Given right triangle ABC with altitude BD drawn to hypotenuse AC. If
AC 18 and DC · 15, what is the length of BC in simplest radical
form?
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.
Answer:
it depends on the size and angles that are given
SSS means side side side
SAS means side angle side
ASA means angle side angle
AAS means angle angle side
pls help me with this problem mam confused
Answer:
96 yd^2
Step-by-step explanation:
Multiply l • w: 3 • 8 = 24 in
Convert inches to yards using the scale on the right:
24 • 4 = 96 yd^2
Help fast it is math and really fast need help
Given:
The table of value and y is inversely proportional to square of x.
To find:
The value of c and d.
Solution:
It is given that y is inversely proportional to square of x. So,
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=k\dfrac{1}{x^2}[/tex] ...(i)
Where, k is the contant of proportionality.
From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get
[tex]4=k\dfrac{1}{3^2}[/tex]
[tex]4=\dfrac{k}{9}[/tex]
[tex]4\times 9=k[/tex]
[tex]36=k[/tex]
Putting [tex]k=36[/tex] in (i), we get
[tex]y=36\dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{36}{x^2}[/tex] ...(ii)
Putting [tex]x=5,y=c[/tex] in (ii), we get
[tex]c=\dfrac{36}{(5)^2}[/tex]
[tex]c=\dfrac{36}{25}[/tex]
Putting [tex]x=d,y=2[/tex] in (ii), we get
[tex]2=\dfrac{36}{d^2}[/tex]
[tex]d^2=\dfrac{36}{2}[/tex]
[tex]d^2=18[/tex]
Taking square root on both sides, we get
[tex]d=\pm \sqrt{18}[/tex]
[tex]d=\pm 3\sqrt{2}[/tex]
Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].
Answer:
8.238
Step-by-step explanation:
it might not be right, but it was not fast either XDDD
dang, i took to long to tell u
:)
MARKING BRAINLIEST
PLS HELP
Answer:
-7
Step-by-step explanation:
Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.
what is the distributive property of 6(14+7)
Answer:
126
Step-by-step explanation:
6 (14 + 7)
6 (21)
126
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
plzz help I will mark brainliesttttt
Answer:
HOPE IT HELPED U .....
Step-by-step explanation:
a). f(5)= 2x +6
= 2 *5+6
= 10+6
=16
(b). g (9)= -12x+4
= -12*9+4
= -108 +4
=-104
(c). f(5)+f(9)= 16+(-104)
=-88
Answer:
Step-by-step explanation:
f(x)=2x+6
f(5)=2*5+6
f(5)=10+6
f(5)=16
g(x)=-12x+4
g(9)=-12*9+4
g(9)=-108+4
g(9)=-104
How does the graph of
g(x) = 0.5(2)*-3 – 1
compare to the graph of
the parent function
f(x) = 2*?. Write a full
description.
Answer:
Here we have:
f(x) = 2^x
g(x) = 0.5*2^(x - 3) - 1
We want to compare g(x) and f(x).
The first thing we should do here, is to define the transformations used.
Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards
if N < 0, the translation is downwards.
Horizontal translation:
For a function f(x), a horizontal translation fo N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left
if N < 0, the translation is to the right.
Vertical dilation:
For a general function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
Ok, now let's start with f(x), and try to use transformations to construct g(x).
We start with f(x).
If we start with a vertical dilation of scale factor k = 0.5, then:
g(x) = 0.5*f(x)
if now we apply a horizontal translation of 3 units to the right, we get:
g(x) = 0.5*f(x - 3)
if now we apply a vertical translation of 1 unit down, we get:
g(x) = 0.5*f(x - 3) - 1
Replacing by the actual function we get
g(x) = 0.5*2^(x - 3) - 1
So we got g(x).
Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.
What is the interquartile range of the data set shown below?
25, 28, 32, 35, 36, 40, 46
Answer:
IQR = 12
Step-by-step explanation:
interquartile range is the difference between quartile 3 and quartile 1
in this set of data Q3 = 40 and Q1 = 28
so IQR = 12
My grades depend on this question! Please help! Brainliest will be given out for this!
Answer:
2006
Step-by-step explanation:
1 + 2(1027) + 6 + 7 - 8 • 9 + 10
1 + 2054 + 6 + 7 - 72 + 10
2006
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
Step-by-step explanation:
x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)
let third angle be y because the base of an isosceles triangle are always equal.
y+x+y=180 degree (sum of interior angles of a triangle)
y+94=180
y=180-94
y=86 degree
for angle x
substitute the value of x
x+y=94
x+86=94
x=8 degree
A small auditorium has 20 seats in the first row and each successive row contains 2
additional seats. If there are 12 rows in the auditorium, how many seats are in this
auditorium?
O 384
O 372
O 330
O 264
Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
[tex]= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372[/tex]
Learn more about an arithmetic progression here: https://brainly.com/question/20733446
#SPJ2
John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?
pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.
Answer:
3.14
Step-by-step explanation:
Because you know it's the right answer.
Pls help. What is the appropriate congruent for these triangles
Answer:
ASA
Step-by-step explanation:
In given triangle
Line BC = Line QR
Angle ABC = Angle PQR
Angle ACB = Angle PRQ
Computation:
Angle ABC = Angle PQR (Angle)
Line BC = Line QR (Side)
Angle ACB = Angle PRQ (Angle)
So,
ΔABC ≅ ΔPQR
By Angle Side Angle property
ASA
plss Pa answer po!!!!!!!!!!!!!
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
Explain how rays AB and AC form both a line and an angle.
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?
What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
7x + y = 14
-2x - y = 6
Step 2: Solve for x
Elimination
Combine 2 equations: 5x = 20[Division Property of Equality] Divide 5 on both sides: x = 4Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?
Answer:
The square is the quadrilateral.
Step-by-step explanation:
A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.
If a quadrilateral is a square and we make its diagonal so that we get two triangles.
These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each other.
here, the triangles ABC and ADC are congruent and isosceles.
What is the value of x?
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
Please help me it’s for a quiz
A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.
Answer:
*cough**cough* Ms. Roth?
During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.
Answer:
96
Step-by-step explanation:
120/1.25=96
Noah needs to sell 96 slices of pizza to earn $120.
complete the following proof by filling in the missing parts. NO LINKS
Answer:
below
Step-by-step explanation:
a.. it divides the triangle into two equal parts
b.. it is an isosceles triangle
c.. the base line of a mid point are equal
d.
g. two angles are equal in isosceles triangle
hi, i know this is basic math and stuff but I still need some help
Answer:
the answer is :
20 for the first figure
12 for the second figure
30 for the last figure
Answers:
Perimeter = 22 cmPerimeter = 22 cmPerimeter = 30 cm==============================================
Explanation:
The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.
So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).
For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.
It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Find sin
A. 3/5
B.4/5
C.1
D.5/4
Answer:
Sin < A is 4 / 5
Step-by-step explanation:
sin = Opposite side / Hypotenuse side
sin = 8 / 10
sin = 4 / 5
For an experiment, Doris brought a container filled with snow into a warm environment. After 4
minutes, 12.88 grams of the snow remained. How many grams of snow were in the container
originally if 44% of it had melted after the 4 minutes?
Answer:
23 grams of snow
Step-by-step explanation:
44% melted, so, 100% - 44% = 56% remained.
56% = 12.88 grams
1% = 12.88/56 = 0.23 grams
100% (= original snow) = 100×1% = 100×0.23 = 23 grams
the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.
so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.