Question: calculate the measure of angle JKL, i.e. mJKM+mMKL
Answer:
78°
Step-by-step explanation:
angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°. Thus
mJKM = 76/2 = 38°
angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°, Thus
mMKL = 80/2 = 40°.
Therefore angle JKL = 38°+40° = 78°.
Recall that a rhombus is a particular kind of parallelogram: the length you are looking for will be half of the parallelogram's height.
First, find the second diagonal of the rhombus:
d₂ = 2·A / d₁
= 2·480 / 48 *we transformed the units of measurement from dm to cm
= 20 cm
Now, consider the small triangle rectangle formed by the side of the rhombus and the halves diagonals. You can apply the Pythagorean theorem in order to find the side:
s = √[(d₁ /2)² + (d₂ / 2)²]
=√[(48 / 2)² + (20 / 2)²]
= 26 cm
Now, the side of the rhombus is the base of the parallelogram, therefore:
h = A / s
= 480 / 26
= 18.46 cm
The distance between <span>the point of intersection of the diagonals and the side of the rhombus will be:
</span><span>18.46 </span>÷ 2 = 9.23 cm
Step-by-step explanation:
so A = 64a +45
(
so B = 108 +a
2A-B=0--> 2(64a+45)-108-a=0--> a =18/127
Hello, Katrina7!
Vertical angles are when two lines intersect they form two pairs of opposite angles.
I really hope this helps;)
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim
