Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Answer:
<h2>3600</h2>
Step-by-step explanation:
Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)
21348000÷5930
Therefore, 213480\div 59.3=3600213480÷59.3=3600.
Answer:
it should be the 3rd one
Step-by-step explanation:
0 < 2/15 < 1/2 < 2
Each number is decimal form:
0 = 0.00
2/15 = 0.13(repeating 3)
1/2 = 0.50
2 = 2.00
How far from each number closet to 2/15:
0.13 - 0 = 0.13
0.50 - 0.13 = 0.37
2/15 is closer to 0.
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
