find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = .8
.8 is the fixed ratio between these two triangles.
to find x:
43 x .8 = 34.4
x = 34.4
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
It’s 40 because it’s closer to 40 than 30
Answer:
-23/16
Step-by-step explanation:
Make it a fraction (f/g) then substitute X with 7
3x+2
_____ (7) =
-2x-2
Substitute:
(3x7)+2
_____ = -23/16
(-2x7)-2
The equivalent equation is x² + 20x = -102
<h3>
Simplification of quadratic equation</h3>
The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
<em>collect similar terms together</em>
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: brainly.com/question/1214333
Answer:
The area of the circle is 153.94m²
Step-by-step explanation:
radius = half of diameter
d = diameter
r = 14m / 2 = 7m
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 7m
π = pi
a = π * r²
we replace with the known values
a = π * (7m)²
a = π * 49m²
a = 153.93804 m²
Round to the nearest hundredth
a = 153.93804m² = 153.94m²
The area of the circle is 153.94m²