Answers
Answer:
[tex]m=\sqrt{2}[/tex] inches
Step-by-step explanation:
From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side [tex]m[/tex] can be found by using the Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex].
[tex]m^{2}+m^{2}=2^{2}[/tex] (The two shorter sides of the triangle are equivalent)
[tex]2m^{2}=4[/tex]
[tex]m^{2}=2[/tex]
[tex]m=\sqrt{2}[/tex] inches
I hope this helps :)
Related Questions
ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′.
Select the option that completes the statement:
The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.
A. congruent; similar; proportional
B. congruent; proportional; similar
C. proportional; congruent; similar
D. proportional; similar; congruent
Answers
The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B
In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.
When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.
Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.
The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.
For more questions on scale factor
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Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).
Answers
Answer:
the last one I think
Step-by-step explanation:
The vertex form of the quadratic equation is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And the graph can be seen at the end
How to get the vertex form of the quadratic equation?
For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
Here we have:
[tex]g(x) = x^2 + 2x - 1[/tex]
First, we need to find the vertex. by using the known formula we get:
[tex]h = -2/(2*1) = -1[/tex]
To get the value of k, we need to evaluate g(x) in x = -1.
[tex]g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2[/tex]
So the vertex is (-1, -2), which means that the vertex form is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And its graph can be seen below.
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what is the output value of (4x+2)(x-5)/2 using input value of x=2
Answers
(4x+2)(x-5)/2
(4 . 2 + 2)(2 - 5)/2
(8 + 2)(- 3)/2
10/2 . (- 3)
5 . (- 3)
- 15
Answer: - 15
Answer:
-15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(4x + 2)(x - 5) / 2
x = 2
Step 2: Evaluate
Substitute: (4 · 2 + 2)(2 - 5) / 2Parenthesis - Multiply: (8 + 2)(2 - 5) / 2Parenthesis - Add: 10(2 - 5) / 2Parenthesis - Subtract: 10(-3) / 2Multiply: -30 / 2Divide: -15Find the area of the figure
Answers
Answer:
area=18
Step-by-step explanation:
draw a dotted line so it separates the top part from the bottom and then the area of the bottom part is 6x2 which is 12 and then the area of the top is 3x2 which is 6
6+12=18
A proportional relationship is shown in the table below:
xxx 000 333 666 999 121212
yyy 000 0.50.50, point, 5 1.01.01, point, 0 1.51.51, point, 5 2.02.02, point, 0
What is the slope of the line that represents this relationship?
\qquad
Graph the line that represents this relationship.
Answers
Answer:
1/6
Step-by-step explanation:
1,6
Answer:
1,6
(0,0); (6,1)
Step-by-step explanation:
help mw with thes two plz owo
Answers
Answer:
for the first one y would be zero
for the second one c would be -13/3
Please help quickly I will give brainliest to the first correct response!
Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.
Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.
What is the x intercept and what does it mean?
What is the y intercept and what does it mean?
Answers
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.
Step-by-step explanation:
Answer:
When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
The polygons are similar. Find the value of x and y.
Answers
Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{x-1}{6}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
[tex]\frac{y+1}{21}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
Write the value of pi correct to
six decimal places.
Please answer quick
Answers
Answer:
3.141592
Step-by-step explanation:
Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.
Answers
Answer:
A and C
Step-by-step explanation:
1. What is the median weight of the Welsh corgis? What does the median tell you about their weights?
Answers
Answer:
Male: 22–31 lbs (10–14 kg), Female: 22–29 lbs (10–13 kg)
Step-by-step explanation:
Median tells the average weight. Like, what your corgi might weight.
The median tells us about the center level of all the weights.
What is Median?The median is a statistical measure that represents the central value of a dataset when it is arranged in ascending or descending order. It is the value that separates the higher half of the data from the lower half.
From the given table, we can determine that the median weight of the Welsh corgis is 27.3. The median represents the middle value of a dataset when it is arranged in ascending or descending order.
In this case, it tells us that half of the Welsh corgis in the sample have weights below 27.3, and the other half have weights above 27.3.
So, the median tells us about the center level of all the weights.
Learn more about Median here:
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help please i would give 20 points if you do
Answers
Answer:
6 1/10
Step-by-step explanation:
Answer
6 1/10
Step-by-step explanation:
2 3/5+3 1/2
2+3=5
3/5=6/10 find the common denominator 1/2=5/10
6/10+5/10=11/10
11/10=1 1/10
5+1 1/10= 6 1/10
I need to find x can some one show me how to do It
Answers
Answer:
x=4
Step-by-step explanation:
Because 3x4 = 12, and 12 is the number on the other side of the triangle because the sides are equal.
Hope this helps! :)
What is the measure of ∠EGF?
°
What is the measure of ∠CGF?
Answers
Answer:
measure of <EGF =65°
measure of <CGF=115°
Step-by-step explanation:
180°-50°=130°
130°:2=65°
180°-65°=115°
Answer:
Angle EGF is 65 degrees
Angle CGF if 115 degrees
Direction:Determine between what two integers the following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MODULE
Answers
Answer:
following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MO
simplify
21-(x+7)
how do i solve it.
Answers
21 - x - 7 Then we simplify
14 - x
Or if it’s equal to 0 and you need to isolate the x then it’s
x = -14
Award me brainliest please if this helped
The actual packing volume in cubic feet, p(s), within a packing crate depends on the length of the side of the base, s, in feet, and of the square-based supports by spanning placed at each corner. This relationship is represented by the table.
If the bases of the supports never have dimensions greater than feet by feet, which statements describe the function represented in the table and the given information? Select two options.
The function is cubic.
D = {R} and R = {R}
R = {15.625 ≤ p(s) ≤ 91.125}
The function has constant second differences.
Answers
Answer:
B and D sorry
Step-by-step explanation:
Got it right on my test :)
Answer:
2 and 4
Step-by-step explanation:
You buy a 5-pound bag of sugar. What is its mass in grams?
Answers
Answer:
2270 grams
Step-by-step explanation:
Answer:
5 pounds = 2267.96 grams
Simplify -3√72
A
-18√6
B
-6√6
C
-18√2
D
6√2
Answers
Answer:
C. -18√2
Step-by-step explanation:
What tool do I use on this? (picture needed)
Answers
Answer:
a screw driver
Step-by-step explanation:
you can use an electric one if you want to.
Answer:
Allen key
Step-by-step explanation:
help now give me like yuuuuh
Answers
Answer:
Step-by-step explanation:
D
Which of the following tables of equivalent ratios is completed correctly? Choose all that apply. Show your work.
The first picture is A
The second one is B
And the third one is C
Answers
Express 10500 in terms of its prime factors
Answers
Step-by-step explanation:
[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]
Find the value of x in the triangle shown below.
16
12
Answers
Answer:
20
Step-by-step explanation:
x + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial
Answers
Answer:
The zeros of the polynomial are -1 and 5
Step-by-step explanation:
Quadratic Equation Solving
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]x+x^2-5x-5=0[/tex]
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
[tex]x^2-4x-5=0[/tex]
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
[tex]d=b^2-4ac[/tex]
[tex]d=(-4)^2-4(1)(-5)=16+20=36[/tex]
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
[tex]\displaystyle x=\frac{4\pm \sqrt{36}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{4\pm 6}{2}[/tex]
Dividing by 2:
[tex]x=2\pm 3[/tex]
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.
Answers
9514 1404 393
Answer:
m∠H = 138°
Step-by-step explanation:
Perhaps you have ΔHIJ and want the measure of ∠H.
∠H +∠I +∠J = 180°
(8x-6) +(2x-4) +(x-8) = 180
11x -18 = 180 . . . . . . collect terms
11x = 198 . . . . . . . . . add 18
x = 18 . . . . . . . . . . . divide by 11
Then angle H is ...
m∠H = (8(18) -6)°
m∠H = 138°
Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5
Answers
What is C
Solve for C
Answers
Answer:
Step-by-step explanation:
68 degree F to C.
9/5c+32=68
C=20
Answer:
The answer is C=20
because 9/5c+32=68
PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answers
Answer:
Veggie soup
Step-by-step explanation:
Plz Mark as brainliest!!!
^^^^
please help :)))
Answers
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
PLEASE MARK ME AS BRAINLIEST IF U LIKE MY ANSWER AND SORRY FOR GIVING THE ANSWER LATE BECAUSE I'VE GIVEN U ANSWER FROM MY LAPTOP PLEASE TELL THAT IT'S CORRECT OR NOT