Let
x------> Cathy's<span> ages
</span>y------> Tony's ages
we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2
substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43
the answer is
Cathy's ages is 43 years
Tony's ages is 22 years
Answer:
C. square
Step-by-step explanation:
<u>Congruent</u> means "the same" (having the same shape and size).
Any four-sided, 2-dimensional shape with straight sides is called a <u>quadrilateral</u>.
There are 6 special types of quadrilaterals:
<u>Rectangle</u>
- Opposite sides are parallel and equal in length
- All interior angles are 90°
<u>Square</u>
- All sides are equal in length
- All interior angles are 90°
<u>Rhombus</u>
- All sides are equal in length
- Opposite sides are parallel
- Opposite angles are equal
<u>Parallelogram</u>
- Opposite sides parallel and equal in length
- Opposite angles are equal
<u>Trapezoid</u>
- One pair of opposite parallel sides
<u>Isosceles Trapezoid</u>
- One pair of opposite parallel sides
- One pair of non-parallel sides equal in length
- Two pairs of equal base angles
<u>Kite</u>
- Two pairs of adjacent sides equal in length
- The angles included between the sides of differing lengths are equal
<u>Conclusion</u>
A four-sided shape that has four congruent angles and sides is a SQUARE.
Answer:
3. 102
4. c
Step-by-step explanation:
For number 3:
(c^2 - a) + b becomes (10^2 - 3) + 5
10^2 = 100
100 - 3 + 5 = 102
For number 4:
Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.
20c - 8d
It's not a, because that would be 20c + 8d
It's not b, because that would be 20c -32d
It is c, because 4 x 5c = 20 c and 4 x -2d = -8d
It's not d, because that would be 20c- 8cd
It would be 5850 hope you get it right:)
