9) Area of Figure = Area of rectangle + area of triangle
A = 17 * 22 + (1/2 * 12 * 19)
A = 374 + 114
A = 488 cm²
10) Area of Figure = Area of rectangle + area of triangle
A = 8 * 4 + (1/2 * 3*4)
A = 32 + 6
A = 38 cm²
Hope this helps!
Decide whether the statement is true or false. If false, provide a counterexample.
1. The equation 2x - 7 = 5 + x has exactly one solution TRUE
2. If x^2 = 16, then x must equal 8 or -8 TRUE
3. February 14 is Valentine's Day TRUE
4. If you visisted the Statue of Liberty, then you've been to New York TRUE
5. A point may lie on at most two lines FALSE A point may lie on more than zero to an infinite number of lines.
Write the converse and contropositive of each statement.
6. If you like tennis, then you play on the tennis team FALSE You don't have to. Haha.
7. If x is odd, then 2x is even TRUE
8. If m
Answer:
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Step-by-step explanation:
Include a Claim, Evidence, Explanation, and Conclusion for full credit.
Cells were obtained from a patient with a viral infection. The DNA extracted from these cells consisted of two forms: double-stranded human DNA and single-stranded viral DNA. The base composition of these two forms of DNA are shown in the image.
Construct an argument based on evidence to determine which form was the viral DNA and which form was the human DNA.
Answer:
Step-by-step explanation:
We need a system of equations for this. The first sentence in the problem tells us the first equation. "Sum" means we are adding, "is" means equals. Therefore, the first equation is
x + y = 10.3
The second sentence tells us the second equation. "Difference" means to subtract. Therefore, the second equation is
x - y = 2.84
It would be best to solve this by elimination (also called addition). Line them up one over the other so the variables also line up:
x + y = 10.3
x - y = 2.84
And as you see, when you add straight down, the y's eliminate each other, leaving us with
2x = 13.14 and divide by 2 to get that
x = 6.57
Now plug that in for x to solve for y in either one of the equations. I'll use the first one:
6.57 + y = 10.3 so
y = 3.73