let's recall that in an isosceles triangle, the twin sides make twin angles at the bottom/base, so on the triangle on the left-side, if the "vertex" atop has an angle of 116°, then the twin sides below are simply 180° - 116 = 64, split that in half and that's 32° each.
The same is true for the isosceles triangle on the right side. Also recall that a flat-line is always 180°, 32 + 72 + 76 = 180.
Check the picture below.
Answer:
m∠B = 110°
Step-by-step explanation:
We know that,
The sum of the measures of the angles in a pentagon is 540°.
So, we get,
130 + (x-5) + (x+30) + 75 + (x-35) = 540
i.e. 3x + (130+30+75) - (5+35) = 540
i.e. 3x + 235 - 40 = 540
i.e. 3x + 195 = 540
i.e. 3x = 540 - 195
i.e. 3x = 345
i.e. x= 115°
Now, as m∠B = (x-5)° = (115-5)° = 110°
Hence, the measure of angle B is 110°.
Answer:
Sarah is making 4 batches of granola bars. She needs 7/8 cup peanuts to each batch and her measuring cup holds 1/8 cup.
Thus, if one cup holds then to make , Sarah will have to measure = 7 times for one batch of granola bars.
Therefore, for making 4 batches of granola bars, Sarah must measure 1/8 cup peanuts 7 x 4=28 times.Step-by-step explanation:
Answer:
$50,112. Increase is $2,112
Step-by-step explanation:
1st way. $48,000 x 1.044 = $50,112. 1.044 is the same thing as saying 104.4% of the total price in decimal form, which is what the new price would be when adding 4.4% to the 100% of the original price. To get the amount of increase just find the difference in the two. $50,112-$48,000 = $2,112
2nd way. $48,000 x .044. = $2,112 .044 is 4.4% in decimal form. So you found the increase here. Add the increase to the original price. $48,000 + $2,112 to get the new price of $50,112.
You plug in the values for x in each respective equation.
a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4
b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.
hope this helps! (:
