triangle D has one side labeled as 2 and the other as 3, and the included right angle is shown.
A
B
C
D