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KatRina [158]
3 years ago
7

Find the number of distinct triangles with the measurements a = 5, b =2, and a = 51 degrees.

Mathematics
1 answer:
elixir [45]3 years ago
4 0
The answer is the option b. 1.

Two sides and one angle determine one unique triangle.

If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.

When that is the case you use the cosine rule.

When the known angle is not between the two sides but one of the others, you use sine theorem.

Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
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when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coor
vovangra [49]

Answer:

y = -2.5 x + 6.5

Step-by-step explanation:

The equation of a line in slope-intercept form is written as

y = mx + b where m is the slope and b is the y-intercept.

a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:

m = (5 - 3 )  = 2

     -4 - (-1)    -3

Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):

y = mx + b

3 = -2 • -1 + b

3

3= 2 + b

3

7  = b

3

The equation of the line will be y = -2 x +  7

3 3

b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:

y = -2.5x + b

1.5 = -2.5 • 2 + b

1.5 = -5 + b

6.5 = b

The equation of the line will be:

y = -2.5 x + 6.5

4 0
3 years ago
Rasheed is buying wings and quesadillas for a party. A package of wings costs $8. A package of quesadillas costs $10. He must sp
galina1969 [7]

Answer:

10 is maximum of packages of quesadillas.

Step-by-step explanation:

x= number of wings

y= number of quesadillas

x+y=20

8x+10y=$160

if x=7

then 7+y=20

20-7=14=y

14*10=140

8*7=56

Rasheed can't buy 20 packages, since it'll go over his budget.

So 160-56=104

And 104/10= 10 minimum

10*10=100

100+56=160

So he can buy 10 packages of quesadillas.

7 0
3 years ago
Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation t
kolbaska11 [484]

Answer:

t(5)=600.................

6 0
3 years ago
7 pounds of rice is 4$ how much is one pound of rice?​
blagie [28]

Answer:

$0.57

Step-by-step explanation:

7 pound = 4 $

1 pound =4/7 $

=0.57$

4 0
1 year ago
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Answer:

42.40

Step-by-step explanation:

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