x = 4 and EF = 4 ⇒ 3rd answer
Step-by-step explanation:
If two triangles are congruent, then
1. Their corresponding sides are equal
2. Their corresponding angles are equal
3. Their areas and perimeters are equal
∵ △ ABC ≅ △ DEF
∴ AB ≅ DE
∴ BC ≅ EF
∴ AC ≅ DF
∵ BC = 4 x - 12
∵ EF = -3 x + 16
∵ BC = EF
∴ 4 x - 12 = -3 x + 16
Let us solve the equation to find x
∵ 4 x - 12 = -3 x + 16
- Add 3 x for both sides
∴ 7 x - 12 = 16
- Add 12 to both sides
∴ 7 x = 28
- Divide both sides by 7
∴ x = 4
Substitute the value of x in the expression of EF
∵ EF = -3 x + 16
∵ x = 4
∴ EF = -3(4) + 16 = -12 + 16
∴ EF = 4
x = 4 and EF = 4
Learn more:
You can learn more about congruence of Δs in brainly.com/question/3202836
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Answer:
72°
Step-by-step explanation:
here's your solution
=><em> </em><em>we </em><em>know</em><em> </em><em>angle </em><em>A </em><em>+</em><em> </em><em>angle</em><em> </em><em>S </em><em>=</em><em> </em><em>2</em>
<em>=</em><em>></em><em> </em><em>angle </em><em>2</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>4</em><em>2</em><em>°</em>
<em>=</em><em>></em><em> </em><em>7</em><em>2</em><em>°</em>
<em>hope</em><em> it</em><em> helps</em>
In the first row of an augmented matrix, we put all the slope constants there.
[3/4
[-8
We have no terms for the next column, so we'll put 1's there.
[3/4 1
[-8 1
Finally, we put the y intercepts in the last column.
[3/4 1 | -6]
[-8 1 | 2] (Choice B, Choice 2)
:)
Answer:
175 ride the bus
Step-by-step explanation:
28% of 1250 = 350
350 ÷ 2 = 175
So, in this problem you already have the equations set up for how much money each one works. You have Jim, earning a starting amount of $35, plus an additional $3 for every hour he works. You also have John, who gets $8.
The variable in the equations is h, which stands for hours. From there, you can put the three different h values (6, 7, and 8) into the equations to see who gets more money.
For instance, for Day 1, Jim gets 35+3x6 dollars, or 35+18=$53, while John gets 8x6 dollars, or $48. You can substitute in 7 and 8 and do the same process to get the answers for Day 1 and 2.
Hope this helps!
