Answer:70
Step-by-step explanation:
When there is two negative signs like that you're supposed to add. So basically 54 + 16.
182 would be the correct answer
The set of outputs are an ordered list of y-values. The question will ask for all y-values given by the ordered pairs on the graph.
Identify the ordered pairs:
(-5, 4), (-2, -1), (-1, 3), (4, -3)
Take all of the y-values, and put them into a set:
{4, -1, 3, -3}
Order the values from least to greatest:
{-3, -1, 3, 4}
The set that correctly identifies the set of outputs will be the first answer, {-3, -1, 3, 4}.
1. For similar triangles, the ratio of the corresponding sides is constant.
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
45/75 = 30/ EF
EF = (30×75)/45
= 50 in
2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent
4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)
$39 per gallon
$4,368 = cost of total
Divide ⇒ 4368 : 39
<u>4368</u> = 112
39
Solution: 112 gallons.
