Answer: 591
Step-by-step explanation:
12 x 13= 156
12 x 5= 60 x 2= 120
12 x 5= 60/2= 30 x2= 60
5 x 12= 60
13 x 15= 195
195 + 60 + 60 + 120 + 156= 591
<h3>
Answer: Choice 3) Triangle ACB = Triangle CAD</h3>
The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.
Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.
Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.
Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.
The cost for carpeting 20 square yards is $230.
Further explanation:
First of all, we will calculate the cost for one square yard then will find the final answer.
So,
Given
Total area = 28 square yards
Cost of carpeting 28 square yards = $322
Cost of carpeting one square yard = 322/28 = $11.5 per square yard
Now to find the cost of carpeting 20 square yards
Cost of 20 square yards = 20*11.5
= $230
The cost for carpeting 20 square yards is $230.
Keywords: Costing, Word Problems
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The y-intercept of the quadratic equation is -47.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given quadratic equation;
f(i) = i² + 10i - 22
or, y = i² + 10i - 22
y = i² + 2.5x - (47-25)
y = i² + 2.5x + 25 - 47
y = (i+5)² - 47
Thus, the y-intercept of the quadratic equation is -47.
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So since 8+12 is in parenthesis, you do that first. 8+12= 20, so then you multiply that by 4 and get 80!