The value of x is 27°.
Solution:
Given 
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
1900M
Step-by-step explanation:
If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park
Perimeter of a rectangle = 2 x (length + width)
2 x (60 + 35) = 190m
Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m
Answer:
Step-by-step explanation:
we know that
The value of sine of an angle in a right triangle is equal to the opposite side of the angle divided by the hypotenuse
so
Answer:
Step-by-step explanation:
<u>Given</u>
a)
- DC /AB = 3/2 ⇒
- DC = 3/2AB = 3/2p
b)
- BC = AD + (DC - AB)
- BC = q + (3/2p - p) = q + 1/2p
<span>A
scale factor is the ratio of two similar geometric figures of their
corresponding sides. The scale factor is calculated by locating the
corresponding sides on each figure. We calculate as follows:
scale factor = 9/30 = 0.3
Hope this answers the question. Have a nice day. </span>
