i need help with this!!!

Answer:

The statements that must be true are;

A. m∠1 = m∠5

B. m∠2 = m∠4

C. m∠3 + m∠4 + m∠5 = 180°

Step-by-step explanation:

The given parameters are;

The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle  = 180°

The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle

Therefore we have;

1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal

2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal

3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary

∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles

Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)

m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.

Answer:

3.06

Step-by-step explanation:

12.24/4

Answer:

4.08

Step-by-step explanation:

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

Answer:

15 cards per page

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The formula of the area of a triangle is 1/2 times base times height

1/2 .4.2 equals 4

Answer:

y = (-1/6)x - 1

Step-by-step explanation:

y = 6x - 2

find the reciprocal of 6 which is -1/6 then find the y-intercept (b)

y = (-1/6)x + b

-2 = (-1/6)(6) + b

-2 = -1 + b

+1   +1

-1 = b

Answer:

should be nigitive

Step-by-step explanation:

Y=mx+b

M- represents the slope and its constant

B- represents the y-intersect  

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:

21

Step-by-step explanation:

21/3 = 7

Answer: Domain is [1,3], Range is [304,391]

Step-by-step explanation:

Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]

Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]

Answer: rational

Step-by-step explanation:

0.33\overline{3} is a rational number because it is the result we get when we divide 1 by 3, or equivalently, because it is a solution to 1=3x.

Answer:

y=-1.9x-1

Step-by-step explanation:

Answer:

[tex]x = 4y[/tex]

Step-by-step explanation:

Given

[tex]y = kx[/tex]

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

[tex]\frac{x}{y} = 4[/tex]

Multiply through by y

[tex]y * \frac{x}{y} = 4 * y[/tex]

[tex]x = 4y[/tex]

Divide through by 4

[tex]\frac{x}{4} = \frac{4y}{4}[/tex]

[tex]\frac{x}{4} = y[/tex]

This can be rewritten as

[tex]y = \frac{x}{4}[/tex]

[tex]y = \frac{1}{4} x[/tex]

By comparison with [tex]y = kx[/tex]

we have:

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]k = \frac{1}{4}[/tex]

Hence: this answers the question.

Answer:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Answer: 11

Step-by-step explanation:just trust me

The numerical length of LM will be 11.

It is given that point M is on line segment overline LN . Also , MN = 3x , LN = 4x + 9 , and LM = 2x + 7.

We have to determine that what will be the numerical length of LM ?

What will be the value of x in equation ; 3x + 2 = 8 ?

The value of x will be 2.

From the question we can get that ,

MN  + LM = LN

2x + 7 + 3x = 4x + 9

5x + 7 = 4x + 9

x = 2

Now , we can use the value of x to find out length of LM ;

∵ LM = 2x + 7  

⇒ LM = 2 × 2 + 7

⇒ LM = 11.

Thus , the numerical length of LM will be 11.

To learn more about linear equations click here ;

brainly.com/question/21405634

#SPJ2

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

Answer:

The LCM for 4 and 8 is 8. Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 3/4 and 1/8.

Hope This Helps!!! Have a great day!

<3<3

Answer:

[tex]\frac{7}{8}[/tex]  or [tex]\mathrm{Decimal:\ }\:0.875[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}+\frac{1}{8}[/tex]

lcm of 4 and 8 is 8

adjust the fraction base on the lcm

[tex]=\frac{6}{8}+\frac{1}{8}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:[/tex][tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6+1=7[/tex]

[tex]=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So your answer would be 10.

I hope that helps

Answer:

Step-by-step explanation:Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So, your answer would be 10 I would have done it this way too not trying to copy(:

Answer: 21

Step-by-step explanation:

Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.

Since, 108 = 2 x 2 x 3 x 3 x 3

84 =  2 x 2 x 3 x 7

60 = 2 x 2 x 3 x 5

HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]

= 12

Greatest number of plants in each row = 12

Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]

Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]

Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]

Total rows = 9+7+5= 21

Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​ = 21

Answer:

For the time interval 0 to 2 the ball is in the air.

Select the options according to this.

Step-by-step explanation:

The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]

Let's find the x intercepts to answer this question.

To find x intercept where the h(t) is 0.

[tex]-16t^{2} -30t+124=0[/tex]

Solve the equation for t.

Use quadratic formula to solve the equation.

a=-16

b=-30

c=124

[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Plug in the values of a, b and c into the formula

[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]

Simplify it

[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]

[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]

[tex]x=\frac{30+/-94}{-32}[/tex]

Simplify it to get two values for x

[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]

x can not be negative, here x represents time t.

So, it starts from 0 and remains in the air for 2 seconds.

Answer:

Yo itś C

Step-by-step explanation:

:-)

Answer: x = 31

Step-by-step explanation: 13+18=31, so 31-18=13.

Answer:

x = 31

Step-by-step explanation:

-Get x alone

13 = x -  18

-add 18 to each side

x=31

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

Answer:

No solution

Step-by-step explanation:

Answer:

2/9, 2/3, 8/11, 5/6.

Answer:

its -6

hopefully this will help you

Answer:

C. Geometric, common ratio = 3

Step-by-step explanation:

Got it right

Answer:

C

Step-by-step explanation:

Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer

Answer:

884

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

solve for 6.4x104 and add to 2.1x104