9514 1404 393
Answer:
BE = 266 2/3
PE = 233 1/3
Step-by-step explanation:
<u>Part A</u>: The figure has 3 triangles, all similar. In order of shortest-to-longest side lengths, they are ...
ΔBPE ~ ΔBCG ~ ΔGRE
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<u>Part B</u>: They can be declared similar by the AA postulate. For BPE and BCG, the angles at B are vertical angles, so are congruent. The angles at C and G are alternate interior angles, so are congruent.
For triangles BPE and GRE, angle E is congruent to itself, The angles at R and P are corresponding angles, so are congruent.
(Remember, GRPC is a parallelogram, so any line in the figure is a transversal crossing parallel lines.)
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<u>Part C</u>:
From parts A and B, we know ΔBPE ~ ΔBCG. Corresponding sides are proportional:
BP/BC = BE/BG = PE/CG
200/300 = BE/400 = PE/350
BE = (400)(2/3) = 266 2/3
PE = (350)(2/3) = 233 1/3
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
Exact Form:
y = 5
/2
Decimal Form:
y = 2.5
Mixed Number Form:
y = 2 and 1
/2
Step-by-step explanation:
Hope this helps! Have a great day!
Answer:
2. (5, -5)
3. (-3, 2)
4. (2, 4)
Step-by-step explanation:
Each vertex can be found using two simple steps.
1) The number being added or subtracted from x.
-The x coordinate of your vertex is the opposite of that number.
2) The number after the absolute value symbol.
-The y coordinate is that value.
<u>Your answer is 28x^2-37x+12</u>
<u>1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd</u>
28x^2-21x-16x+12
<u>2) Collect like terms</u>
28x^2+(-21-16x)+12
<u>3) Simplify</u>
28x^2-37x+12
Answer: 7 Inches
Step-by-step explanation:
From the above question, we were provided with the height of the triangle which is 12 Inches and the subsequent area which is 42, and the question was to find the base of the triangle. One of the formula for the area of a triangle is the:1/2(b*h).
From here,we substitute h for the value 12 and we will have 1/2(b*12)=84.Cross multiply and we have something looking like this:12b=84,then divide both sides by 12 and we have our answer as 7 inches.