4b. Laura has a 12-foot ladder. The safety instructions recommend the
base of the ladder be placed 4 feet from the base of the wall. How highwill the ladder be able to reach on the wall? WRITE YOUR ANSWER AS A SIMPLIFIED RADICAL. (HINT: Use the abbreviation sqrt to mean "square root of." For example an answer might look like 5sqrt3, and be read "five times the square root of 3".)
Step-by-step explanation:
2x² + 8y = 121.5
x² - 8y = 121.5
Add the equations together to eliminate the y terms.
3x² = 243
x² = 81
x = 9
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
Forget about the minus sign until you're done, then slap it back on.
-1 1/2 = -(1 1/2) = -(3/2) = -3/2
