Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives <em>because</em> the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle R<u>ST</u> and triangle X<u>YZ</u>
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle <u>R</u>S<u>T</u> and triangle <u>X</u>Y<u>Z</u>
-> Correct
This means that option A is the correct answer.
The odd numbers between 142 and 156 are these:
143, 145, 147, 149, 151, 153, and 155.
Of these, 143 to the nearest ten is 140.
Likewise, 151 to the nearest ten is 150.
And, 153 to the nearest ten is 150.
Of the seven original numbers, 143, 151, and 153 round to a nearest ten that
is less than the possible mystery number.
To the nearest hundred, 143 goes to 100; 151 goes to 200, and 153 goes to 200.
Of those three, only two round to a nearest hundred that is bigger than the mystery number.
Answer: 151 and 153 are the mystery numbers.
Answer: 119°
Step-by-step explanation:
From the positive y-axis, all angles are measured clockwise
PR = PQ + QR = 5[150°] + 3[60°]
X = 5*sin150 + 3*sin60 = <u>5.1</u>
Y = 5*Cos150 + 3*Cos60 = <u>-2.83</u>
TanA = X/Y
A = -61° = 61° East of South = 119° Clockwise
Therefore, the bearing of R from P is 119°
Answer: the shortest side is 30m
Step-by-step explanation:
Let the shortest side be a meters
If side 2 is 16m longer than the shortest side, then it is (16+a)meters.
The same goes with side 3.
Then,
a + (16+a) + (16+a) = 122m
32 + 3a = 122m
Collecting like terms together,
3a = 122 - 32
3a = 90
Divide by coefficient of a
3a/3 = 90/3
a = 30 meters
Check:
30 + (16+30) + (16+30)
30 + 46 + 46 = 112
