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butalik [34]
3 years ago
8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Below is a drag and drop geometric proof. Complete the proof in your notebook. Click once to select an item at the bottom of the problem. Click again to drop the item in its correct place.

Prove C-2 as an activity.


Given: ∆ABC ~ ∆RST
∆DEF ~ ∆RST

To Prove: ∆ABC ~ ∆DEF

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Let me fill in the statement reasoning for you:

Statement         |           Reasoning

∆ABC ~ ∆RST               Given

∆DEF ~ ∆RST                

∠A = ∠R, ∠D = ∠R         Definition of ~ ∆

∠C = ∠T, ∠F = ∠T          

∠A = ∠D,∠C = ∠F          Transitivity

∆ABC ~ ∆DEF                AA

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I really need help asap!!
Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are (12b+8)^\circ,(5b+2)^\circ,2a^\circ.

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

(12b+8)^\circ+(5b+2)^\circ=180^\circ       (Supplementary angles)

(17b+10)^\circ=180^\circ

17b+10=180

Subtract 10 from both sides.

17b=180-10

17b=170

Divide both sides by 17.

b=\dfrac{170}{17}

b=10

Now,

(5b+2)^\circ=(5(10)+2)^\circ

(5b+2)^\circ=(50+2)^\circ

(5b+2)^\circ=52^\circ

And,

(5b+2)^\circ+2a^\circ=180^\circ       (Supplementary angles)

52^\circ+2a^\circ=180^\circ

2a^\circ=180^\circ-52^\circ

2a^\circ=128^\circ

Divide both sides by 2.

a^\circ=\dfrac{128^\circ}{2}

a^\circ=64^\circ

a=64

Therefore, the value of a is 64 and the value of b is 10.

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