Answer:
FG = 16
Step-by-step explanation:
we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate
this means that FG = GH
we can use this equation to solve for 'x':
x + 11 = 3x + 1
11 = 2x + 1
10 = 2x
5 = x
FG = x + 11 or 5 + 11, which is 16
Answer:
Explanation:
From the question, we are told that a pet shop sells guinea pigs and goldfish and that the ratio of guinea pigs to goldfish is 20:28.
a) Give this ratio in its simplest form.
The ratio of guinea pigs to goldfish is 20:28. The highest common factor to 20 and 28 is 4. Therefore 20 = 4 × 5 and 28 = 4 × 7. So, the ratio in its simplest form will be 5:7.
b. The shop has a total of 120 guinea pigs and fish. Work out the number of guinea pigs the shop has.
The ratio of guinea pig and goldfish is 5:7. If the shop has a total of 120 guinea pigs and fish, the number of guinea pigs the shop has will be:
= 5/12 × 120
= 5 × 10
= 50 guinea pigs
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
A is the answer sorry if I’m wrong
Answer:
4
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
x² + y² = 16 is a circle with center (0, 0) and radius 4.
