Question 1 options:
m∠A = _____˚
m∠B = _____˚
m∠C = _____˚
m∠X = _____˚
m∠Y = _____˚
m∠Z = _____˚
Segment AB = _____ units
Segment BC = _____ units
Segment AC = _____ units
Segment XY = _____ units
Segment YZ = _____ units
Segment XZ = _____ units
Answers
Given:
Two triangles are congruent, i.e., [tex]\Delta ABC\cong \Delta XYZ[/tex].
To find:
All the measures of both triangle.
Solution:
We have,
[tex]\Delta ABC\cong \Delta XYZ[/tex].
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
[tex]\angle A=\angle X[/tex]
[tex]\angle B=\angle Y=90^\circ[/tex]
[tex]\angle C=\angle Z=37^\circ[/tex]
It triangle ABC,
[tex]\angle A+\angle B+\angle C=180^\circ[/tex] (Angle sum property)
[tex]\angle A+90^\circ+37^\circ=180^\circ[/tex]
[tex]\angle A+127^\circ=180^\circ[/tex]
[tex]\angle A=180^\circ -127^\circ[/tex]
[tex]\angle A=53^\circ[/tex]
So,
[tex]\angle A=\angle C=53^\circ[/tex]
[tex]AB=XY=3\text{ units}[/tex]
[tex]BC=YZ=4\text{ units}[/tex]
[tex]AC=XZ=5\text{ units}[/tex]
Therefore, m∠A = 53˚, m∠B =90˚ , m∠C =37˚ , m∠X = 53˚, m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .
Related Questions
You have decided to start your own business selling friendship bracelets. It will
cost $36 to get all of the supplies and you will sell each bracelet for $3. Write an
equation that represents your profit.
Answers
Answer: 12 people
Step-by-step explanation:
$36 as a start for suplies it will cost you so 3/36 is 12 so it will take 12 people to get our profit back
What is the value of x?
Answers
180°-45°=135°
135=2x-5
135+5=2x
140/2=x
x=70
One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?
Answers
Answer: 50 houses
Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.
New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 14 buses with 509 students. High School B rented and filled 12 vans and 10 buses with 472 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answers
Answer:
Step-by-step explanation:
Let's say :
v = number students in van, b = number of students in bus
From the info provided in the question:
High school A takes 3 vans and 14 buses for 509 students
We can write this as:
3v + 14b = 509
You can re-write this as :
3v = 509 - 14b
We also know High School B takes 12 vans and 10 buses for 472 students:
12v + 10b = 472
Since we already know that 3v = 509 - 14b , substitute this equation into the above formula and you get:
12v + 10b = 472
4(509 - 14b) + 10b = 472
2036 - 56b + 10b = 472
2036 - 46b = 472
2036 - 472 = 46b
1564 = 46b
Divide both sides by 46 to find "b".
b = 1564/ 46 = 34
Therefore the number of students that fit in each bus is 34.
So since we know b = 34, substitute b into the equation at the top:
3v = 509 - 14b
3v = 509 - 14(34)
3v = 509 - 476 = 33
Divide both sides by 3 to find "v".
v = 33/3 = 11.
Therefore the number of students in each van is 11.
Please help me fast please , i really dont understand .
Answers
Answer:
y= 1/3x - 5/2 or D
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x - 6y = 15
-6y = -2x + 15
6y = 2x - 15
y = 2/6x - 15/6
y = 1/3x - 5/2
answer is C
A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?
Answers
Answer: 5
Step-by-step explanation:10/2 = 5
Answer:
the answer is: 5
Step-by-step explanation:
did the quiz
A phone call cost 7 for 2 minutes ___ per minute
Answers
Answer:
3.5
Step-by-step explanation:
7÷2 hope this helps
x/7+x-2/14=1/7
Please answer x as a fraction!
Answers
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] + x - [tex]\frac{2}{14}[/tex] = [tex]\frac{1}{7}[/tex]
Multiply through by 14 to clear the fractions
2x + 14x - 2 = 2 ( add 2 to both sides )
16x = 4 ( divide both sides by 16 )
x = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
books cost $10 each and book covers cost four dollars each. I spent a total of $40 on books and book covers. which of the following combinations of books and book covers could I possibly have purchased for $40
Answers
Without options
Hcf of 10 and 4 then u willl get
BRAINLIEST ANSWER (please do it right)
Producing a musical cost $88,000 plus $5,900 per performance. One sold-out performance earns $7,500 in revenue. If every performance sells out, how many performances are needed to break even? ( solving and writing Mulit-step equation question)
Answers
Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
What is reciprocal of the number 5
Answers
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
Answer:
1/5.
Step-by-step explanation:
When referring to a reciprocal, it basically means taking the numerator and the denominator and flipping them.
For example, take 4/5. The reciprocal of 4/5 would be 5/4.
Now, take 5. As a fraction, it would look like 5/1. If you were to flip it, it would be 1/5.
Therefore, the reciprocal of 5 is 1/5.
need helppppp!!!! I'll brainlist quickkkk
Answers
Answer:
7a is 24
bis 18
c is -15
Step-by-step explanation:
7a. 2(3)+3(6)
6+18=
24
7b. 6(6)-(3)(6)
36-18=
18
7c. 3(3)-4(6)
9-24=
-15
When you rotate figures, what do you notice about sides, angles, and parallel lines?
Answers
Answer:
They are the exact same.
Step-by-step explanation:
Which is a greater y-intercept (0,-1) or (0,-2)
Answers
Answer:
(0,-1)
Step-by-step explanation:
-1 is less than -2 so -1 have a greater value since it is closer to the origin (0,0)
Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?
A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8
Answers
Answer:
[tex]V=2x^2+8x+8[/tex]
Step-by-step explanation:
The volume of a right rectangular prism is given by :
[tex]V=lbh[/tex]
Where,
l is length, bis breadth and h is height
ATQ,
Height of the cage is 2feet
The length and width are both x feet more than the height.
l = b = (x+2)
So,
[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]
So, the correct option is (D).
Answer:
Your Ans is
Option D.....
What are the coefficients in the following expression? -6y + 4- 7-8
please help!! this is for an assessment
Answers
Answer:
11/6 I think
Step-by-step explanation:
Welp that's all that came when I get the answer
like terms and unlike terms
Answers
Answer:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all
Answer:
unlike terms
Step-by-step explanation:
are more than two hope this helps I just answer quickly
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help
Answers
Answer:
[tex]121=6w[/tex]
Step-by-step explanation:
Formula for perimeter of a rectangle:
[tex]P=2l+2w[/tex]
[tex]w[/tex] = width
[tex]l[/tex] = length
Since the length is twice the width,
[tex]l=2w[/tex].
So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,
[tex]121 = 2(2w)+2w[/tex]
And after some simplification, we are left with,
[tex]121 = 6w[/tex]
What type of equipment did police use in 1918
Answers
Answer:
Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.
Step-by-step explanation:
hope it helped!
p.s it would be cool it you would give me brainliest
Need help plz and thnks
Answers
Answer: y=13
hope this helps!
1. Mrs. Sanders farm is 413 acres. She divided the farm into 52 equal parts. How many acres are in each part? 2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answers
Answer:
each part will have about 7.9 acres and the prime number is 53
Step-by-step explanation:
Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =
Answers
Answer:
f(x) = 7x² + 3Step-by-step explanation:
vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex (0, 3) ⇒ p = 0, q = 3
so:
f(x) = a(x - 0)² + 3
f(x) = ax² + 3
the parabola goes through point (1, -4) ⇒ x=1, f(x)=-4
-4 = a(1)² + 3
-4 = a + 3
a = 7
Therefore the equation of the parabola in vertex form:
f(x) = 7x² + 3
Xavier has a savings account with a balance of $320 and deposits(adds money
into account) $12 per month. Dayuan has a savings account with a balance of
$266 and deposits $30 per month.
write the inequality to determine the number of months xavier's account balance will greater than dayuans account balance
Answers
Answer:
320 + 12h > 266 + 30h
Step-by-step explanation:
Xavier total = 320 + 12h
Dayuans total = 266 + 30h
Where h = number of months
The inequality to determine the number of months xavier's account balance will be greater than dayuans account balance is
320 + 12h > 266 + 30h
Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what distance will she cover?
Answers
Answer: 80 miles
Step-by-step explanation:
10mph + 30mph = 40 mph
Distance = Speed × time
D = 40m/h × 2 h
D = 80 m
Which of the following expressions is a simplified form?
Answers
because a is simplified
What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP
Answers
Step-by-step explanation:
A=½bh
A=½(4•3)
A=½(12)
A=6 units sq
What is the prime factorization of 150?
2 × 3 × 5
22 × 3 × 5
2 × 32 × 5
2 × 3 × 52
Answers
Answer:
2x3x5x5
Step-by-step explanation:
150=2,75,5,15,3,5
2,3,5,5
Answer:
2 x 3 x 5 x 5
Step-by-step explanation:
Hey can i have some help real quick?
The question and the answer choices are in the picture!
Ty, and have a good night!
Answers
Answer:
the first one
It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A line passes through the point (–2, 7) and has a slope of –5. A coordinate plane. What is the value of a if the point (a, 2) is also on the line?
Answers
Y = mx + c
7= (-5)(-2)+ c
7= 10 +c
7-10=c
-3=c
Equation of the line: y = -5x-3
Sub in (a, 2)
2= - 5(a)-3
2+3= -5a
5= - 5a
1= - a
A = -1
Answer:
-7
Step-by-step explanation:
