Answer:
Step-by-step explanation:
as the temp t increases the number of cricket chirps also increases.
Vertically opposite angles formed by two lines intersecting each other are equal.
<h3>What is a transversal?</h3>
A transversal is a line that intersects two or more two lines at two or more two distinct points.
We know when two straight lines intersect each other their vertically opposite angles are of equal measure.
Given, m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Therefore we can equate these two expressions.
m∠1 + m∠2 = m∠2 + m∠3.
Or,
m∠1 + m∠2 - m∠2 = m∠3.
∴ m∠1 = m∠3.
learn more about the transversal lines here :
brainly.com/question/17432060
#SPJ1
Answer:
Option C
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
m∠L = m∠N
Since, m∠L = 106°
Therefore, m∠N = 106°.
Option C will be the correct option.
Answer:
20 mangoes.
Step-by-step explanation:
Given:
Total number of mangoes, a trader bought = ![x](https://tex.z-dn.net/?f=x)
A trader bought at the rate of 4 mangoes for 10 naira.
Five of the mangoes were bad.
He sold the remaining at the rate of 5 mangoes for 20 naira.
He made a gain of 10 naira
Question asked:
Total number of mangoes, a trader bought =
= ?
Solution:
Unitary method
Cost price of 4 mangoes = 10 naira.
Cost price of 1 mango = ![\frac{10}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B4%7D)
Cost price of
mango = ![\frac{10}{4}\times x= \frac{5}{2} x](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B4%7D%5Ctimes%20x%3D%20%5Cfrac%7B5%7D%7B2%7D%20x)
As 5 of the mangoes were bad and he sold the remaining mangoes, then Total number of mangoes sold = ![x-5](https://tex.z-dn.net/?f=x-5)
Sale price of 5 mangoes = 20 naira
Sale price of 1 mango = ![\frac{20}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D)
Sale price
of mango = ![\frac{20}{5}\times(x-5)=4(x-5)=4x-20](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D%5Ctimes%28x-5%29%3D4%28x-5%29%3D4x-20)
Now, as we know,
![Gain = Sale price - cost price](https://tex.z-dn.net/?f=Gain%20%3D%20Sale%20price%20-%20cost%20price)
![10 = 4x-20 -\frac{5}{2} x\\ 10=4x-\frac{5}{2} x-20\\10=\frac{8x-5x}{2} -20](https://tex.z-dn.net/?f=10%20%3D%204x-20%20-%5Cfrac%7B5%7D%7B2%7D%20x%5C%5C%2010%3D4x-%5Cfrac%7B5%7D%7B2%7D%20x-20%5C%5C10%3D%5Cfrac%7B8x-5x%7D%7B2%7D%20-20)
![10 =\frac{3x}{2} -20](https://tex.z-dn.net/?f=10%20%3D%5Cfrac%7B3x%7D%7B2%7D%20-20)
Adding both sides by 20
![30=\frac{3x}{2}](https://tex.z-dn.net/?f=30%3D%5Cfrac%7B3x%7D%7B2%7D)
Multiplying both sides by 2
![60 = 3x](https://tex.z-dn.net/?f=60%20%3D%203x)
Dividing both sides by 3
![x=20](https://tex.z-dn.net/?f=x%3D20)
Therefore, total number of mangoes, a trader bought is 20.