What is the value of x in the figure? Enter your answer in the box.
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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

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!

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Answer:

.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

Answer:

I believe the answer is C. Driver.

Step-by-step explanation:

The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Answer:

HELP

Step-by-step explanation:

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

~ an aesthetics lover

y=-2x-8 this should be right i had this same problem before :)

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5)

25/45 + (-36/45)

(Multiplied each side by opposite denom.)

25/45 -36/45

Simplify

25-36=-11

-11/45

Cannot simpfily

Answer:

Step-by-step explanation:

5/9 + (-4/5)

-11/45 or − 0.244444444 and on and on forever

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)