Answer:
Step-by-step explanation:
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)
The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)
The interquartile range of this data set is 15 centimeters. (incorrect, 154-147=17 cm)
The mean height of the students in Mrs. Hill's class is 152.5 centimeters. (we don't get to know the mean height from the graph).
Answer:
Step-by-step explanation:
Because vertical angles are always equal, we want to solve .
We can add 10 to both sides to get .
We can subtract from both sides to get
.
Lastly, we divide both sides by 20 to get .
So, and we're done!
The check is left as an exercise to the reader.
Answer:
As approaches infinity
approaches negative infinity.
Step-by-step explanation:
As you can see in the graph as grows larger in the negative direction, the
increases in the negative direction too.
Thus:
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT =
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO =
=
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°