Mathematics Middle School

Solve the following problem:

Given: △SAL, SA = LA

AT − ∠bisector

Prove: m∠L = m∠S

Solve The Following Problem: Given: SAL, SA = LA AT Bisector Prove: ML = MS

Answers

Answer 1

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Answer 2

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

Related Questions

can someone pls help me with this it's due today!!(you get Brainlist and 10 ponits!)​

Answers

Answer:

First table: y=x+5

Second table: y=x+3

Step-by-step explanation:

Subtract the x value from y to find the relationship between the two numbers.

Hope this helps!

Answer:

Y=X+5        Y=X+3

Step-by-step explanation:

2+5=7

3+5=8

4+5=9

5+5=10

6+5=11

0+3=3

1+3=4

2+3=5

3+3=6

4+3=7

Jackson is having a birthday party and has $60 to spend. it costs $40 to buy decorations and he wants to buy pizza for each of his friends. if each slice of pizza cost $1.75, how many friends can he invite to his party? Write and solve and inequality to represent the situation

Answers

I believe it would be 40+1.75x is less than or equal to 60. The answer would be 11 or about 11 but it can’t be 12 it’s over 20.

Answer:

11 FRIENDS

Step-by-step explanation:

Jackson has 60$, and he spends 40$ on decal, that leaves him 20 dollars. And if each slice of pizza costs 1.75, you would divide 20$ by 1.75$.

1.75/20 = 11.4...

Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?​

Answers

Answer:

$338.20

Step-by-step explanation:

Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,

89/10=8.9

$8.9 per hour

So 38 hours would be

8.9 x 38= $338.20

Answer:

$338.20

Step-by-step explanation:

Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500

Answers

B is the best estimate
The answer is B i presume.

What is the solution to the inequality |X-4 <3?
0 -7 O 1 X<-7 or x<-1
O x> 1 or x<7

Answers

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

(5 + 61) - (12 + 71)

Answers

Answer:

-17

Step-by-step explanation:

(5+61)-(12+71)

(66)-(83)

-17

Answer:

-17

Step-by-step explanation:

Look at the attachment

Find the surface area of the prism 3m 16m and 6m

Answers

Answer: The correct answer is 105.42 or 105

Step-by-step explanation:

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

What is the value of the expression when n = 3?
-2n(5+n - 8 -3n)

Answers

Answer:

54

Step-by-step explanation:

Answer:54

Step-by-step explanation:

-2(3)(5+3 - 8 -3(3)=54

Hope I helped:D

What is the following quotient? Square root 120/ square root 30
2
4
210
3/10

Answers

Answer:

2

Step-by-step explanation:

sqrt(120)/ sqrt(30)

We know that sqrt(a)/ sqrt(b) = sqrt(a/b)

sqrt(120/30)

sqrt(4)

2

Mark scored an 88 on his first test, an 84 on his second test, a 94 on his third rest, and an 86 on his fourth test. If Mark wants a test score average of 90, what must he score on his fifth test?

Answers

Answer:

He has to get a 98 on his last test

Step-by-step explanation:

What is the area of the shaded sector of the circle?
162n square units
27n square units
81n square units
9n square units

Answers

Answer:

area if sector= teeta. ×πr²

360

120°. ×22×9×9

360. 7

3×1782

7

5346

Answer:

B). 27 units^2

Step-by-step explanation:

2022

As shown in the diagram, the measure of angle HPM = 56 degrees. Lines
KL and HJ are perpendicular so the form right angles. (a) What is the
measure of angle MPJ?

Answers

Answer:

124

Step-by-step explanation:

<KPJ is 90 degrees and <MPH= 56 degrees.

<HPM + <MPK + <KPJ =180 (Supplementry angles)

56+ <MPK +90=180

<MPK = 34

So, <MPK + <KPJ= <MPJ

        34+90=124

Hope that helped.

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

How do we find the area of this shape?

Answers

What you have to do is find the area of the whole rectangle, then subtract of the empty parts:

50*48-0.5(50-41)(48)-6.5(pi(5/2)^2)-1.5pi(4^2)-pi(5^2)-pi=1899.293mm^2

Explanation:

The first subtraction is the area of the triangle.  The rest are the combined areas of the circles and semicircles (semicircles are just half the area of a circle)

Answer:

1899.293mm^2


What is the area of the figure?

PLS HELP ME THIS IS DUE TMR !

Answers

Answer:

53 in^2

Step-by-step explanation:

We can find the area of the large rectangle, without the piece missing

A = l*w

A = 7*8 = 56

Now find the area of the piece that is missing

A = l*w

A = 1*3 =3

Take the large rectangle and subtract the piece that is missing

56-3

53


There are 33 children in the class. 22 of the
children are girls. What fraction of the class are
girls?

Answers

Answer:

2/3 of the class are girls.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope this helps

Kim's furniture store is offering a 40% discount on all its armchairs. Using a proportion, find the discount of the price of an armchair that originally cost $489.00. A. $489.40 B. $190.71 C. $195.60 D. $293.40

Answers

Answer:

Your answer is C.

Step-by-step explanation:

[tex]\frac{40}{100} = .4[/tex]

To find the the discount, you need to multiply the original price by the percentage.

[tex]489 *.4 = 195.6[/tex]

The discount of the chair would be [tex]195.6[/tex]

Use the Means-Extremes Property to solve for x. 57 =9x x =

Answers

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0). Which statement is true regarding the functions on the graph? f(2) = g(2) f(0) = g(0) f(2) = g(0) f(0) = g(2)

Answers

Answer:

a

Step-by-step explanation:

because the lines crossover at to and in the parentheses so the x is it which makes a right.

The statement that is true regarding the functions on the graph is that  f(2) = g(2).

What is a graph functions?

Graphing functions is known to be the drawing of any curve that shows the function that can be seen on the coordinate plane.

Note that If a curve (graph) stands for a function, then all the point on the curve is one that satisfies the equation of the function.

Note that  the linear function Since the x - axis starts with 2 it is also true to say that the y axis will also have a positive value and as such, The statement that is true regarding the functions on the graph is that  f(2) = g(2).

Learn more about graph functions from

https://brainly.com/question/4025726

#SPJ9

f(1)=-3
f(n)=2*f(n-1)+1
f(2)....

Answers

Answer:

6

Step-by-step explanation:

when u substitude the value of n as 2

u get 2*2-1+1=6

hope this helps

there is a mistake in question that f(1)= -6

but i have answered correctly

pls mark me brainliest

Answer:

f(2)= - 5

Step-by-step explanation:

hello :

f(1)=-3

f(n)=2f(n-1)+1

n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1   but f(1) = -3

so : f(2)=2(-3)+1 =-6+1=-5

Math question down below

Answers

Answer:

10 and 1/4

Step-by-step explanation:

range is the largest # - smallest #

Answer:

D

Step-by-step explanation:

Range = Maximum value - minimum value

[tex]=12\frac{3}{4}-2\frac{1}{2}\\\\=\frac{51}{4}-\frac{5}{2}\\\\=\frac{51}{4}-\frac{5*2}{2*2}\\\\=\frac{51-10}{4}\\\\=\frac{41}{4}\\\\=10\frac{1}{4} in[/tex]

First convert mixed fraction to improper fraction. Find LCM and subtract

please help!!!! thank you

Answers

Answer:

9 c^7

Step-by-step explanation:

Answer:

27c^2-4

Step-by-step explanation:

27c to the 2nd power minus 4

1. A spherical mold is used to create chocolate candy. What is the volume of the mold?
Leave answer in terms of pie.

Answers

The equation for volume of a sphere is pi(r)^3 This mean that the equation would be pi(11)^3 which equals 1331pi

A circle with a radius of 1 unit and center C at (-2, 1) is reflected across the x-axis. What are the coordinates of C?
(2, 1)
(2,-1)
(-2,4)
(-2,-1)

Answers

Answer: b

Step-by-step explanation:

The answer is B.

Step by step

Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?

Answers

Let x represent number of rabbits and y represent number of chickens.

We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.

[tex]x+y=30...(1)[/tex]

[tex]y=30-x...(1)[/tex]

We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].

We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].

Since all animals has 76 legs in all, so we can represent this information in an equation as:

[tex]4x+2y=76...(2)[/tex]

Upon substituting equation (1) in equation(2), we will get:

[tex]4x+60-2x=76[/tex]

[tex]2x+60=76[/tex]

[tex]2x+60-60=76-60[/tex]

[tex]2x=16[/tex]

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

Therefore, Jessie have 8 rabbits on his farm.

Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].

Therefore, Jessie have 22 chickens on his farm.

can any one help
.
i attached a pnj to for the question

Answers

Answer:

oh wow

Step-by-step explanation:

LOLLLLLLLLLLLLLLLLLLLLLLLLLL

I think the answer is 2ft

Fond the equation of the line shown

Answers

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

Can someone please help me? Find the number of square units in base and height for the three triangles.

Answers

Answer:

A:

10

For the rest it got confusing sorry : /

Step-by-step explanation:

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