Answers
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144
Related Questions
What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answers
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
Read more at; https://brainly.com/question/11357763
he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
Answers
Answer:
P”Q=3PQ
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent?
Answers
Answer:
hope it helps you
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent? 2000
Download (megabytes)
000-
400
Time (min)
CLEAR
CHECK
Number of minutes for download completion
Downloading speed in megabytes per minute
Unit rate of minutes per megabyte
Unit rate of megabytes per movie
Answer:
Downloading speed in megabytes per minute
Step-by-step explanation:
did on ttm
how do you evaluate cube roots and square roots( in simple words pls)
Answers
Answer:
To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.
Step-by-step explanation:
this is the only thing i do not understand about geometry
Answers
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
------------------------------------------------------------------------
Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
Someone please help me
Answers
x=3.5 y=2
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
Answers
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answers
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answers
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
Write the following number in Scientific Notation.
Explain what you did to get your answer
560,000,000,000,000,000
Answers
Answer:
5.6 * 10^17.
Step-by-step explanation:
There are 17 digits after the 5 .
So it's 5.6 * 10^17.
Note that the first number must lie between 1 and 10.
I don't really understand which number we have to write in scientifc notation but I am assuming it is the number 560,000,000,000,000,000.
Ok so, 560,000,000,000,000,000 in scientific notation is 5.6 x 10^17.
This is because if you count the number of spaces behind the decimal point of 5.6 it is equal to 17. So, you would write the answer 5.6 x 10^17.
If you were asked to find the total number of tiles covering a circular floor, would you look to find the area or circumference?
Answers
Answer:
The area.
Step-by-step explanation:
The circumference would only cover an outline of the floor. Hope this helps!
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
Answers
ml
L.
Your welcome.
simplify the fraction 15/45
Answers
Answer:
1/3 or .3333333.....
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you can divide both the numerator and the denominator by 5
15/5=3
45/5=9
then divide by 3 to both sides
hope this helps :3
if it did pls mark brainliest
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answers
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!
Answers
Answer:
number 1 answer
a saying you have to add all the w's
b saying that you have to add 2w with 2w
c saying it is the simpliyed answer
number 2 answer
a. 2w + 20 + 2w
b. 4w + 20
number 3 we are unable to answer
Step-by-step explanation:
Which of the following equations represent linear functions?
y=4(2x)−3
x2+y=1
y=2x√
y=−2
Answers
Answer:
y = 4(2x) − 3 y = −2Step-by-step explanation:
Given functions:
y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2Linear functions have the form of
ax + by + c = 0 or y = mx + bTherefore functions 1. and 4. are linear functions, the other two aren't
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.
Answers
Answer:
D
Step-by-step explanation:
The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values
[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
x² = 39 ( take square root of both sides )
x = [tex]\sqrt{39}[/tex] → D
Answer:
D is the answer
Step-by-step explanation:
Please help!!! Will mark brainliest if you show your work and the answer!
Answers
Answer: Mario
Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
Answers
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
2+2+2-2x4x9x2+2+2+4+4x9+1938x3871
Answers
Answer:
7,501,904
I hope this helps!
Answer:
75020220.86 is the answer
Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?
Answers
Answer:
A
Step-by-step explanation:
5(2x-3-4z) Use the distributive property to rewrite the expression above
Answers
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (:
Step by Step Explanation:
5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.
What do these (>, ≥, <, ≤) mean
Answers
Answer:
Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to
Step-by-step explanation:
The line under plays the role of an equal sign and the others are pretty self explanatory
Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.
Step-by-step explanation: hope this helps
The slope of the line whose equation is 3 x - 2 y = 4 is:
A. 2/3
B. -2
C. 3/2
Answers
Answer:
c 3/2
Step-by-step explanation:
Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?
Answers
Write a single transformation that maps ABC onto A' B' C'
Answers
9514 1404 393
Answer:
Either of ...
(x, y) ⇒ (-x, -y)Rotation 180° about the originStep-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
Answers
What is 5 + 100 + 300,909,786
Answers
Answer:
300909891
Step-by-step explanation:
Answer:
300,909,891
Step-by-step explanation:
35 is what percent of 35
Answers
Answer:
100% 35/35 is 1 so 100%
Step-by-step explanation:
100% sure this is right gimme brainliest
write the equation x+y=6y into standard form
Answers
Answer:
x - 5y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x + y = 6y ( subtract 6y from both sides )
x - 5y = 0 ← in standard form
Answer: x-5y=0
Step-by-step explanation:
x+y=6y
6y-y
X=5y
X-5y=0