Answer:
(2,8) or (2,-8)
Step-by-step explanation:
The two points already given are 8 units apart, so the third point would have to be either 8 units upward or 8 units downward. Now for an equilateral triangle, the x-coordinate has to be a number between the x-coordinates of the points already given, in this case, -2 and 6. On a coordinate plane, the middle x-value is 2. Therefore, the ordered pairs that make the most possible coordinates of vertex R are (2,8) or (2,-8) depending on whether you want the point of the triangle to face upward or for it to face downward.
Answer:
In both cases, we have similar figures.
This means that the shape of the figures is the same, but the size is different:
PQST is similar to STNR and to NRPQ
VUYZ is similar to YZWX and to VUWX
this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.
With this in mind, we can solve the problem:
18)
ST = 7.5
NR = 5.5
Then the quotient ST/NR is:
ST/NR = 7.5/5.5
And, as we said above:
PQ/ST = ST/NR
PQ/7.5 = 7.5/5.5
PQ = (7.5/5.5)*7.5 = 10.23
19) Here we should have:
YZ/VU = WX/YZ
Then:
22.9/35 = WX/22.9
(22.9/35)*22.9 = WX = 14.98
Answer:
x= -8
Step-by-step explanation:
2-4x=34
-4x=32
x=-8
Answer:
2%
Step-by-step explanation:
15.7 is 2% of 785
Hope this helps :)
Answer:
A
Step-by-step explanation:
90-49=41
41-3=38
49+(38+3)=90