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Citrus2011 [14]
3 years ago
15

Write a real-world problem that can be represent 3x + 6 > 27

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
3 customers times the amount of cups plus 6 dollars in change is less than 24.
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In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a paral
lara [203]

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.  

                             \

                        155 \

P \ -------------------------\ Q

    \                         25 \

      \                               \     so that's your shape  

   S   \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and  therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.  

7 0
3 years ago
Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ
astraxan [27]

Answer:

The Point in the first quadrant is (\sqrt[2]{2.0268} ,6.559).

Step-by-step explanation:

Since

we know the general equation of the circle whose center is at (h,k) and radius is r that is

(x-h)^2+(y-k)^2 =r^2

we have given center is (0,3) and radius is r= 4

substituting in the general equation of the circle we get

x^2 +(y-3)^2 = 16

Now substituting the y= 2.5x + 3 in the above equation we get

x^2 +(2.5x + 3-3)^2 = 4^2

x^2 +6.25x^2  = 16

here subtracting 16 from both sides  and also perform addition

we get

7.25x^2 = 16

dividing both sides by 7.25 we get

x^2 =2.2068

taking square root both sides we get

x= \frac{+}{-}\sqrt[2]{2.0268}

but we need positive value of x because both x and y are positive in the first quadrant

that is

x= \sqrt[2]{2.0268}

substituting this into the given equation of the line we get

y =  2.5(\sqrt[2]{2.0268})+3

y =  6.559

so the point in the first quadrant is (\sqrt[2]{2.0268},6.559)

that is required    

6 0
4 years ago
Read 2 more answers
Which of the following statements is NOT equivalent to the statement, 'There exists either a
irina [24]
Computer Scientist lol I need 20 characters
8 0
3 years ago
Find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree
frez [133]

Answer:

\huge\boxed{Exterior\ angle = 70\°}

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

8 0
4 years ago
Please what is the answer to this
notka56 [123]
The anwser would be 3y-6=x
8 0
3 years ago
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