Answer:
2
Step-by-step explanation:
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
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 .
What is the slope of the line shown.
Answer:
The answer is negative one half. If I am wrong let me know because the picture is a little hard to read.
Step-by-step explanation: To find the slope, you look at the Y axis and see where the line crosses perfectly(or goes through) the Y axis first. Then, you look at the x axis and see where the line crosses perfectly on the x axis. For example, the line crosses the Y axis at negative, and the line crosses the X axis at positive 2. The vertical line is the y axis and the horizontal line is the x axis.
2x + 1=4x-3 solve for x
Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
How many fourths are in 5 wholes?
Answer:
20
Step-by-step explanation:
4/4=1
4x5=20
20 1/4ths in 5 wholes
Answer:
20 fourths
Step-by-step explanation:
1 whole has 4 fourths.
5 wholes has 5 x 4 = 20 fourths.
Hope this helps.
Ralph drove 272 miles in 4 hours. What was his average
speed? (per single hour – unit rate)PLEASE HELP MEE
answer: 68
work:
all you basically do is just divide 272 by 4
If Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed
What is Division?
A division is a process of splitting a specific amount into equal parts.
Given that Ralph drove 272 miles in 4 hours
We need to find his average speed
The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time
Speed=Distance/ Time
Average speed=272/4
=68 miles per hour
Hence, if Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed
To learn more on Division click:
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Complete the following equality. 11 ft = in.
Answer:
11 ft =132in
Step-by-step explanation:
first u multiply the length value which is 12
11 x 12 = 132
I NEED HELP PLEASE HELP ME IF YOU CAN
Answer:
IF=HF
Step-by-step explanation:
If you look at them they are equidistant
Answer:
IF=HF
Step-by-step explanation:
The length of a rectangle is 3 times the width the perimeter is 24ft find the dimensions of the rectangle
Step-by-step explanation:
let the unknown be x
length = 3x
width = x
Perimeter = 2 lengths + 2 widths
24 ft = 3x + 3x + x + x
24 ft = 8x
3 ft = x
dimensions = length × width
= 3(3) × 3
= 9 ft × 3 ft
if you wanna check,
24 ft = 3(3) + 3(3) + 3 + 3
24 ft = 24
What is the slope of the line that passes through the points (0, –7) and (–4, 3)?
-5/2 is the slope of thosr points
Estimate the product of 2774 x 28
A bag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.
Answer:
2/20 or 1/10
Step-by-step explanation: i hope this helps.
pls help me out on this!
Answer:
[tex]=-1\frac{5}{9}[/tex]
Step-by-step explanation:
We want to write:
[tex]-1.\bar{5}[/tex]
As a mixed number in the simplest form.
We can use the following algebraic trick. First, we can ignore the negative and add it on the very end. So, we have the number:
[tex]1.55555...[/tex]
Let's let this equal to n. So:
[tex]1.55555...=n[/tex]
Now, we will multiply n by 10^x for the number of repeating digits x.
There is only one digit repeating (the 5). So, we will multiply both sides by 10^1 or just 10. This yields:
[tex]15.55555...=10n[/tex]
Now, we will subtract n from both sides. This yields:
[tex]15.5555...-n=10n-n[/tex]
On the right, we will just get 9n.
However, let's replace n with 1.5555... on the left. This yields:
[tex]15.5555...-1.5555...=9n[/tex]
All of the repeatings 5s will cancel. 15-1 is 14. So:
[tex]14=9n[/tex]
Now, divide both sides by 9. So, our n is:
[tex]n=\frac{14}{9}[/tex]
And since we originally set n to be 1.5 repeating, this is equivalent to:
[tex]n=1.\bar{5}=\frac{14}{9}[/tex]
And now, we can add back the negative:
[tex]-1.\bar{5}=-\frac{14}{9}[/tex]
We can rewrite this as:
[tex]=-(\frac{9}{9}+\frac{5}{9})[/tex]
So, as a mixed fraction, our decimal is:
[tex]=-1\frac{5}{9}[/tex]
And we're done!
is square root of 26 a rational number
Answer:
The answer is no.
If f(x)=3x^2-2 and g(x)=2x+4, Find (f-g)(x). Explain your process
(2x + 3) + (1x + 2) =
What is the equation of a line that has a slope of 5 and a y-intercept of 3?
Answer:
y = 5x + 3 I just learned this 2 years ago.
Explanation: The y intercept is the beginning of the equation and I'm sure you know y = mx + b, so you take the slope (5) and add x to it, because that is the slope, and add 3 to it because that is y intercept.
Hope it helped!
Please mark brainliest!
HELPPPPPPPPPP PLS I WILL MARK THE BRAINLIEST
Step-by-step explanation:
the answer is x is equal to36
factorise x2-10x-24 plz help
Answer:
(х-4)(х-6)
Step-by-step explanation:
х¹= 4
х²=6
easy
Answer:
(x - 12)(x + 2)
Step-by-step explanation:
Given
x² - 10x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) ← in factored form
need ur help guys!
1. _____ of the graph of a rational function are the points of intersection of its graph and an axis.
2. _____ of a function are the values of x which make the function zero. The numbered zeroes are also ______ of the graph of the function.
3. ______of the graph of a rational function r(x) , if it exists, occurs at the zeros of the denominators. To find _____ equate the function to ____.
4. _____ of the graph of a rational function r(x) if it exists, occurs at r(0), provided that r(x) is defined at x = 0. To find ________ simply evaluate the function at x = ______.
5. An_______is an imaginary line to which a graph gets closer and closer as the x or y increases or decreases its value without limit.
6. To find ________ of a rational function, first reduce the given function to simplest form then find the zeroes of the denominator that are not zeros of the numerator.
7. To determine the_______ of a rational function, compare the degree of the numerator n and the degree of the denominator d.
Answer:
1. Intercept
2. a. Zeros b. x-intercept
3. a. The vertical asymptote b. x-intercept c. Zero
4. a. The y-intercept b. y-intercept c. x = 0
5. Asymptote
6. Vertical asymptote
7. The existence or location of an horizontal asymptote
Step-by-step explanation:
The vertical asymptote is the vertical line to which the y-axis increases infinitely as it approaches the line.
The following angle measures could form a triangle
(a)
31º , 84º , 75°
A True
B) False
(b) Explain why the angel measures form a triangle or do not form a triangle?
Answer:
They don't form a triangle because all triangles degrees have to add up to 180 if you add them all up its 190 so no they don't form a triangle.
Step-by-step explanation:
84+75+31=190
please help with this
Answer:
b.
Step-by-step explanation:
an independent variable is something that you can change or control
An ice cream shop sells ice cream by the scoop. A
single scoop of ice cream costs $3. Each additional
scoop costs $1.25 and and each additional topping
costs $0.50.
Write an equation that represents the cost of ice cream.
Specify what each variable represents.
Complete the missing values in the table.
Answer:
The answer is 3+ 1.25s+ .5t= c
in which:
s is the number of scoops
t is each topping
c is the total cost
Which of the following does not always maintain a shape's congruency?
A) Translation
B) Reflection
C) Dilation
D) Rotation
Answer:
C
Step-by-step explanation:
Dialation because when a shape is made bigger it cannot be mapped back on its self correctly
HELP!!!!On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $7.75. On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95. Which of the following systems of equations can be used to determine the cost for one peach (p) and one watermelon (w)?
1. 5p+2w=$7.75
3p+4w=$10.95
2. 5p×2w=$7.75 (Wrong)
3p×4w=$10.95
3. 5w+2p=$7.75
3w+4p=$10.95
4. 5w×2p=$7.75
3w×4p=$10.95
Answer:
1. 5p+2w=$7.75
3p+4w=$10.95
Step-by-step explanation:
Just make sure the sign is adding and the w and p are in the right spots
Answer: 1. 5p+2w=$7.75
3p+4w=$10.95
Step-by-step explanation: did the test n got it correct, hope this helped :)
PLEASE HELP
find the value of x !
Answer:
x = 32
Step-by-step explanation:
So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:
x + 98 + 50 = 180
Now we solve for x. Subtract 50 from both sides.
x + 98 = 130
Subtract 98 from both sides.
x = 32
So the value of x is 32.
I hope you find my answer and explanation to be helpful. Happy studying.
Ayah akan membuat sebuah kolam ikan hias. Kolam tersebut berbentuk lingkaran dengan panjang diameter 80 cm, luas tanah yang di perlukan untuk membuat kolam adalah??
Answer:
[tex]A=5024\ cm^2[/tex]
Step-by-step explanation:
Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of land needed to make a pool is ??
The diameter of a circular pool, d = 80 cm
It means that,
Radius, r = d/2
r = 40 cm
We need to find the area of the land needed to make a pool. The area of a circular path is given by :
[tex]A=\pi r^2[/tex]
Put the values in the above formula.
[tex]A=3.14\times (40)^2\\\\A=5024\ cm^2[/tex]
So, it will require [tex]5024\ cm^2[/tex] area of land to make a pool.
[tex]how \: can \: you \: use \: dimensional \: analysis \: to \: convert \: between \: measurment \: systems[/tex]
Helppppppppp
In one week, Kenny works at t hours at a cafe and earns $16 per hour. He also
works b hours as a tutor and earns $12 per hour. Which expression best
represents the amount of money Kenny has earned for the week?
Answer:
t*16+b*12=how much money per week
Step-by-step explanation:
hope this helps
plz mark brainliest
- 2x + 3y = 14
x + 2y = 7
Answer:
x = -1 , y = 4Step-by-step explanation:
x + 2y = 7 ⇒ x = 7 - 2y
- 2x + 3y = 14
- 2(7 - 2y) + 3y = 14
-14 + 4y + 3y = 14
-14 +7y +14 = 14 +14
7y = 28
y = 4
x = 7 - 2y = 7-2(4) = 7 - 8 = -1
can someone answer this? 15x3y2 – 30xy and this? 4x5 – 8x4 – 4x3?
Answer:
first one is 135xy^2-30xy
the second one is 4x^3(x^2-2x-1)
Step-by-step explanation:
You can't simplify it any more than it is right now.