Answers
[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) .Related Questions
which list shows the numbers in order in which they would appear from left to right on the number line
Answers
32+(-4) how i rezolv this
Answers
Answer:
=28
Step-by-step explanation:
Have a great day :)
Answer:
32 - 4 = 28
Step-by-step explanation:
just replace the plus sign since there is a negative
f) One number is 78 more than
another. If you add 12 to tbe
smaller number, the result is 50.
What is the larger number?
Answers
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
[tex]x+12=50[/tex]
subtract 12 from both sides
[tex]x+12-12=50-12[/tex]
Simplify
[tex]x=38[/tex]
Therefore,
The smaller number = 38The larger number = x+78 = 38+78 = 116Thus, the larger number = 116
when he was born Frank weighed 4.2 kg.This was 500g more than Sally.What did Sally weigh at birth?
Answers
Answer:
3.7kg
Step-by-step explanation:
4.2kg =4200
4200-500=3700
2 2/3 x 1 1/8
Multiply mixed fractions
Answers
Answer:
3
Step-by-step explanation:
d. Vildu
change in elevation between 8,500 m and -300 m?
Answers
Translate this phrase into an algebraic expression.
Seven more than the product of 22 and Vanessa's savings
Use the variable v to represent Vanessa's savings.
Answers
Answer:
22
Step-by-step explanation:
The algebraic expression is 22v + 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Vanessa's savings = v
The expression that represents the phrase.
"Seven more than the product of 22 and Vanessa's savings."
= 22v + 7
Thus,
The algebraic expression is 22v + 7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The diameter of a circle is 32 inches. What is the circle's circumference?
Answers
Answer:
32[tex]\pi[/tex]
Step-by-step explanation:
if diameter 32 then radius 16
circumference formula 2*[tex]\pi[/tex]*radius
32[tex]\pi[/tex]
Find the zeros of y = x2 – 6x – 4 by completing the square.
Answers
Answer:
The solutions to the quadratic equations are:
[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]
substitute y = 0 in the equation to determine the zeros
[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]
Switch sides
[tex]x^2-6x-4=0[/tex]
Add 4 to both sides
[tex]x^2-6x-4+4=0+4[/tex]
Simplify
[tex]x^2-6x=4[/tex]
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]
[tex]x^2-6x+\left(-3\right)^2=13[/tex]
Apply perfect square formula: (a-b)² = a²-2ab+b²
[tex]\left(x-3\right)^2=13[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x-3=\sqrt{13}[/tex]
Add 3 to both sides
[tex]x-3+3=\sqrt{13}+3[/tex]
Simplify
[tex]x=\sqrt{13}+3[/tex]
now solving
[tex]x-3=-\sqrt{13}[/tex]
Add 3 to both sides
[tex]x-3+3=-\sqrt{13}+3[/tex]
Simplify
[tex]x=-\sqrt{13}+3[/tex]
Thus, the solutions to the quadratic equations are:
[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]
Factor the expression using the GCF
16x+56y
Answers
8 is the largest number divisible by both 16 and 56
Answer:
8(2×+7y)
Step-by-step explanation:
8 is the largest factor
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5. what is the midrange
Answers
Answer:
5.5
Step-by-step explanation:
Given the set of data
5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
The average of the least and the greatest value is known as the midrange
The formula for calculating the midrange is expressed as shown:
Midrange = (Greatest value + Least value)/2
Given
Greatest value = 10
Least value = 1
Midrange = 10+1/2
Midrange = 11/2
Midrange = 5.5
Hence the midrange of the data is 5.5
I will give a brainliest for if you give me answers
Answers
Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.
Step-by-step explanation:
Answer:
the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14
Step-by-step explanation:
Answer is $14 for 7 rides
PLZ GIVE BRAINLIEST
Ed use 3 2/3 cups of peanut butter and 2 cups of powdered sugar to make 1 batch of peanut butter fudge. How much more peanut butter will Ed use than powdered sugar to make 3 batches of fudge?
Answers
Answer:
Ed will use 5 more peanut butter than powdered sugar to make 3 batches of fudge(11-6=5)
Step-by-step explanation:
3 2/3 cups of peanut butter (x)
2 cups of powdered sugar(y)
for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)
and for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge
Ed will use 5 more peanut butter than powdered sugar to make 3 batches of fudge(11-6=5)
Help me with this brainliest
Answers
Answer:
A is the correct answer
Step-by-step explanation:
Angle 3 and angle 5 are on the same side of the transversal. Therefore,
[tex] m \angle \: 3 + m \angle \: 5 = 180 \degree[/tex]
Simplify the following:
a. (x5)(x8) =
b. k9/k2 =
c. (w6)3 =
d. (53)(54) =
Answers
Answer:
a. (x⁵)(x⁸)
[tex] {x}^{5 + 8} [/tex]
[tex] {x}^{13} [/tex]
b. k9/k2
[tex]k {}^{9 - 2} [/tex]
[tex] {k}^{7} [/tex]
c. (w⁶)³
[tex] {w}^{6 \times 3} [/tex]
[tex] {w}^{18} [/tex]
d. (53)(54)
[tex]53 \times 54 = 2862[/tex]
Luke's Auto Wash earned $10 from servicing 2 customers. How many
customers does Luke's Auto Wash need to serve in order to earn $15? *
Answers
PLEASE ANSWER ASASP!
4(c -3) = 8
what is c?
Answers
Answer:
c=5
hope it helps....,
Answer: c=5
Step-by-step explanation:
4(c -3) = 8
4c - 12 =8
4c = 20
c = 5
I have 6 fish. 3 of them drowned. How many fish do I have left?
Answers
Answer:
6
Step-by-step explanation:
because fish don't drown
Georgina buys several packs
of beads. The equation y = 1.50x represents
her total cost y if she buys x packs of beads.
If the data are graphed, what is the value of x
in (x, 16.50)? PO
Answers
Answer:
x = 11Step-by-step explanation:
The equation is:
y = 1.50xWhen y = 16.50, we can find x as:
16.50 = 1.50xx = 16.50/1.50x = 11Answer:
[tex]\boxed {y = 1.5x} \\ 16.5 = 1.5x \\ x = \frac{16.5}{1.5} \\ \boxed {x = 11}[/tex]
Value of x is 11.
11 is the right answer.Simplify the following expression and explain your answer. 3x-y+2y+4xy
show your work plss
Answers
Answer:
Step-by-step explanation:
Here you go mate
PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
Step 1
3x-y+2y+4xy equation/Question
step 2
3x-y+2y+4xy simplify by removing brackets and combining terms
(4xy)+(3x)+(-y+2y)
4xy+3x+y
answer
4xy+3x+y
Answer:
(2x+2y)(2y)+3x-y
Step-by-step explanation:
. . 3x-y+2y+4xy
3x+y+4xy
x²+2xy+y²-x²+2xy-y²+3x-y
(x+y)²-(x²-2xy+y²)+3x-y
(x+y)²-(x-y)²+3x-y
=(x+y+x+y)(x+y-x+y)+3x-y
(2x+2y)(2y)+3x-y
Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.
Answers
Answer:
2 days
Step-by-step explanation:
Step one:
let the number of days be x
and the total height be y
Plant A is 6 cm tall and growing at a rate of 4 cm per day.
the total height is
y=6+4x------------1
Plant B is 10 cm tall and growing at a rate of 2 cm per day.
y=10+2x-----------2
Required
time taken for both plants to have the same height
Step two:
equate the two equations to find when the plants will have the same height
6+4x=10+2x
collect like terms
4x-2x=10-6
2x= 4
divide both sides by 2
x= 4/2
x= 2 days
if i run 160 meters 20 times in 2 hours how fast am i going
Answers
Answer:
1700 meters / hour
Step-by-step explanation:
160x20 = 3200
3200/ 2 = 1700
what is the slope and y intercept?
Answers
Answer:
y-int: -9, slope: 3/5
Step-by-step explanation:
Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 C. 13 + 2x + 3x – 3 + 8x D. 20x-2 - 7x + 12
Answers
Answer:
B is the answer
Try all and see for yourself
Please help ASAP!!!!!!!!!!!!!
Answers
Answer:
im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-
Step-by-step explanation:
happy new year!
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answers
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
Step by step Explanation:
first multiply 12.8 * 5.3
From that you get 67.84
Then round to the nearest tenth which gives you 67.8
Glad I can help :)
Let y be a function of x such that 8x+7y=51 what is the rate of change of y with respect to x
Answers
Answer: -8/7
Step-by-step explanation:
Which is the measure of ∠XYZ?
Answers
Answer:
you get the measure of angle XYZ by adding the measures of angles XY? and ZY?
70 +35 = 105 degrees is the measure of angle XYZ
Please help ASAP!! 20 points givin
Answers
Answer:
d or b
Step-by-step explanation:
quick math
Hope it helps :)
Please help me with this question
Answers
Answer:
11/4
29/6
32/5
Step-by-step explanation:
Answer: 11/4, 29/6, 32/5
Step-by-step explanation:
This is going to help trust me
