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Which graph shows the result of dilating this figure by a factor of One-third about the origin?

A.) On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).

B.) On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).

C.) On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).

D.) On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).

Answer:

3/2

Step-by-step explanation:

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Answer:

x = 10

Step-by-step explanation:

Angles are congruent b/c of the corresponding angles thm

6x + 8 = 3x + 38

3x = 30

x = 10

Answer:

x^2-x-3

Step-by-step explanation:

x^2-2-x-1

x^2-x-3

Answer:y=x+5

Step-by-step explanation:

Answer:

[tex]\sqrt{65}[/tex] is the closest to 8

Step-by-step explanation:

[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]

Answer: The blue circle is 62.83 and the orange is 31.42

Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.

Answer:

$50

Step-by-step explanation:

hoped I helped

and p.s. dont click the link

Answer:

the answer is 30

Answer:

a trapezoid can have either 2 right angles or no right angles at all

Step-by-step explanation:

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Answer:

this one (look attachment):

Answer:

64 pi

Step-by-step explanation:

Area of a circle is pi(r) ^ 2

The radius is half the diameter, so it would be 8 mi.

Pi ( 8 ) ^ 2

Pi ( 64 )

It would be 64 pi

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Answer:

9#  415     10# 2 hotdogs and one hamburger

Step-by-step explanation:

Hope this helps!!!  

have a great day!

Answer:

just multiply

76x475=36100 apples

Answer: This is kinda confusing but I would say no

Step-by-step explanation: Because they would be congruent if the little line in JKD is in the middle of JK  instead of KD.

Answer:

The traingles are not congruent.

Step-by-step explanation:

ang A=ang J

ang L=ang K

LA=KD

So, u must have thaught that the triangles are congruent by ASA. But it's not true.

The Angle-Side-Angle criterion states that the two triangles can only be congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

But here, the LA is the included side but KD is not. In order to be congruent, LA must congruent to KJ of ∆JKD.

Answer:

[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]

Answer:

its sas side angle side plz mark me branliest

Answer:

a) Z = 2.33

b) Z = 1.7

c) Z = 1.65.

d) Z = 0.84.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.

A. The area to the right of z is 0.01.

Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.

B. The area to the right of z is 0.045.

Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7

C. The area to the right of z is 0.05.

Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.

D. The area to the right of z is 0.2.

Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.

Answer:

See Below.

Step-by-step explanation:

We want to verify the trigonometric identity:

[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]

For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:

[tex]\cos^2(u)-\sin^2(u)[/tex]

Recall the double-angle identity formula(s) for cosine:

[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]

Therefore, our identity becomes:

[tex]=\cos(2u)[/tex]

Back-substitute:

[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]

Hence proven.

cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.

Replacing A with 5x:

=> cos²(5x) - sin²(5x) = cos²(10x)

Moreover,

cos(A + B) = cosAcosB - sinAsinB.

When A = B,

cos(A + A) = cosAcosA - sinAsinA

cos2A = cos²A - sin²A

You can do the same with 5x.

cos(10x) = cos(5x + 5x)

cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)

cos(10x) = cos²(5x) - sin²(5x)

Answer:

A = 8.75 cm²

Step-by-step explanation:

Given that,

Radius, r = 5 cm

The arc length, l = 3.5 cm

We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,

[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]

The formula for the area of sector when [tex]\theta[/tex] is in radian is  given by :

[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]

So, the area of the sector is 8.75 cm².

Answer: (b)

Step-by-step explanation:

Given

the radius of circle r=5 cm

arc length  [tex]l=3.5\ cm[/tex]

Arc length is also given by

[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]

[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]

Area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]

Answer:

SIMPLIFY:

1.4x + 5x=9x

2.7y - 2y=5y

3.8 X a=8a

Step-by-step explanation:

1.4+5=9 and then just add X

2.7 - 2=5 and then just add y

3.8 X a=8a cause in the question there is no value of a

hope this help :)

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

x+10<78

Step 1: Subtract 10 from both sides.

x+10−10<78−10

x<68

Answer:

x<68

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Answer:

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

Substitute values and solve:

Step-by-step explanation:

x-3=14

x=14+3

x=17

verification

x(17)-3=14

17-3=14

14=14