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Paha777 [63]
3 years ago
11

2 lines intersect a horizontal line to form 8 angles. Labeled clockwise, starting at the top left, the angles are: A, B, C, D, E

, F, G, D. Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ≅ ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

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In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
Which side lengths form a right triangle?
Natalija [7]

Answer:

this is kinda confusing..So ill just answer the first question.

<h3>Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.</h3>

hope it helps.

5 0
3 years ago
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select anoth
Marina86 [1]
That events are independent
4 0
3 years ago
Whats the perimeter ​
pav-90 [236]

Perimeter is the distance around the shape.

Formula for rectangle  P = 2l + 2w

7 0
3 years ago
Read 2 more answers
NEED HELP PLEASE!!!<br><br> Given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?
GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

      - f(x) = -(9x+4)         Note:  Use parentheses as shown here.

--------------------

g(x) - f(x) = -14x - 3

6 0
3 years ago
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