Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below
Hence, in our case
Transform points N, M, and O accordingly,
<h2>Therefore, the answer is the first option (top to bottom)</h2>
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
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(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
Answer:
9 cm
Step-by-step explanation:
If the scale is 3cm:18 km, then x cm : 54km will be the distance between Riverside and Smithville. Since 18 *3 = 54 then 3cm * 3 = 9cm. On the map they are 9 cm apart.
Answer:
C. 3.3 kg.
Step-by-step explanation:
There are 1000 grams in a kilogram.
So 3,000 g = 3300/1000
= 3.3 kg.
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
Plugging values in formula, we get
Taking square root on both sides, we get
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
