What is the greatest number of acute angles that a traingle can contain?

Answers

Answer 1

Answer:

Answer:

A triangle, by definition, has three sides and three angles. In a triangle, the sum of the angles is always 180 degrees. In order for an angle to be considered "acute," it must be less than 90 degrees.

So, to find the greatest number of acute angles that a triangle can contain, we need to maximize the number of angles that are less than 90 degrees. Since there are only three angles in a triangle, and the sum of the angles must be 180 degrees, the maximum number of acute angles a triangle can contain is three.

Therefore, a triangle can contain a maximum of three acute angles.

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Choose the equivalent system of linear equations that will produce the same solution as the one given below.6x + 2y = −6
3x − 4y = −18

12x + 4y = −12
15x = −30
8x + 4y = −4
14x = −10
6x − 8y = −36
−6y = −42
6x − y = −15
3y = 9

Answers

The given system of equation:
$6x+2y=-6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* 2 \n3x-4y=-18 \n \n12x+4y=-12 \n\underline{3x-4y=-18 \ \ } \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \nx=-2 \n \n3x-4y=-18 \n3 * (-2)-4y=-18 \n-6-4y=-18 \ \ \ \ \ \ \ \ \ \ \ \ |+6 \n-4y=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-4) \ny=3 \n \n(x,y)=(-2,3)$

Answer options:
1.
$12x+4y=-12 \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \n \n12x+4y=-12 \nx=-2 \n \n12 * (-2)+4y=-12 \n-24+4y=-12 \ \ \ \ \ \ \ \ \ \ |+24 \n4y=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \ny=3 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

2.
$8x+4y=-4 \n14x=-10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 14 \n \n8x+4y=-4 \nx=-(10)/(14)=-(5)/(7) \n \nx=-(5)/(7) \not= -2 \n\hbox{not the same solution}$

3.
$6x-8y=-36 \n-6y=-42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \n \n6x-8y=-36 \ny=7 \n \ny=7 \not= 3 \n\hbox{not the same solution}$

4.
$6x-y=-15 \n3y=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \n \n6x-y=-15 \ny=3 \n \n6x-3=-15 \ \ \ \ \ \ \ \ \ |+3 \n6x=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 6 \nx=-2 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

The equivalent systems of equations are 1 and 4:
12x+4y=-12
15x=-30
and
6x-y=-15
3y=9

Answer:12x+4y=-12

15x=-30

Step-by-step explanation:

just took the test and had to use the answer below to get it right but they got to answers :// thats dumb but theres the answer start forward

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Please help 7th grade math

Answers

Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

Simplify in picture below

Answers

Answer:

Step-by-step explanation:

Use PEMDAS

11 make sure you use pemdas

So, I really need help with functional notation...If anyone could help me solve these problems, I'd be extremely grateful!!Given the function G ( x ) =sqrt 2x-1 , find the value G (1), G(0), G(5), G(-4).
Given the function F ( x ) = x^2 - 3 x + 1, find the value F (-3), F(0), F(1).
Given the function H ( x ) = 3 x - 1, find the value H (2).

Answers

$g(x)=√(2x-1)$
$g(1)=√(2(1)-1)=√(2-1)=√(1)=1$
$g(0)=√(2(0)-1)=√(0-1)=√(-1)=i$
$g(5)=√(2(5)-1)=√(10-1)=√(9)=3$
$g(-4)=√(2(-4)-1)=√(-8-1)=√(-7)=i√(7)$

$f(x)=x^(2)-3x+1$
$f(-3)=-3^(2)-3(-3)+1=9-(-9)+1=19$
$f(0)=0^(2)-3(0)+1=1$
$f(1)=1^(2)-3(1)+1=-1$

$h(x)=3x-1$
$h(2)=3(2)-1=5$

Johnny has 64 marbles. mark has m marbles. if johnny has 16 times as many marbles as mark. how many marbles does mark has?

Answers

64 ÷ 16 = m
m=4
Mark has 4 marbles.

A 12-punce box of cereal cost $2.29, What is the unit price to the nearest tenth of a cent/

Answers

I'd say it could be $2.40. I hope this helps

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