Mathematics High School

In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in.
Find the distance from L to AB
AND find the measurement of

Answers

Answer 1

Answer:

[tex]\overline {LD}[/tex] = 0.6 inch

m∠ABC = 60°

Step-by-step explanation:

The given parameters are;

The given triangle ΔABC = A right triangle

The angle bisector of ∠CBA = BL

The length of BL = LB = 1.2 in.

The length of LC = 0.6 in.

We have;

[tex]\overline {LB}[/tex] ≅ [tex]\overline {LB}[/tex] reflexive property

∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle

∠CBL = ∠DBL by definition of congruency

∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary

∴ ∠CLB = ∠CLB by addition property of equality

ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency

∴ [tex]\overline {LD}[/tex] ≅ [tex]\overline {LC}[/tex] Congruent Parts of Congruent Triangles are Congruent (CPCTC)

[tex]\overline {LD}[/tex] = [tex]\overline {LC}[/tex] = 0.6 in. by definition of congruency

[tex]\overline {LD}[/tex] = 0.6 in.

sin(m∠CBL) = Opposite side/(Hypotenuse side) = [tex]\overline {LC}[/tex]/[tex]\overline {LB}[/tex] = 0.6/1.6 = 1/2

m∠CBL = sin⁻¹(1/2) = 30°

m∠CBL = m∠DBL = 30°

m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°

m∠ABC = 60°

In The Right ABC, BL Is An Angle Bisector. If LB = 1.2 In And LC = 0.6 In. Find The Distance From L To

Related Questions

Select the graph that represents the solution for the following system of inequalities.

Answers

Answer:

I think that answer is C

Step-by-step explanation:

I am not 100% sure but it is worth a try

Answer:

YESS DADDYY!!!

Step-by-step explanation:

-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal

Answers

Answer:

-2

Step-by-step explanation:

(2x−2)−(2x−4) simplify the equation

Answers

Answer:

2

General Formulas and Concepts:

Order of Operations: BPEMDASProperties

Step-by-step explanation:

Step 1: Define expression

(2x - 2) - (2x - 4)

Step 2: Simplify

Distribute -1:                    2x - 2 - 2x + 4Combine like terms:       2

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3

Answers

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

120% is 24 whats the answer and how?

Answers

Answer:

Step-by-step explanation:

So the answer is 20.

24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20

Hope this helps ∞<3

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

PLEASE HELP ME ASAP RIGHT ANSWERS ONLY

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week

Answers

ANSWER $319.68
Add all of your hours up and then multiply them by $11.52

I need help on the word problem with

Answers

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Brainliest 5 stars Thanks! (running out of time and points sorry)

Answers

The answer is c f(-8)=0

At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She
needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color
tablets.
How many tablespoons of vinegar will Ellen need?
HELP THIS IS AN EMERGENCY

Answers

Answer:

40 tablespoons of vinegar

Step-by-step explanation:

the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be

2-5

16-x

16-5^8

16-40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

5 tablespoons = 2 color tablets.

40 tablespoons = 16 color tablets

The number of tablespoons of vinegar required is 40.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

She needs 5 tablespoons of vinegar for every 2 color tablets she uses.

This means,

5 tablespoons = 2 color tablets.

Multiply 8 on both sides.

8 x 5 tablespoons = 8 x 2 color tablets.

40 tablespoons = 16 color tablets

Thus,

The number of tablespoons of vinegar required is 40.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

An odd number of factors were negative.
None of the factors were negative.
An even number of factors were negative.
All of the factors were negative.

Answers

Answer:

natatae ako shuta hehhe

de joke lang

Answer: C: An odd number of factors were negative.

Step-by-step explanation:

a positive number being the answer an odd number number of factors would be needed for it to be

what is the measure of ABC?

Answers

Answer:

ABC = 55°

Step-by-step explanation:

Angle A plus Angle C equals Angles B.

Add them together then subtract from 180°.

HELP ASP!!❤️
WILL GIVE BRAINLIEST!...

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify:                        [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add:               [tex]m=\frac{-12}{9}[/tex]Simplify:                        [tex]m=\frac{-4}{3}[/tex]

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

What is the value of p? Please provide an explanation, thanks!

Answers

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

3x - 7 = 29
What is x

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Add 7 on both sides:                    3x = 36Divide 3 on both sides:                x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    3(12) - 7 = 29Multiply:                        36 - 7 = 29Subtract:                       29 = 29

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?

Answers

Answer:

6.75 miles

Step-by-step explanation:

First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.

Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

____ m

Answers

Answer:

the circumference of her wheel is 1.81 m

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

Diameter is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

-6t-7=17 what does t equal

Answers

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4


[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair​

Answers

Subtract 5y from both sides of the equation
X=13-5y

write 56.78 correct to one significant number

Answers

Answer:

60

Step-by-step explanation:

on a number line, 1.38 would be located. choose all answers that make a true statement
A. to the right of 1.29
B. to the left of 1.36
C. between 1 and 2
D.between 0 and 1

Answers

Awnser: C, A.

Reasoning: On a number line, the bigger number is to the right tthe lower number. for A. For C, it is between 1 and 2 because the number is 1.38.

T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:


Plz help very important question!!

Answers

Answer:

the domain is: 0,-3,4,2,-2.

Step-by-step explanation:

The domain x- remember (x,y) x is the domain so it would be 0,-3,4,2,-2

7.83 x 10-11
Write in standard from

Answers

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

please help, i’m trying to understand this

Answers

Answer:

x = 25 and <A = 148 degrees

Step-by-step explanation:

Basically it's asking you to find the value of x for both of those equations, x must be the same for both

6x - 2 = 4x + 48

(-4, 12) and (-7, -3)

(Write an equation of the line in point slope form that passes through the giving points)

Answers

Answer:

5

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5

write the coordinates obtained after the given translation​

Answers

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

J : (3,2)
K : (5,2)
L : (4,5)
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