In this parallelogram, by definition angles 2 and 3 are alternate interior and have the same measure, and angle 1 and 37degrees have the same measure. So angle 1 = 37. the other angle inside there that's not marked is supplementary with 63, so it measures 180 - 63 = 117. So angle 3, then, by the Triangle angle-sum theorem measures 180 - 37 - 117 = 26. As stated earlier, angles 2 and 3 are the same, so 2 is also 26. And I think we got them all! 1=37, 2 and 3 = 26.
Given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
<h3>What is an Isosceles Triangle?</h3>
The two base angles of any isosceles triangle are always congruent to each other.
Therefore:
m∠CBD = m∠CDB
m∠CBD = 180° - 125° (supplementary angles)
m∠CBD = 55°
Therefore:
m∠CBD = m∠CDB = 55°
In summary, given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
Learn more about isosceles triangles on:
brainly.com/question/11884412
You didn't put any options but any ratio that 4.2:1 doesn't go into is not equivalent.
Hope this helps :)
The answer is 10.52 meters
4.39+6.13=10.52
hope this helps !
3. Hypotenuse 8m, the usual 45/45/90 triangle sides in ratio 1:1:√2. So we're 8/√2 = 4√2 from the wall.
Answer: 4√2 meters
4. 30/60/90 right triangle, sides in ratio 1:√3:2. Hypotenuse 50m, we're after the side opposite 60, so 50/√3 = (50/3) √3
Answer: (50/3)√3 meters
5. 45/45/90 again, ratio 1:1:√2. Leg 3 cm so hypotenuse 3√2
Answer: 3√2 cm
6. The altitude divides the triangle into two 30/60/90 triangles, ratio 1:√3:2.
The side length s of the original equilateral triangle is the hypotenuse and the altitude h is the long leg, so h= (√3/2) s.
Answer: a. 3√3 cm b. 2√3 cm c. 5√3 cm
