Answer:
(11, 12)
Step-by-step explanation:
<u>Mid point coordinates:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:</u>
- x₂ = 2x - x₁ = 2*10 - 9 = 11
- y₂ = 2y - y₁ = 2*4 - (-4) = 12
<u>So the other endpoint is: </u>(11, 12)
A is the correct answer. 23/40=0.575 and 4.6/8= 0.575 as well.
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
Answer:
$320
Step-by-step explanation:
From simple interest formular
A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained
int=Rt where R is rate of interest in decimal form, t is duration
The rate of 10% converted to decimal is 10/100=0.1
Substituting P for $3200, R for 0.1 and t for 1 year
A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520
To find the interest, it's A-P hence $3520-$3200=$320
Therefore, interest owed is $320
