I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is 
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is : 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
9514 1404 393
Answer:
11
Step-by-step explanation:
X'Y' = 2XY . . . . lengths are related by the dilation factor
22 = 2XY . . . substitute the given value
11 = XY . . . . . divide by 2
The measure of side XY is 11.
Answer:
7. ○ ∆<em>ACB</em> ≅ ∆<em>DFE</em>
6. ○ 
5. ○ 
4. ○ 
3. ○ 
2. ○ 
1. ○ 
Step-by-step explanation:
7. Everything is in correspondence with each other, so just follow the pattern in the order the they were originally.
6. All angles correspond with each other, so just follow the pattern.
5. All segments and angles correspond with each other, so just follow their patterns.
4. An <em>octagon</em><em> </em>has eight sides, a triangle has three sides, a <em>hexagon</em> has six sides, and a <em>pentagon</em><em> </em>has five sides. With this being stated, you have your answer.
3. In a previous lesson, we confirmed that <em>all squares </em><em>are</em><em> </em><em>rectangles</em><em> </em>because it is a quadrilateral with four right angles.
2. This is obviously a rhombus because it is a quadrilateral with four congruent angles and sides.
1. An EQUILATERAL TRIANGLE is a regular polygon because they have three congruent angles and sides.
I am joyous to assist you anytime.
Answer:
Its 16
Step-by-step explanation:
i had the same question and this was the answer on the unit test
Answer:
$2,297.76
Step-by-step explanation:
Present value: P = 2000
Future value: F
Annual interest rate: r = 3.5% = 0.035
Time: t = 4 years
Number of compounding periods per year: n = 2
Answer: $2,297.76
