Answer:
The value of x is 144°
Step-by-step explanation:
<em>Let us revise some facts about the circle</em>
- The measure of the circle is 360°
- The length of the circle is 2πr (circumference)
- If the length of an arc is a/b of the circumference (its length = a/b ×2πr), then the measure of the arc is also a/b of its measure (its measure = a/b × 360°)
- The measure of any central angle equals the measure of its subtended arc
<em>In the given question</em>
∵ A is the center of the circle
∴ Angle x is a central angle subtended by arc BC
∴ The value of x = the measure of arc BC
∵ The length of the arc BC is 2/5 of the circumference of the circle
∴ The measure of arc BC is 2/5 of the measure of the circle
∵ The measure of the circle = 360°
∴ x = 2/5 × 360°
∴ x = 144°
The value of x is 144°
Step-by-step explanation:
AB = CD
3x + 10 = 5x
2x = 10
x = 10/2
x = 5 ans
AB = CD = 25 ans
Answer:
2x^2 - 8x
Step-by-step explanation:
2x(x-4). Distribute.
(2x*x)+(2x*-4)
2x^2+(-8x)
2x^2 - 8x
Answer:
Read below
Step-by-step explanation:
11. YX = 4.5
RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by 0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.
12. 55°
All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.
13. 4.2
BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.
I hope this helps :))