[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]
Step-by-step explanation:In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,
If two triangles are congruent then their Corresponding angles and sides are equal.Hence here in ∆ ART & ∆ DFI :-
AT = DI ( cpctc)AR = DF ( cpctc)[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]
Hence the value of x is 6 .
[tex]\rule{200}2[/tex]
[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]
Hence the value of x is 6 and y is (-21) .Use f(x) = 2x + 7 find f(2)
Answer:
i just want 100 points
Step-by-step explanation:
HAHHA BYE
Factorise (3m -2n)^2 +5p(3m - 2n)
Answer: if you factor it you will get this-->(3m−2n)(3m−2n+5p)
Step-by-step explanation:
if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?
Answer:
i think 1/4
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
We name the coins coin 1 and coin 2 for the sake of simplicity.
There are four possible situations:
coin 1 head, coin 2 head
coin 1 head, coin 2 tails
coin 1 tails, coin 2 head
coin 1 tails, coin 2 tails
Only case 1 results in both 'heads'. So the probability is 1/4.
PLEASE HELP (this is all my points I’ll mark brainlist anything please help)
Answer:
I believe that it would be A+C+S but is there more to the question?
Step-by-step explanation:
omg
Step-by-step explanation:
the art students are using clay. Each student needs 9/10
Answer:
ok mam yes mam going to do my clay
Your grandfather gave you $13.50 with which to buy a present. This covered 5/6 of the cost. How much did the present cost?
Answer:
Step-by-step explanation:
5/6 x = 13.50 Multiply both sides by 6
5x = 13.50 * 6
5x = 81 Divide by 5
x = 81/5
x = 16.2
I’ll mark you brainliest if you answer
Answer:
A=Pier^2
a=pie2.5^2
a=19.63
A=Pier^2
a=pie2^2
a=12.57
19.63 - 12.57
=7.07
B
LOOK AT PICTURE, THEN ANWSER QUESTION, WHOEVER GETS CORRECT I WILL MARK BRAINIEST:)
Select the expression that is equivalent to (x+5)'2
Answer:
There are no options but I guess C
Step-by-step explanation:
PLEASE HELP. I don't understand! I will give brainliest!
Below is a graph that contains the lines for all the above equations. Find the line that represents each equation, based on the ordered pairs, and write the equation next to each letter for the line that it represents.
What is the equation for A, B, and E?
Answer:
A is Y equally X
B is X equally 2
E is Y equally -5
Help me pleaaase!!!!!!!
Answer: The answer is D.
Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.
15 is ______% of 400 part, percent, whole?
Answer:
15 is 3.75% of 400
Step-by-step explanation:
Hi there!
First we divide 15 by 400 to get 0.0375.
To find the percentage, more the decimal point two spaces to the right.
This would become 3.75
That’s your percentage!
Hope this helped!
Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
I need help
Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Calculation of the sine, cosine, and tangent:Here first we determine the BC by applying the Pythagorean Theorem.
[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Learn more about an angle here: https://brainly.com/question/3401487
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
A recipe asks for 2 1/3 cups cup of flour.
How many cups of flour are needed for 3 1/2 recipes
Answer:
8.17 sorry if its wrong
Step-by-step explanation:
The width of the rectangle is 40% of its length. What is the area of the rectangle?
A rectangle. The length is 20 feet.
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
The width of the rectangle is equal to 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the width of the rectangle is 40% of its length.
The width will be calculated as,
W = 0.4 x L
W = 0.4 x 20
W = 8 feet
To know more about an area of the rectangle follow
https://brainly.com/question/25292087
#SPJ2
60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds
Answer:
86.4
Step-by-step explanation:
Look at this please i dont need help im just trying to tell everybody something
Answer:
ok
Step-by-step explanation:
Find the percent increase from 85 to 125
Answer: 47.06
Step-by-step explanation: math
2y-x=8 and y-2x=-5. Solve the system of equations
Answer:
y = 7 x = 9
Step-by-step explanation:
2y-x=8
2(2y-x=8)
4y-2x=16
-(y-2x= -5)
3y +0x= 21
3y=21
y=7
2(7)-x=8
14-x=8
9=x
Please help me solve this !:)
Explain your answer
I will give braisnlt . Oh
Answer:
D
Step-by-step explanation:
A is incorrect because if 1 x value corresponds to multiple y values, it is not a function
B is incorrect for the same reason as a
C is incorrect because it is linear
D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.
Which math expression means "the product of an unknown number and 110"? O A. x+110 B. X. 110 C. X-110 D. x+ 110 please help me i give you 20 points and follow you
Answer:
x*110
Step-by-step explanation:
Answer:
It is B: x * 110
Step-by-step explanation:
Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies
Answer:
6188
Step-by-step explanation:
Number of children's movies = 4
Number of comedy movies = 7
Number of mystery movies = 7
Number of horror movies = 5
Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies
To find:
Number of different combinations to rent 9 movies out of which 4 are children's movies
Solution:
Number of movies left to be rented = 9 - 4 = 5
Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17
Now, there are a total of 17 movies out of which 5 are to be selected.
Therefore, we can use:
[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]
where, [tex]n = 17[/tex]
[tex]r = 5[/tex]
[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]
Please help solve this. (Answer is not 80)
Answer:
70
Step-by-step explanation:
triangle is 180deg in total thus,
9 + 7b - 666 +268 The polynomial in standard form
Answer:
7b-389
Step-by-step explanation:
This is the polynomial in standard form. Hope this helps!
boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon
Answer:
7:10 or 3:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
7:10 h
please help!! i’ll give brainly
Answer:
1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.
2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.
3: the answer is simply 0
4: y-(1/5*x-10)=0
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
y - ((— • x) - 10) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (10 • 5) x - 50
———————————— = ——————
5 5
Equation at the end of step
2
:
(x - 50)
y - ———————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y y • 5
y = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
y • 5 - ((x-50)) 5y - x + 50
———————————————— = ———————————
5 5
Equation at the end of step
3
:
5y - x + 50
——————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Hope this helps :)
laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk
Answer:
9 cups of batter
Step-by-step explanation:
laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk
The ratio is given as:
2 cups of milk = 3 cups of batter
6 cups of milk = x
x = 6 × 3/2
x = 9 cups of batter
The equation y= 12x-9 has its y-intercept at the point
Answer:
-9
Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept
Step-by-step explanation:
simplify this algbraic expression completely 5y-3(y+2)
Answer:
2y - 6
Step-by-step explanation:
5y - 3(y + 2)
distribute
5y + (-3 * y) + (-3 * 2)
simplify
5y -3y + ( -3 * 2)
5y - 3y + ( -6)
5y - 3y - 6
combine like terms
5-3 = 2
2y - 6