Answer:
45 degrees
Step-by-step explanation:
AOB = 140°
and an the angle bisector(OC) is a line which will divide AOB into 2 equal angles
which is 140÷2= 70
and if AOD = 25 then COD= 70-25
= 45 degrees
hope it helps
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Answer:
4/9 * 7 =3.11111111
Step-by-step explanation:
4/9 * 7 =3.11111111
Answer:
<h2>(8, -22)</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The formula of a slope:

First table:
(-4, 26), (0, 10) → b = 10


Second table:
(-4, 14), (0, 2) → b = 2


We have the system of equations:

Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5