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3 years ago

Find the missing measure in the triangle below.

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

To find x take 180 and subtract 63 and 77

mariarad [96]3 years ago

6 0

Answer:

40 degrees

Step-by-step explanation:

All measures in an angle add up to 180 degrees. So since here you have the measures 63 and 77, you would add both of those up and subtract that from 180, and the remainder would be your answer.

So,

63 + 77 = 140

180 - 140 = 40 degrees

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Calculate Income Elasticity of Demand Question Suppose that when the price of cream cheese rises by 10%, the quantity of bagels

inn [45]

Answer:

eY is positive +0.1 therefore bagels are a normal good.

Step-by-step explanation:

Given data:

when, 10% rise in cheese price, 3% fall in bagels quantity observed

when, 10% rise in income, 1% fall in bagels quantity observed

from formula for cross price elasticity of demand, determine $e_{AB}$

$e_{AB} = \frac{(−3\%}{(10\%)} = −0.3.$

As, eAB is negative, bagels $ cream cheese are complements.

By formula for income elasticity of demand,

we find that $eY= \frac{(+1\%)}{(10\%)} = +0.1.$

Since eYis positive, bagels are a normal good.

4 0

3 years ago

Jessica has two strings. the first string measures 80 cm and the second string measures 64cm. she wants to cut the strings into

omeli [17]

The highest common denominator between 80 and 64 is 16. This means no string can be cut longer than 16 inches for them all to have the same length.

5 0

3 years ago

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

Natasha2012 [34]

Answer:

$C = (\frac{21}{5},\frac{33}{5})$

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

$Ratio = 2:3$

The new coordinate can be calculated using

$C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})$

Where

$(x_1,y_1) = (1, 9)$

$(x_2, y_2) = (9, 3)$

$m:n = 2:3$

Substitute these values in the equation above

$C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})$

$C = (\frac{18 + 3}{5},\frac{6 + 27}{5})$

$C = (\frac{21}{5},\frac{33}{5})$

Hence;

The coordinates of the new center is $C = (\frac{21}{5},\frac{33}{5})$

7 0

3 years ago

Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.

iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0

3 years ago

Find the value of x if ∡A and ∡B are supplementary angles.

Elanso [62]

Answer:

$x = 30.5$

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

$C + D = 180$

Supplanting we get:

$(3x-44) + (5x-20) = 180$

We add up the X's.

$8x-44-20 = 180$

$8x-64 = 180$

Then we send 64 to the other side adding:

$8x = 180+64$

$8x = 244$

And then the 8 goes dividing:

$x = 244 : 8$

$x = 30.5$

3 0

3 years ago