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:
[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°
Related Questions
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
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.
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:
K : (5,2)
L : (4,5)
3x - 7 = 29
What is x
Answers
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-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 = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: 3(12) - 7 = 29Multiply: 36 - 7 = 29Subtract: 29 = 29Here we see that 29 does indeed equal 29.
∴ x = 12 is a solution of the equation.
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:
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:
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 value of c?
Answers
-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal
Answers
Answer:
-2
Step-by-step explanation:
write 56.78 correct to one significant number
Answers
Answer:
60
Step-by-step explanation:
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.
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
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°.
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
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
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
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
Add all of your hours up and then multiply them by $11.52
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
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 mLin’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
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
(-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
(2x−2)−(2x−4) simplify the equation
Answers
Answer:
2
General Formulas and Concepts:
Order of Operations: BPEMDASPropertiesStep-by-step explanation:
Step 1: Define expression
(2x - 2) - (2x - 4)
Step 2: Simplify
Distribute -1: 2x - 2 - 2x + 4Combine like terms: 2
[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair
Answers
X=13-5y
I need help on the word problem with
Answers
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
Determine the values of X
Answers
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
Brainliest 5 stars Thanks! (running out of time and points sorry)
Answers
-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
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
Plz help very important question!!
Answers
Answer:
the domain is: 0,-3,4,2,-2.
Step-by-step explanation: