Answer:
104
Step-by-step explanation:
32+22+20+30=104
Since the figures are congruent, their side lengths are the same. Each figure has half of the side lengths provided to you. Take the 32 and 22 from A'B'C'D' and combine it with the 20 and 30 from ABCD and add them all together to get 104.
This triangle is a special triangle: 45 - 45 - 90
Both of the legs (L) have the same value. The hypotenuse is H = L√2
So instead of L, you would put the value of the leg, which you have is 4
The hypotenuse, or x, is equal to 4√2
Answer:
15.3
Step-by-step explanation:
18-(18×(15%))= 15.3
Answer:
x = 58 and y = 15
Step-by-step explanation:
(c)
The sum of the 3 angles in a triangle = 180°
In Δ ADE
∠ DAE = 180° - (50 + 72)° = 180° - 122° = 58°
∠ DAE and ∠ CAB are vertical and congruent, thus
x = 58
(d)
Δ ACD is equilateral thus all 3 angles = 60°
∠ CAB and ∠ CAD are adjacent and supplementary, thus
∠ CAB = 180° - 60° = 120°
Since CA = BA then Δ ABC is isosceles with base angles congruent, thus
2y + 2y = 60
4y = 60 ( divide both sides by 4 )
y = 15
The measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
<h3>Calculating the measures of angles </h3>
From the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (<em>Vertically opposite angles</em>)
∴ b = 112°
Also,
112° + c = 180° (<em>Sum of angles on a straight line</em>)
c = 180°- 122°
∴ c = 68°
Hence, the measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
Learn more on Calculating the measures of angles here: brainly.com/question/12274210
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