Answer:
Yes
Step-by-step explanation:
Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.
Hope that helps!
-Sabrina
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
help please ill give brainliest
The length of a rectangle is triple the width. The perimeter is 54 m. Find the dimensions of the rectangle
Answer:
W = 6.75
L = 20.25
Step-by-step explanation:
2(w + 3w) = 54
8w = 54
w = 6.75
L = 20.25
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
What is the area of sector ACB? Leave your answer in terms of pi.
Answer:
c
Step-by-step explanation:
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?
Answer:
i was number #173
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
You have to find the lcm, and that is 56! Hope that helps.
The rectangle below has an area of 70 square meters.
Find the dimensions of the rectangle.
(x - 11)
(x - 8)
Answer:
The side lengths are 10 by 7
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = (x - 11)(x - 8)
FOIL
70 = x^2 -8x-11x+88
Combine like terms
70 = x^2 -19x +88
Subtract 70 from each side
0 = x^2 -19x +88-70
0 = x^2 -19x+18
Factor
What number multiplies to 18 and adds to -19
-18*-1 =18
-18-1 = -19
0=(x-18)(x-1)
Using the zero product property
x-18=0 x-1=0
x=18 x=1
But x cannot x=1 because then the side lengths would be negative
x-18 = 10
x-11 = 7
The side lengths are 10 by 7
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
Brainliest for the correct answers
Answer:
a) 3a + 8b = 93
Hope this helps!
You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?
Answer:
60 packets
Step-by-step explanation:
Given that :
Unit cost of 20 packets
$5.49 / 20 =$0.2745
Unit cost of 60 packets :
$10.97 / 60 = $0.1828333
Unit cost of 90 packets :
$18.95 / 90 = $0.2105555
The 60 packets has the least cost per unit, hence it is the best buy.
Find the surface area of the cylinder. Use 3.14 for π.
Answer: 87.96 mm^2
Step-by-step explanation:
The formula is 2 π r h + 2 π r^2
So then just substitute the variables.
3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3
Answer:
D. BA = 8, AC = 8√3
Step-by-step explanation:
First, because this is a right triangle, refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:
sine = opposite side/hypotenuse
sin(30) = BA/16
sin(30) / 1 = BA / 16
Cross multiply:
BA = sin(30) (16)
BA = 8
AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:
cosine = adjacent side/hypotenuse
cos(30) = AC/16
cos(30) / 1 = AC / 16
Cross multiply:
AC = cos(30) (16)
AC = 8√3
You can check by using the Pythagorean Theorem:
a² + b² = c²
8² + (8√3)² = 16²
64 + 192 = 256
256 = 256
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
write the expression below in simplest form. 3x^2 + 8x -1+2(x^2 +5x+3) (work shown please!)
Answer:
5x^2+18x+5
Step-by-step explanation:
Answer:
5x² + 18x + 5
Step-by-step explanation:
Given
3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis
= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms
= 5x² + 18x + 5
A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.
Answer:
Step-by-step explanation:
Width: x
Length: x + 3
Height: x + 3 + 4 = x + 7
Volume of prism = area of cross section x length
Area of cross section = width x height = x ( x + 7 ) = x² + 7x
Volume = (x + 4) x (x² + 7x)
= x³ + 7x² + 4x² + 28x
= x³ + 11x² + 28x
The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].
What is volume?Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.
How to calculate volume?We know that volume of rectangular prism is L*B*H.
We have been given that width is x cm.
According to question length will be x+3,
Height will be x+3+4
=x+7
Volume will be =x(x+3)(x+7)
Multiply the expressions,
=x([tex]x^{2}[/tex]+3x+7x+21)
=x([tex]x^{2}[/tex]+10x+21)
=[tex]x^{3} +10x^{2} +21x[/tex]
Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].
Learn more about volume at https://brainly.com/question/463363
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3х + 9 < 39
solve the following inequality
X < 10
Step-by-step explanation:
In ΔRST, s = 5.5 cm, r = 7.8 cm and ∠R=74°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
42.7
Step-by-step explanation:
3s+8s2+9s–3+3+8s please ans this quickk
help plz!!!!!!!!!!!!!!!!!!!!!
What is 74% of 44.I appreciate your help
Answer:
32.56
Step-by-step explanation:
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
Factor 60y - 90 - 20x to identify equivalent expressions
Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
Allison invested $70,000 in an account paying an interest rate of 6.2%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $223,200?
Answer: 19
Step-by-step explanation: j trust me
What’s the slope m and y-intercept b of both these images?
Answer:
Slope = 1
y-intercept = 3
Step-by-step explanation:
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,
Slope = [tex]\frac{3-0}{0-(-3)}[/tex]
Slope = 1
y-intercept of the line = distance between the origin and point of intersection of the line with y-axis
y-intercept = 3
