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4 years ago

I need help on these problems please

Mathematics

1 answer:

Art [367]4 years ago

6 0

The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.

5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3

Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.
$x + 80 = 105 \\ x = 105 - 80 \\ x = 25$
9.
$x + 72 = 135 \\ x = 135 - 72 \\ x = 63$

You might be interested in

Why is 1/6 greater than 1/8 but less than 1/3?

raketka [301]

Because the greater the denominator, the smaller the number is.
1/6 = .166666667
1/8 = .125
and 1/3 = .333333333333333333

8 0

3 years ago

Or Simplify. Express your answer as a single term using exponents. 303*9x303*9

dmitriy555 [2]

${303}^{9} \times {303}^{9} \\ = {303}^{9 + 9} \\ = {303}^{18}$

Answer:

${303}^{18}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0

3 years ago

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the deman

HACTEHA [7]

Answer:

dx/dt = 12 (in thousands of units /week)

Step-by-step explanation:

We have from problem statement that:

8*p³ + x² = 104 (1)

Where p is price in $, and "x" is the weekly sales in thousands of units

All variables x and p change in relation to time then

Differentiating on both sides of the equation, we get:

24*p²*dp/dt + 2*x*dx/dt = 0 (1)

We need to find dx/dt and we know

p = 20

x = 200

And price is falling at the rate of 0,5 $/week

Then plugging these values in equation (1)

24*p²*dp/dt = - 2*x*dx/dt

24*(20)²(-0,5) = -400*dx/dt

-4800 = -400*dx/dt

dx/dt = 4800/400

dx/dt = 12 (in thousands of units /week)

5 0

4 years ago

A merchant travels with 269 pounds of silver goods, 167 pounds of fruit, and 51 pounds of herbs, but only has 11 camels to carry

AURORKA [14]

Answer: The number of pounds each camel have to carry=44 pounds

The pounds of goods left=3 pounds

Step-by-step explanation:

The total pounds of goods the merchant have= $269+167+51$

=487 pounds

The total number of camels the merchant have = 11

If each camel carry same weight of goods, then we divide total weight by 11, we get

487÷11=44.27

The number of pounds each camel have to carry=44 pounds

The pounds of goods left=487-44×11=487-484=3 pounds

7 0

4 years ago

The amounts of a sum of money in 2 years and 5 years are rs 2800 and e 3250respectvely .find the sum

sammy [17]

Answer:

money : x

in 2 years : x+2

in 5years: x+2= 2800 + 3250

sum= x+2= 6050

x=6050÷2

x=3025

6 0

3 years ago