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masya89 [10]
3 years ago
11

Triangle ABC A(-3,1) B(1,3) C(2,-4) . Move point C so that the triangle becomes right angle. Is there a methods apart from guess

and check?
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
Draw a cartesian graph and draw the points in , then see where c should be to get a right angled triangle
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Need help, please kfvleknfv
omeli [17]

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

4 0
3 years ago
8) Find x if m m<br> i’m
Kaylis [27]

Answer:

7

Step-by-step explanation:

Remark

The two angles with x in their numerical value are added to get 108

Solution

10x + 2 + 4x + 8 = 108                Collect like terms

14x + 10 = 108                             Subtract l0 from both sides.

14x + 10 -10 = 108 - 10                Collect like terms

14x = 98                                      Divide by 14

x = 98/14

x = 7

3 0
2 years ago
Help plzzz...also give steps
geniusboy [140]

Answer:

392π

Step-by-step explanation:

Equation is 1/3(piR^2)*h

Radius is 7, 7 squared is 49.

1/3(49π)(24)

392π

3 0
3 years ago
Read 2 more answers
-1 1/3 divided by 2 2/5
Crazy boy [7]

Answer:

-5/12

Step-by-step explanation:

-1 times 1 is -1 so -1/3

2 times 2 is 4 so 4/5

-1/3 divided by 4/5

to make it easier we will write like this:

-1/3 times 5/4

-1 times 5=-5

3 times 4=12

so the final answer is  -5/12

HOPE IT HELP U

8 0
3 years ago
Write the ordered pair that represents yz. Then find the magnitude of yz.<br> Y(-2, 5), z(1,3)
Marysya12 [62]

Answer:

Okay, gimme a sec...

Step-by-step explanation:

8 0
3 years ago
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