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Mazyrski [523]
3 years ago
11

The rectangle shown is translated 6 units to the left. Which ordered pair is NOT a vertex of the image? (A 2, -2) (B -10, 5) (C

-5, -2) (D -5, 5)
[Look at the picture that goes with the problem.]

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
Use the figure above as a reference. Identify the vertices of the rectangle before translation, the vertices are (-4,5), (1, 5), (-4,-2), and (1, -2). After translation of 6 units to the left, only the x-coordinates of the vertices are affected. Since the translation is to the left, subtract 6 from the x values of the vertices. Therefore, the vertices after translation are: (-10, 5), (-5, 5); (-10, -2) and (-5, -2). 

The ordered pair not in the new set of vertices is (2, -2).
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A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the
laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

\text{Length of each part}=\frac{208}{16}

\text{Length of each part}=13

Length of each part will be 13 yards.                

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

\text{Length of unpainted strip}=13-4

\text{Length of unpainted strip}=9    

Therefore, length of each unpainted strip will be 9 yards.

5 0
3 years ago
Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey
victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

  • She is standing 48 feet in front of Lester
  • Carey is sitting to Lester's right
  • Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0
3 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
3 years ago
Let x represent the larger number4x+(x-2)^2=16
12345 [234]

I have no clue I just need the points have a good day tho :)

5 0
2 years ago
Which of the following points lies on the graph of the function y = 8x?
nignag [31]
Y = 8^x
For (0, 1): 1 ≠ 8^0 = 1
For (8, 1): 1 ≠ 8^8 = 16,777,216
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For (0, 8): 8 ≠ 8^0 = 1

Therefore, option 3, (2, 64) is the correct answer.
8 0
3 years ago
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