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
Will mark brainlist!! Nick’s Burgers is a fast-food restaurant that sells 140 burgers a day. If sales increase by 60%, how many burgers does the restaurant sell in a day?
A.56
B.148
C.200
D.224
Answers
Answer:
D- 224
Step-by-step explanation:
10% of 140 is 14
So then you multiply 14 by 6 to get 60%
then you add that to 140 to equal 224.
The correct statement is that if the sales of burgers at Nick's Burgers increases by 60%, the total sales per day will be increased to 224 burgers per day from 140 burgers per day.
What is Increased Sales?An increase in sales refers to as the positive shift in the sales of goods as compared to previous sessions during a given period of time, given that other factors vary.
The increase in sales will happen as a result of the strategies that may have been adopted by Nick or increase in the demand due to external factors.
The calculation of increased no. of burgers sold per day can be calculated by using the formula and putting the values given in the example as below,
increased sales = 224
So, the new sales of burgers per day is calculated as 224 per day.
Hence, an increase in sales of burgers at Nick's by 60% will result in sales of 224 burgers per day from 140 burgers per day.
Learn more about increase in sales here:
brainly.com/question/26037072
#SPJ2
Find the volume of a right circular cone that has a height of 12.4 in and a base with a
diameter of 15.6 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
789.6 in³
Step-by-step explanation:
r=d/2
r=15.6/2
r=7.8 in
Then Volume=1/3pier²h
1/3(3.14)(7.8)²(12.4)
1/3(3.14)(60.84)(12.4)
2368.866/3
=789.622
=789.6 in³
In a school of 500 students, a random sample of 60
students are asked what their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?
Answers
it would be 2 people
if mr. Johnson dress 172 miles from Seattle to Portland in 4 hours then the average speed of the rental van for that portion of the trip is how many miles per hour?
Answers
Answer:
43 miles per hour
Step-by-step explanation:
just divide 172 by 4!
Answer:
43 miles per hour
Step-by-step explanation:
172 divided by 4
answer quick ill give brainliest
Answers
If h(x) = {(0, -9), (5,2), (8, -3), (10, 11)}, which set of ordered pairs represents
the inverse of h(x)?
O A. {(0,9),(-5, -2), (-8,3), (-10,-11)}
O B. {(-9, 0), (2,5), (-3, 8), (11, 10)}
C. {(0, -9), (5,2), (8, -3), (10, 11)}
D. {(9,0), (-2,-5), (3, -8),(-11, -10)}
Answers
Answer:
B
Step-by-step explanation:
.
b) Express as a single fraction in its simplest form
[tex] \frac{3}{x} + \frac{5}{x - 2 } [/tex]
Answers
The area of a rectangular raised garden bed for growing beets is given by the expression (3b)(3b-3) The length, l, of the mat is greater than its width, w.
Based on the given information and the formula for area of a rectangle, which of the following statements must be true?
Select all that apply.
Answers
Which equation is correctly setup to solve for x?
Answers
The formula for the hypotenuse of a triangle is:
[a squared] plus [b squared] = c squared
a and b represent the two sides of the triangle.
You would have to square 8 and 4, add them, then take the square root of it to find the length of the hypotenuse.
The first equation is correct.The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the temperature in the enclosure should not vary by more than 5° F. Which absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure?
Answers
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
Using absolute value, it is found that the equation that could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure is:
[tex]|T - 81| = 5[/tex]
The absolute value function is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.In this problem, the temperature T should be within 5º F of 81ºF, hence, the absolute value of the difference between T and 81 should be of 5, that is:
[tex]|T - 81| = 5[/tex]
To learn more about absolute value, you can take a look at https://brainly.com/question/24514895
solve the equation
b3=1000
Answers
Answer:
i think this is what u want
Step-by-step explanation:
plezz........ mark brainliest
−3−3/4(c−4)=5/4
3/4 and 5/4 are both fractions
Answers
Answer:
c = −[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
if you want the answer in mixed number form it’ll be c= -1 2/3
Helppp me with this problem plz !
Answers
Answer:
Option b
When prime factorizing you get 2 to be common and 5 and 2 (which makes 10) to be odd.
Therefore the answer is [tex]2\sqrt{10}[/tex]
Pls help me! (10 points) thank yoy
Answers
the function is f(×) is square root
Solve for X
Solve for X
Answers
Work:
5x-3+48+90=180 (sum)
-3+48+90=135
135+5x=180
subtract 135 from 135 and 180 and that gives you 45
5x=45
divide each side by 5
x=9
Answer:
x=9*
Step-by-step explanation:
48*+(5x-3)*+90*=180* (its is 180* because it is a line)
5x+135*=180* (combine like terms)
-135* -135* (subtract 135*)
5x=45* (divide by 5)
x=9*
dont mind the asterisks they are my degree signs
hope this helps
brainliest?
On Monday, Jayla raised $30 and Carlos raised $50.
After that, Jayla raised $12 per day and Carlos
raised $7 per day. After how many days will they
have raised the same amount?
They will raise the same amount after days.
Answers
Answer:
84 days
Step-by-step explanation:
You would use the LCM to solve this.
12 and 7 don't share any common factors other than 1,
so you would multiply 12 x 7, which gets you 84.
After 84 days they would have raised the same amount.
What is 5,200,000 written in scientific notation
Answers
Answer: 5.2 x 10⁶
Step-by-step explanation:
What value makes the equation true 18x- 23 = 1 + 6x ?
Answers
Answer:
2
Step-by-step explanation:
Hope this helps, and good luck!
Answer:x=2
Step-by-step explanation:
What’s the 69th term of the arithmetic sequence -13, -33, -53
Answers
Answer:
(-1373)
Step-by-step explanation:
a = 1st term = -13
Common difference = d = 2nd term - 1st term
d = -33 - (-13) = -33 + 13
d = -20
n = 69
nth term = a + (n-1)d
69th term = (-13) + 68 * (-20)
= -13 - 1360
= - 1373
can someone please help me?
Answers
Answer: the water increases by 2 every hour
Step-by-step explanation:
Answer:2 inches per hour
Step-by-step explanation:
The x axis shows how many hours have passed and the y axis shows how many inches it is so on 1 hr it had 2 inches and on 2 hrs it had 4 inches
Describe in detail where do pandas live. (3-5 sentences)
Answers
Answer:
Giant Pandas are big creatures that live in south central China. In Sichuan, Shaanxi and Gansu provinces in mountain ranges. They live there because they get heat stress if the temperature rises 25 degrees Celsius (77 F). “They have to live at temperatures below that to stay healthy,” Spotila said. “In nature, they actively seek out cool areas (micro habitats) in summer and move to higher elevations to avoid heat.”
Step-by-step explanation:
which development would most likely cause the supply of a product to decrease?
a. government regulations increase the cost of making the product
b. new technology allows the product to be made more quickly
c. more workers receive the education needed to create the product
d. businesses expect the product to start selling at a higher price
- apex ( personal finance/business)
Answers
Answer:
The anwser is A.Government regulations increase the cost of making the product
Step-by-step explanation:
9.3x10^7 - 3.4x10^6=
Answers
121 = −5 + 6(−4v + 5)
Whats v
Answers
Answer:66
Step-by-step explanation:66
Answer:
v=-28.75
Step-by-step explanation:
-5+6(-4v+5)=121
1(-4v+5)=121
-4v+5=121-1
-4v=120-5
v=115/-4
shift the negetive sign from denominator to numerator
v=-115/4
v=-28.75
please mark as brainliest
En una escuela hay 135 mujeres y la razón entre hombres y mujeres es de 7 a 9. ¿Cuántos estudiantes hay en la escuela? *
Answers
Answer:
There are 531.5625 students which is 531 students in the school
Step-by-step explanation:
We add the ratio numbers ( 7 + 9 = 16)
We then divide that number by 135 ( 135 / 16 = 8.4375)
After we multiply by each ratio number, ( 7 and 9).
And we end up with 531.5625, also 531 students.
--------------------------------------------------------------------------------
Hay 531.5625 estudiantes, que son 531 estudiantes en la escuela.
Explicación paso a paso:
Sumamos los números de razón (7 + 9 = 16)
Luego dividimos ese número por 135 (135/16 = 8.4375)
Después, multiplicamos por cada número de razón (7 y 9).
Y terminamos con 531.5625, también 531 estudiantes.
The price of Stock A at 9 A.M. Was $15.59 Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $16.34 It begins to decrease at the rate of $0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
Prices of the two stocks A and B become same in 42 hours
Step-by-step explanation:
Let t denotes number of hours in which the prices of the two stocks A and B become same.
Price of stock A = $15.59
Increase in price per hour = $0.12 t
Price of stock B = $16.34
Decrease in price per hour = $0.11 (t - 3)
(since price of stock A starts increasing per hour after 9 A.M. and price of stock B starts decreasing per hour after 12 noon that is 3 hours after 9 A.M.)
To find number of hours in which the prices of the two stocks A and B become same, solve [tex]15.59+0.12t=16.34+0.11(t-3)[/tex]
[tex]15.59+0.12t=16.34+0.11(t-3)\\15.59+0.12t=16.34+0.11t-0.33\\0.12t-0.11t=16.34-0.33-15.59\\0.01t=0.42\\t=42[/tex]
So, prices of the two stocks A and B become same in 42 hours
I'LL GIVE BRAINLIEST IF YOU HELP ME
Of the 16,000 applicants to the University of Texas at San Antonio, 1/4 were accepted, and 3/8 of those accepted decided to attend. How many of the original applicants decided to attend the University of San Antonio?
Answers
You’re answer is 14.1% of the applicants decided to attend the University of San Antonio
Elise says, "If you subtract 13 from my number and multiply the difference by -6, the result is -60 ." What is 's number?
please help will give brainiest!
Answers
Answer:
n = 23
Step-by-step explanation:
n - 13 x -6 = -60
distribute:
(n x -6) - (13 x -6) = -60
-6n - (-78) = -60
two negatives in front of a number makes it a positive number
so rewrite -6n + 78 = -60
-6n = -60 - 78
-6n = -138
n = [tex]\frac{-138}{-6}[/tex]
n = 23
Answer:
34
Step-by-step explanation:
Its true trust me.
What is the answer? 30 points and I give Brainliest :)
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answers
Answer:
.05n + .25( 35-n) = 6
Step-by-step explanation:
Add the value of each coin times the number of each coin to get the total amount
.05n + .25( 35-n) = 6
ive been trying at this for an hour help plz?
Answers
Answer:
[tex]x\geq -4[/tex]
Step-by-step explanation:
[tex]3x-9\geq-21[/tex]
add 9 to both sides
[tex]3x-9+9\geq -21+9[/tex]
[tex]3x\geq -12[/tex]
divide both sides by 3
[tex]\frac{3}{3}x \geq \frac{-12}{3}[/tex]
[tex]x\geq -4[/tex]
Plot a solid dot on -4 on the number line because the inequality sign is great than or equal to and x the great than or equal to -4.
The arrow is then pointed to the left >>>>