Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
<span>Q = y 2 = m p= x and 1/2 = + b :D
Anything with + ____ is the same as + b, and anything with a number and a variable after is equal to mx, and anything equal to something is the same as y =.
Hope I helped! c:</span>
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Answer:
An exponential equation will have a term that is squared (the tiny two that is after a number) and a linear equation will not.
x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
<u>Vertical angle theorem:</u>
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
