This one is extremely simple, and we can use the color coded pie chart to find the cost of each of the 5 things.
For the first, decorations, Mary spent $?? as shown by the blue triangle on the pie chart. Let’s get the other ones first to total the money left over.
For the second, she spent $65 on food, as shown by the green triangle on the pie chart.
For the third, she spent $80 on party hall rental, as shown by the blue triangle on the pie chart.
For the fourth, she spent $30 on prizes, as shown by the dark blue triangle.
And for the fifth one, she spent $45 on invitations. A bit too expensive if you ask me.
Then we add all the costs together, and get 220. After adding the extra costs such as candy, costumes, and music, we get a total of $345. We would subtract this from $375 to get a total of $30 left over, which was spent on decorations. The ??? value of the light blue triangle is $30.
Hope this helps!
Notice that they give us the following info:
26 number of feet and 8 animal heads
20
Step-by-step explanation:
Let's say the coordinates of Q are (h, k).
The slope of PQ is perpendicular to the tangent line.
(k − 2) / (h − 2) = -⅓
3(k − 2) = -(h − 2)
3(k − 2) = 2 − h
Solving for h:
h = 2 − 3(k − 2)
h = 2 − 3k + 6
h = 8 − 3k
(2, 2) is a point on the circle, so:
(2 − h)² + (2 − k)² = r²
Substituting:
9 (k − 2)² + (2 − k)² = r²
10 (k − 2)² = r²
The equation of the circle is:
(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²
Without more information, there are an infinite number of possible solutions. For example, if k = 1, the equation of the circle is:
(x − 5)² + (y − 1)² = 10
Answer:
The triangles are similar
Step-by-step explanation:
We are given and two angles so by default we know the third angle. We know the three angles are the same, so the triangles are similar by AAA. We do not about conqruency without a side length.
Answer:
10.6 oz
Step-by-step explanation:
2.65/0.25=10.6
