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vampirchik [111]
3 years ago
14

Graph the points. Then decide if AABC is acute, right, or obtuse. 9. A(-2,4), B(2,0), C(5,2)

Mathematics
1 answer:
podryga [215]3 years ago
8 0

The triangle ABC is a right angled triangle.

Explanation:

Given that the coordinates of the triangle ABC

The coordinates are A(-2,4), B(2,0) and C(5,2)

We need to determine the angle for the triangle ABC

Let us plot the coordinates in the graph and join them.

From the graph, it is obvious that in the triangle ABC, at angle B the triangle forms an angle 90°

Hence, the angle formed by the triangle ABC is right angled triangle.

Therefore, ABC is a right angled triangle.

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The sum of Cathy's and Tony's ages is 65. Eight years ago, Cathy's age was 2/5 of Tony's age. How old are they now?
Viktor [21]
Let
x------> Cathy's<span> ages
</span>y------> Tony's ages

we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2

substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43

the answer is
Cathy's ages is 43 years 
Tony's ages is 22 years

7 0
3 years ago
Find the volume of this prism.
enyata [817]
Isnt it letter D ? Not sure tho
7 0
3 years ago
Read 2 more answers
Katy bought 5 packages of cake mix for $32.50. How much would 8 packages of cake mix cost?
AleksAgata [21]

Answer:

$52

Step-by-step explanation:

5 packages = $32.50

divide both sides by 5

1 package = $6.50

times by 8

8 package = $52

7 0
2 years ago
PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! &lt;33
Usimov [2.4K]

Answer:

16π or 50.24

Step-by-step explanation:

Area of a circle is πr^2

π*4^2

16π

5 0
3 years ago
Select the correct answer. what is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0
Kaylis [27]

Answer:

a. {(0, 7), (-1, 6)}

Step-by-step explanation:

y = x^{2} +2x+7\\y=x+7

subtract the equations

y = x^{2} +2x+7 \\-       \ \ \ \ \  y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1

for y = x^{2} +2x+7, substitute x = 0

y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7

for y = x^{2} +2x+7, substitute x = 0

y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6

6 0
2 years ago
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