Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
Answer:
21
Step-by-step explanation:
Let n represent the number we're looking for. Then ...
n × (proteus length) = 3 × (palustris length)
n × 0.7 mm = 3 × 4.9 mm
n = (3 × 4.9 mm)/(0.7 mm) = 3 × 49/7 = 3 × 7
n = 21
You would have to line up 21 amoeba proteus to equal the length of three pelomyxa palustris.
Answer:
Step-by-step explanation:
We are given that
We have to factorize the given expression.
Pair up the terms
Now, taking common factor
Taking common (x+1)
Now, we get
This is required factors of given expression.
Answer: A, The line starts at 9 and ends at 29
The figure consists of a triangle and two rectangles.
-----------------------------
Top Triangle:
-----------------------------
Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
-----------------------------
Middle Rectangle:
-----------------------------
Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
-----------------------------
Bottom Rectangle:
-----------------------------
Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
-----------------------------
Total Area:
-----------------------------
Area = 25 + 70 + 200 = 295 cm²
-----------------------------
Answer: Area = 295 cm²
-----------------------------
