Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation:
In ΔWXY and ΔBCD
Given Sides are congruent:
Also,
Angles are congruent i,e:
By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.
Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.
Answer:
(D)
<u>Use the law of sines:</u>
- 13 / sin x = 12 / sin 67°
- sin x = 13 sin 67° / 12
- sin x = 0.997
- x = arcsin (0.997)
- x = 85.6°
(E)
<u>Find the third angle:</u>
<u>Use the las of sines:</u>
- x / sin 61° = 21 / sin 71°
- x = 21 sin 61° / sin 71°
- x = 19.4 cm
Answer:
A segment which ends points on a circle is a Chord.
Answer:
1. The change per week is $40 as it is the coefficient.
2. The starting amount is $550 as it is the constant.
Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK = 
m∠HJK
∵ m∠HLK = 18°
∴ 18 = m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
