Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
It is about 13,848 because 4616 x 3 = 13,848 I know cause I plugged it in to my calculator
Answer:
the amount borrowed is ≅ $527
Step-by-step explanation:
Given that;
simple interest rate r = 180% p.a
Let the amount borrowed (principal) be $x.
time t = 4 weeks = 28 days
= 28/365 year
= 0.0767 year
we all know that :


Simple interest = 0.13806x
Total amount to be paid after 4 weeks= Interest+Principal
= x + 0.13806x
= 1.13806x
Thus;
1.13806x = $600
x = $600/ 1.13806
x = $527.21
Hence; the amount borrowed is ≅ $527
To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.
V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³