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umka21 [38]
3 years ago
6

Find the measure of angle 1.

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

∠ 1 = 104°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 36° + 68° = 104°

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The coordinates of point M have the same sign. Which answer choice includes all the quadrants that could contain the point?
Sergeeva-Olga [200]

Answer:

Quadrants I and III

Step-by-step explanation:

Its just the opposite sides but negatives and postitives

3 0
2 years ago
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The first term of a sequence is 3. The common difference of the sequence is 10 less than twice the first term. Write the equatio
polet [3.4K]

d = 2*3 -10 = -4

The n-th term of the sequence is

.. t[n] = 3 +d(n -1) = 7 -4n

3 0
3 years ago
Algebra problem help
True [87]
To solve this problem you must apply the proccedure below:

 1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.

 2. You must make a system of equation, as below:

 x+y=15  (i)
 0.20x+0.05y=0.15x15   (ii)

 3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):

 x+y=15  (i)
 x=15-y

 0.20x+0.05y=0.15x15   (ii)
 0.20(15-y)+0.05y=2.25
 y=5 liters

 x+y=15  (i)
 x=15-5
 x=10 liters

 4. Therefore, the asnwer is:

 10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.

 
4 0
3 years ago
You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, w
swat32

Answer:

g(x) = -0.1x^2 + 0.5x + 3.6

Step-by-step explanation:

Given

h(x) = -0.1x^2 + 0.7x  + 3

Required

Determine the new function

From the question, we understand that the new function wants the water to hit the ground 1 ft farther.

1 ft farther implies x + 1

So, in the given function, we substitute x + 1 for x in h(x) = -0.1x^2 + 0.7x  + 3

This gives:

h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1)  + 3

Expand Bracket

h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1)  + 3

h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1)  + 3

h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7  + 3

Collect Like Terms

h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7  + 3-0.1

h(x + 1) = -0.1x^2 + 0.5x + 3.6

Hence, the new function is:

g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6

g(x) = -0.1x^2 + 0.5x + 3.6

3 0
3 years ago
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