Answer:
A.
Step-by-step explanation:
r=diameter/2
radius=52/2 (Q)
Q =26
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
Answer:
About 67%
Step-by-step explanation:
This is a conditional relative frequency. There are 36 students who are aged 14-17 and 24 of them skip breakfast. Therefore, the answer is 24/36 = 2/3 ≈ 67% (ans)
Answer:
M(x,y) = (0,0)
Step-by-step explanation:
The endpoints are (2,2) and (-2,-2)
<u><em>Let's find the midpoint now</em></u>
=> M(x,y) = 
=> M(x,y) = 
=> M(x,y) = 
=> M(x,y) = (0,0)
1. 2300-12:00=11:00pm
2. x+48+29=180° in a triangle
x=103°
3. 9 is in the one-hundredth place
4. 159,000
5. 298×21=6258 but to estimate you can get close with 300×21=6,300
6. 5.3×7=$37.10
7. 258,008-10,000=248,008
8. 1/4+1/2+7/8
LCD is 8 so 2/8+4/8+7/8 so (2+4+7)/8=13/8
