∆ XYZ ≅ ∆ MNL
Find XY
The length of XY is 8.
What are congruent triangles?When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.
Given that, the triangles ΔXYZ and ΔMNL are congruent.
Therefore, XY≅MN.
Since MN = 8, it follows XY =8.
Hence, the length of XY is 8.
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Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Answer:
72
Step-by-step explanation:
Given that :
Triangle is right angled ;
Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?
From Pythagoras :
Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]
Let length of leg 2 = x
x = sqrt[(75 ² - 21²)]
x = sqrt(5625 - 441)
x = sqrt(5184)
x = 72
A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Answer:
(4√2cos 135, 4√2sin135)
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Given the rectangular coordintate
r = √4²+(-4)²
r = √16+16
r = √32
r = √16*2
r =4√2
Theta = arctan(-4/4)
theta = arctan(-1)
theta = -45
theta = 180 - 45
theta = 135 degrees
x = rcos theta
y = rsin theta
x = 4√2cos 135
y = 4√2sin135
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
BRAINLY POINT CHALLENGE PART TWO
Answer:
D. 12 by 12 inches
Step-by-step explanation:
36*36= 1296
100*44= 4400
50*22= 1100
none of these answers equal 144 except for 12*12
hope this helps <3
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Show your work it’s sublimation
Will give points
Answer: Chnager your profile pic
Step-by-step explanation:
Answer:
noooooo nittt
Step-by-step explanation:well urv gay
A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1921.68mm^3
Step-by-step explanation:
Given data
H=17 millimeters
R=6 millimeters.
We know that the expression for the volume of cylinder is
V= πr^2h
substitute
V= 3.14*6^2*17
V= 3.14*36*17
V= 1921.68 mm^3
Hence the volume is 1921.68mm^3
Joshua drinks 8 cups of water a day. The recommended daily amount is giving in fluid ounces. How many food ounces of water does he drink each day?
Answer:
64 fluid acids=8 cups
Step-by-step explanation:
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
Find the common difference of the arithmetic sequence 8, 17, 26, 35,
Answer:
The answer is 9
Step-by-step explanation:
The segments shown below could form a triangle.
A. True
B. False
Find the discriminant. (Must Show Work)
x^2+4x+4=0
Answer:
0
Step-by-step explanation:
discriminant,b2-4ac
=4^2-4×1×4
=16-16=0
HELP PLS THIS IS DUE TODAY (I WILL BE MARKING BRAINLIEST)
Answer:
1) <
2) >
3) =
4) >
5) =
6)<
Help me plz, thank u! :))))
Answer: twice 31 and 13 = 75
Step-by-step explanation: 31 + 31 = 62 + 13 = 75
Solve 15=3p/6 Need some help
Answer:
p =30
Step-by-step explanation:
[tex]15 = \frac{3p}{6} [/tex]
[tex]15 \times 6 = 3p[/tex]
[tex]90 = 3p[/tex]
[tex]30 = p[/tex]
Find the standard deviation for the test scores
given in the following stem-and-leaf plot.
plsss help i’ll give brainliest if you give a correct answer
Answer:
It is x=7.
Step-by-step explanation:
(7)+8=15 You can subtract and you can get 7!!!
Answer:
X = 7
Step-by-step explanation:
If we take the equation
x + 8 = 15
and then subtract 8 on both sides we get
x = 7
so therefore x is 7 to make the value true.
Gabriela has an average daily balance of $232.94 on her credit card. Her card charges 9.25% annual interest. What will her monthly finance charge be?
$9.25
$21.60
$1.80
$0.78
Answer:
Step-by-step explanation:
B
Answer:
C
Step-by-step explanation:
$232.94 * 9.25% = 21.54694
21.54694 rounds up to 21.55
21.55/12 = 1.7958333333
1.7958333333 rounds up to 1.80
------------------------------------------------------------
This is a late answer but other people might need it :)
I put B as my answer and I got it wrong, I tried again and put C and got it right.
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?
Answer:
T'(4, 3)Step-by-step explanation:
The rule of 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)Apply the rule to the point T:
T(3, -4) → T'(4, 3)Answer:
A(x,y)____rotation through 90°. >A'(-y,x)
Step-by-step explanation:
T(3,-4))____rotation through 90°. >T'(4,3)
R(2,3))____rotation through 90°. >R'(-3,2)
S(5,-1))____rotation through 90°. >S'(1,5)
Solve the equation 9=h/9
What is the factorization of the polynomial below? 3х2 + 30x + 48
Answer:
3(x+2)(x+8)
Step-by-step explanation:
Answer:
[tex]3(x+8)(x+2)[/tex]
Step-by-step explanation:
[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]
Answer this question to get marked as brainliest!!!
3. A pair of tennis shoes cost $48.60 including sales tax. If the sales tax rate is 8%, what is the cost of the tennis
shoes before the tax is added?
Answer:
The answer for it is 44.71
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)
Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
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The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.
Answer:
£5787.50
Step-by-step explanation:
mark brainliest
Which expression is represented by the model?
The graph of linear function g passes through the point (-3,-10) and has a slope of 2.
What is the zero of g.
Answer:
2
Step-by-step explanation:
when x is 2 y = 0.
lets start with writing the function's equation;
it has a slope of 2 so 2x + k = y
given in the question when x = -3, y = -10
so k = -4
y = 2x - 4, 0 = 2x-4 then x = 2