A median of a triangle always bisects the angle of the triangle that it intersects. true or false

Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

Step-by-step explanation:

Answer:

x=4 and y=1

The price of each admission is 7

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount paid for admission =  $245

Total number of people=35

So,

let the price of admission be x

So, 35x= 245

Now dividing both side by 35

35x/35=245/35

x= 7

Hence, price of each admission is 7.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ4

Step-by-step explanation:

the sum of interior angles in a triangle is 180°

so

2x+2+12x-8+6x+6=180

20x=180

x=180/20=9

so

m<A =6x+6=6*9+6=54+6=60

m<M=12x-8=12*9-8=100

m<N=2x+2=2*9+2=18+2=20

MAN is an obtuse triangle

because of 100° angle

question 4

isosceles

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

Answer:

Fourth chice, 3/5

Step-by-step explanation:

Add all the numbers together, 12 + 3 + 5 = 20

There's 12 green cubes out of the 20 cubes so it's 12/20 which is 3/5

Answer:

$1,377

Step-by-step explanation:

the way that I did it-

100-25=75

1700x0.75=1275

8%=0.08, just add a 1 to the sales tax whenever you are calculating that.

1275x1.08=1377

therefore it is $1,377

brainliest would be appreciated :)

Answer:

11, 12, and 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

11, 12, and 13

Answer:

Step-by-step segment dc bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. if segment dc bisects segment ab, then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent. if segment ad bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from:

Answer:

152 sq. ft

Step-by-step explanation:

Area of rectangle:

Area of triangle:

Combine the areas:

I hope this helps!

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In question 1:

[tex]\to \frac{x^2+5x+6}{x+2}\\\\\to \frac{x^2+(3+2)x+6}{x+2}\\\\\to \frac{x^2+3x+2x+6}{x+2}\\\\\to \frac{x(x+3)+2(x+3)}{x+2}\\\\\to \frac{(x+3) (x+2)}{x+2}\\\\\to (x+3)[/tex]

In question 2:

[tex]\to \frac{2x+8}{x^2+5x+6}\\\\[/tex]

[tex]\to x^2+5x+6=0\\\\\to (x+3)(x+2)=0\\\\\to x+3 =0 \ \ \ \ \ \ x+2 =0\\\\\to x = -3 \ \ \ \ \ \ x=-2 \\\\[/tex]

In question 3:

[tex]\to f(x) = \frac{x-3}{x+5}\\\\\to f(x) \neq 0\\\\when\\\to x+5=0\\\\\to x=-4 \ excluded \ value \\\\\to x \neq 5[/tex]

In question 4:

[tex]\to f(x) = \frac{x^2+6x+8}{(x+4)}\\\\\to f(x) = \frac{x^2+(4+2)x+8}{(x+4)}[/tex]

[tex]\to f(x) = \frac{x^2+4x+2x+8}{(x+4)}\\\\\to f(x) = \frac{x(x+4)+2(x+4)}{(x+4)}\\\\\to f(x) = \frac{(x+4)(x+2)}{(x+4)}\\\\\to f(x) = x= -4 and -2[/tex]

In question 5:

[tex]\to f(x) =\frac{3x}{x^2-9} \\\\ \to f(x) =\frac{3x}{x^2-3^2} \\\\ \to f(x) =\frac{3x}{(x+3)(x-3)}[/tex]

In question 6:

total number of fish = x

yellow fish [tex]= \frac{40}{100}=0.4X[/tex]

green fish [tex]= \frac{60}{100}) =0.6X[/tex]

It is now the case that the yellow fish number is 6 less than the green fish number.  

[tex]\therefore \\\\\to 0.6x-0.4x = 6 \\\\\to 0.2x = 6\\\\\to x= \frac{6}{0.2} \\\\\to x=30[/tex]

green fish [tex]= 0.6 \times 30=18[/tex]

Answer:

Horizontal, 0, y

Step-by-step explanation:

Answer:

Step-by-step explanation:

A of base: l ×w =5×4=20cmsquared

Missing length of c=a+b=c

C=6+2

C=8cm

A of side 1= b×h÷2 ×2

= 5×8÷2×2

= 40 ÷2×2

=20 ×2

= 40 cm squared

A of side 2= b×h÷2×2

= 4×8÷2×2

= 32 ÷ 2 ×2

= 16 ×2

= 32cm squared

Total of pyramid is = area of base + A

off side 1 + A if side 2

=92 cm cubed

Answer:

The answer would be 2/3

Step-by-step explanation:

There are 36 total problems and 24 division problems.

So take 24 over 36 and simplify and you get 2/3

Answer:

$4162.4

Step-by-step explanation:

As per the question statement,

The computer monitors are in cuboid structure.

Width of computer monitors = 22 inches

Length of computer monitors = 22 inches

Thickness of computer monitors = 2 inches

Average cost of production per cubic inch = $0.43

To find:

Cost to the company to make 10 monitors.

Solution:

Volume of a cuboid is given as following:

[tex]Volume = Length \times Width \times Height[/tex]

Volume of one computer monitor as per the given dimensions = [tex]22\times 22 \times 2[/tex] = 968 cubic inches

Volume of 10 such monitors = 968 [tex]\times[/tex] 10 = 9680 cubic inches

Cost of manufacturing of 1 cubic inch = $0.43

Cost of manufacturing of 9680 cubic inch = $0.43 [tex]\times[/tex] 9680 = $4162.4

Answer:

i think 160 or somewhere close to that

Step-by-step explanation:

Answer:

the answer is 120ft

Step-by-step explanation:

all you need to do is length times width so 15×8 and you'd get 120 don't forget the ft hope this helps you.

where are the answer choices

Answer:

x=20

Step-by-step explanation:

By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:

2x-10+70+4x=180

Combine Like terms

6x+60=180

Subtract 60 from both sides

6x=120

Divide by 6 to isolate the variable

x=20

Answer:x= 20

Step-by-step explanation:

As the equation of three angles of a triangle is 180°,

Then, 2x-10+70+4x=180

6x=120

So,x= 20

Answer:

> or ≥

Step-by-step explanation:

Distance ran last week = 26.1 miles

Since he wants to further on the total miles covered last week, then what is required is that total miles covered this week is greater than the total distance covered last week.

2.4 miles to the park ; 4 times around the park and 2.4 miles back from the park :

His coverage this week is should be represented by the Inequality :

2.4 + 4p + 2.4 > 26.1 ; which denotes that total coverage this week (2.4 + 4p + 2.4) is greater or more than last week's coverage of 26.1 miles

Answer:

He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.

Step-by-step explanation:

that's the sample response on edge

Answer:

the answer its C i hope i Helped you

Step-by-step explanation:

Answer:

C. infinitely many solutions

Step-by-step explanation:

Answer:

slope: 20/3 parallel

Step-by-step explanation:

y1-y2/x1-x2 gives you slope(30--10/12-6). Plot the points, create line segments, you'll find that they are parallel.

Answer:

1. 6[tex]\frac{2}{3}[/tex]

2. Parallel

Step-by-step explanation:

To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{30-(-10)}{12-6}[/tex]

     = [tex]\frac{40}{6}[/tex]

     = 6[tex]\frac{2}{3}[/tex]

If a graph has more than a point on the y-axis even though the x-axis remains the same, it means that it is a vertical line. Since Graph 1 has (-1) on the x-axis but there are two points on the y-axis, 4 & (-9), it is a vertical graph. Since Graph 2 has (11) on the x-axis but there are two points on the y-axis, (-2) & 6, it is also a vertical graph. Thus, both graphs are parallel.

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

≤

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.

Answer: -77[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Answer:

m∠DBC is 43°

Step-by-step explanation:

Let us solve the question

∵ D is in the interior of ∠ABC

→ That means D divides ∠ABC into two angles ABD and DBC

∴ m∠ABD + m∠DBC = m∠ABC

∵ m∠ABD = (3x + 5)°

∵ m∠DBC = (5x - 7)°

∵ m∠ABC = 78°

→ Substitute them in the equation above

∴ 3x + 5 + 5x - 7 = 78

→ Add the like terms in the left side

∵ (3x + 5x) + (5 + -7) = 78

∴ 8x + -2 = 78

∴ 8x - 2 = 78

→ Add 2 to both sides

∴ 8x -2 + 2 = 78 + 2

∴ 8x = 80

→ Divide both sides by 8

∴ x = 10

→ To find m∠DBC, substitute x by 10 in its measure

∵ m∠DBC = 5(10) - 7

∴ m∠DBC = 50 - 7

∴ m∠DBC = 43°

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test and got 100%.

Answer: 11/3

Step-by-step explanation:

(4 1/3) - (2/3) = (13/3) - (2/3) = 11/3

Answer: 5

Step-by-step explanation:

[tex]\displaystyle\\4\frac{1}{3} -(-\frac{2}{3})=\\\\ \frac{(4)(3)+1}{3} +\frac{2}{3}=\\\\ \frac{12+1+2}{3}=\\\\ \frac{15}{3}= \\\\5[/tex]