Step-by-step explanation:
the answer is the image above
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
In geometry, there is a theorem that states: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs
Therefore, this problem has two secants, so m∠x= 1/2(141-25)
m∠x=1/2(116)
m∠x=58
Hope this helped :)
Answer:
a.15.1 L/100 km; b $72.75; c. $51.34
Step-by-step explanation:
(a) Fuel consumption
Fuel used = 75 L
Distance travelled = 6096 km - 5600 km = 496 km
(b) Cost to fill tank
(c) Cost per week
i. Calculate the volume of gasoline
ii. Calculate its cost
The type of error that occurs if you fail to reject h0 when, in fact, it is not true is a type 2 error.
<h3>What is a type 2 error?</h3>
Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.
To learn more about type 2 error, please check: brainly.com/question/20914617
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