Answer:
m<PQS = 82°
m<RQS = 59°
Step-by-step explanation:
m<PQS = (13x + 4)°
m<RQS = (10x - 1)°
m<PQR = 141°
To find each angle measure, find the value of x.
First, get an equation that defines the relationship between the angle measures as follows:
m<PQS + m<RQS = m<PQR (angle addition postulate)
(13x + 4)° + (10x - 1)° = 141°
Use the equation to solve for x
13x + 4 + 10x - 1 = 141
Combine like terms
13x + 10x + 4 - 1 = 141
23x + 3 = 141
Subtract 3 from each side of the equation
23x + 3 - 3 = 141 - 3
23x = 138
Divide each side by 23
23x/23 = 138/23
x = 6
m<PQS = (13x + 4)°
Plug in the value of x
m<PQS = 13(6) + 4 = 78 + 4
m<PQS = 82°
m<RQS = (10x - 1)°
Plug in the value of x
m<RQS = 10(6) - 1 = 60 - 1
m<RQS = 59°
It’s apart or our history duh..
Answer/Step-by-step explanation:
Volume of a sphere = ⁴/3πr³
1. r = ½ of 14.4 = 7.2 in.
Volume = ⁴/3 × π × 7.2³ = 1563.46 ≈ 1563.5 in.³
2. r = 6 yd
Volume = ⁴/3 × π × 6³ = 904.78 ≈ 904.8 yd³
3. r = 8 mm
Volume = ⁴/3 × π × 8³ = 2144.66 ≈ 2144.7 mm³
4. r = ½ of 13.5 = 6.75 cm
Volume = ⁴/3 × π × 6.75³ = 1288.25 ≈ 1288.3 cm³
5. r = 4.7 in.
Volume = ⁴/3 × π × 4.7³ = 434.89 ≈ 434.9 in.³ (nearest tenth)
Spacing needs to be more clear instead of having a giant paragraph. you do not write math in giant paragraphs do you
<span> 6,632,512
</span><span>the place value of the 3 is 30,000
hope it helps</span>
