The image of circle A is missing, so i have attached it;
Answer:
x = 17
Step-by-step explanation:
In Δs EAB and EAD
We are told that;
∠BAE ≅ ∠DAE
AB = AD = AE
Now,
The Two triangles have two corresponding equal sides and the angles between them are equal, thus, we can say that the two triangles are congruent by SAS (Side Angle Side) postulate of congruence
By using the result of congruence, we can say that;
EB ≅ ED
We are given that;
EB = 3x - 24 and ED = x + 10
Thus,
3x - 24 = x + 10
∴ 3 x - 24 = x + 10
Add 24 to both sides to give;
3x = x + 34
Subtract x from both sides to give;
2x = 34
Divide both sides by 2 to give;
x = 17
Let a be the number of trumpet players
Let b be the number of saxophone players
---------------------
(1) a = b-10
(2) b =3a
----------------
Substitute
(2) into (1)
(1) a =3a-10
(1) 2a =10
(1) a = 5and
(2) b = 3(5)(2)
b = 15
------------------
There are 5 trumpet players and 15 saxophone player
Answer:
7/4 - 8/3 - |1/6 - 3/4|
criss cross both sides to find their respectively simplified forms.
let's do (7/4 - 8/3) first.
(4 × 8) - (7 × 3) / 3 × 4
= 32 - 21 / 12
= 11 / 12.
then simplify |1/6 - 3/4| by criss crossing the pure numbers inside the absolute value.
Remember, no number can get out of the absolute value while being negative.
= |6 × 3 - 4 / 24|
= |18 - 4 / 24|
= |14/24|
= | 7 × 2 / 12 × 2 |...cancel the 2's
= |7 / 12| --> 7/12
11 / 12 - 7 / 12
= 4 /12
= 4 × 1 / 4 × 3....cancel the 4's
= 1 / 3.
we know that
If two lines are parallel, then their slopes are the same
m1=m2
and the y-intercept is unequal
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1 or m1=-1/m2
therefore
<u>the answer is</u>
Two non vertical lines have slopes m1 and m2, respectively. The lines are parallel if m1=m2 and the y-intercept are unequal; the lines are perpendicular if m1*m2=-1 or m1=-1/m2.
The interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
<h3>What is empirical rule?</h3>
According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
Here, we had where mean of distribution of X is \mu and standard deviation from mean of distribution of X is \sigma
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 50 hours. Thus,
Using the empirical rule, the interval of hours represents the lifespan of the middle 68% of light bulbs is,
Thus, the interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
Learn more about empirical rule here:
brainly.com/question/13676793
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