Given:
Two triangles are given in the figure.
To find:
The m∠K and m∠J.
Solution:
In triangle FHK and IGJ,
[tex]m\angle F=m\angle I[/tex] [Given]
[tex]m\angle H=m\angle G[/tex] [Given]
Two corresponding angles are equal. So,
[tex]\Delta FHK\sim \Delta IGJ[/tex] [By AA similarity theorem]
All corresponding angles of similar figures are same.
[tex]m\angle K=m\angle J[/tex] ...(i)
[tex]4y^2=6y^2-40[/tex]
[tex]4y^2-6y^2=-40[/tex]
[tex]-2y^2=-40[/tex]
Divide both sides by -2.
[tex]y^2=20[/tex] ...(ii)
Taking square root on both sides.
[tex]y=\pm \sqrt{20}[/tex]
Now,
[tex]m\angle K=(4y^2)^\circ[/tex]
[tex]m\angle K=[4(20)]^\circ[/tex] [Using (ii)]
[tex]m\angle K=80^\circ[/tex]
[tex]m\angle K=m\angle J=80^\circ[/tex] [Using (i)]
Therefore, the m∠K is 80° and m∠J is 80°.
I need help on having a equations for the bunny and the cat.
Answer:
BUNNY: y = 3x + 5
CAT: y = 1x + 19
Step-by-step explanation:
Answer:
Bunny: 5 + 3y
Cat: 19 + y
Step-by-step explanation:
If we were trying to make an equation about the total number of pounds each animal weighs, we would take the current number of pounds for each animal and then add the product of the pounds they gain and the number of years.
Bunny: 5 + 3y
y - number of years
5 current pounds + 3 additional pounds * y
Cat: 19 + y
y - number of years
19 current pounds + 1 additional pound per year or just 'y'
Hope this helps.
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
1. How much was the tip in dollars?
2. How much was the tip as a percentage of the bill?
Answer:
Because the total is 49.77 and the total is the bill + tip, then the tip is 49.77 - 42 or $7.77. To find the percentage, we just calculate 7.77/42 as a percentage to get 1.11/6 = (111/6)% or 37/2 percent or 18.5%
what is 183+1345=
what is 1436-133=
what is 12453-10000=
what is 1234+14256=
3z2−6z for z=5
Please help?!!
Answer:
3z+2= x ; z=5
3(5)+2
15+2
17
Step-by-step explanation:
The value of the given expression at z = 5 is 45.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is 3z²− 6z.
The value of the expression at z = 5 is given as follows,
3z²− 6z
Substitute z = 5 to obtain,
3 × 5²− 6 × 5
= 75 - 30
= 45
Hence, the given expression can be simplified as 45.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
Explain why (2 + 3i)(2 – 3i) is a REAL number.
Answer: Complex Number, Real Part, Imaginary Part. 3 + 2i, 3, 2. 5, 5, 0, Purely Real. −6i, 0, − ... Example: add the complex numbers 3 + 5i and 4 − 3i ... Example: (3 + 2i)(1 + 7i) = (3×1 − 2×7) + (3×7 + 2×1)i = −11 + 23i. Why Does That Rule Work
We used the distributive property to multiply a real number by a complex number.(2 − 16i) = (5 − i)(a + bi) = 5a + 5bi −ai + b = (5a + b) +
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!
Answer:
its correct bc the rate of change is add 3 to the x and add 4 to the y
Step-by-step explanation:
everytime you add three to the left , you add 4 to the right
If the mountain is 1,200 feet tall, find the length of the ski lift. *
360 ft
452 it
Ski Lint
Mountain
Answer:
The length of the sky lift is 3.387.05 ft
Step-by-step explanation:
By an online search, i found that the sky lift rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such that:
One cathetus is 1200ft, this is the opposite cathetus to the angle of 20.75°
The length of the ski lift would be the hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus = 1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse = 1200ft/sin(20.75°) = 3.387.05 ft
The length of the sky lift is 3.387.05 ft
Answer:
Cross multiply
Step-by-step explanation:
2x – yl. when x = 3 and y = 10
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x-y Equation/Question
Step 2
2x-y Evaluate for x and y
2(3)-10
Step 3
2(3)-10 Simplify
6-10
answer
-4
Hope this helps
8 + (-51 - -101) * 2
How many times would that person's heartbeat if he/she ran a 5K
race? (If you
don't have a rate at which this person runs, assume the person can
average 6
MPH during the race.
what is the domain of this function? 
x
2
5
8
11
14
17
20
y
1
3
7
13
21
31
43
answer soon please ty!!!
Answer:
no real numbers
Step-by-step explanation:
Can y’all plz help me
Answer:
x=8
Step-by-step explanation:
What fraction of 400 gallons is 180 L? Give your answer in simplest form. 1 gallon = 4.5 L.
HELPP PLEASE ITS URGENT!!!
Answer:
∧·······°·······°·······Hello Person·······°·······°·······∧
Your answer should be:
1/10
Step-by-step explanation:
I hope this helped!
First answer <>o<>
Have a wonderful and blessed day! ~(;-;)~would u plsssss helppp
Answer:
nnnnnnnnnnnnnnnnno
Step-by-step explanation:
answer for the top and bottom asap pls :)
Answer:
slope is 2/3
Step-by-step explanation:
the x values are going up by 2. the y values are going up by 3.
3/5 x 1/4 find each product
Answer:
3/20 or 0.15 as a decimal.
3 and 1/3 +[-2 and 1/4]+1 and 5/6
Answer: Hi, for these type of questions I can help you! I
Step-by-step explanation: hi, my answers are correct but wont always give you a 100%. for any questions contact me and my legal team!
using the elimination method how do I find x and y for the following problem:
4x-7y=13
4x + 7y = -29
Answer:
8x= -16
x=-2
Step-by-step explanation:
1. add 4x+4x=8x
2. subtract -7y+7y=0
3. subtract 13-29= -16
4. divide -16 by 8x= -2
you basically align the variables and solve down.
Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form.
Oy=x+8
Oy=x-8
Oy= -5x - 10
Oy=-5x + 20
Answer:
[tex]y=x+8[/tex]
Step-by-step explanation:
Slope of straight line can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex](x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)[/tex]
[tex]m =\frac{10-5}{2-(-3)}\\m=1[/tex]
Equation of straight line in slope intercept form is
[tex]y-y_1=m(x-x_1)\\y-5=(x+3)[/tex]
[tex]y=x+8[/tex]
Which graph has a slope of 4/5?
Answer:
remake question and comment on this answer. don't forget the pictures of the graphs!
Is (9, 1) a solution to the equation y = x - 8?
yes
or no
Answer:
yes
Step-by-step explanation:
y = 9
x = 1
1 = 9 - 8
Mr. Jaxon tips 25% of the dinner bill before tax. The expression 0.25(102−x) models the tip amount for a total bill of $102, where x is the dollar amount of tax. Mr. Jaxon tips $23.50. How much is the tax?
Answer: 1.02
Step-by-step explanation:because it is
The tax amount for the dinner bill can be calculated with the given expression.The tax amount for the dinner bill given by Mr jaxon is $8.
Given-
Total Total amount of the bill dinner is $102.
Tips given by Mr. Jaxon [tex]t[/tex] percent is 25 percent of the dinner bill before tax.
The expression for the tip amount [tex]t[/tex] can be model as,
[tex]t=0.25(102-x)[/tex]
Here [tex]x[/tex] is the tax amount.
Put the value of the tip in the above expression we get,
[tex]23.5=0.25(102-x)[/tex]
Divide by 0.25 both side, we get,
[tex]\dfrac{23.5}{0.25} =(102-x)[/tex]
[tex]94 =(102-x)[/tex]
Rewrite the equation for the [tex]x,[/tex]
[tex]x=102-94[/tex]
[tex]x=8[/tex]
Thus, the tax amount for the dinner bill given by Mr jaxon is $8.
For more about the percent follow the link below,
https://brainly.com/question/5777130
2x + y = 14
x + 2y = 16
Answer:
Answer:
x= −1/2 y+7
Step-by-step explanation:
Let's solve for x.
2x+y=14
Step 1: Add -y to both sides.
2x+y+−y=14+−y
2x=−y+14
Step 2: Divide both sides by 2.
2x
2
=
−y+14
2
x=
−1
2
y+7
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
Answer:
∡BCE = 60
Step-by-step explanation:
Here, we want to find the angle marked BCE
From our diagram, the angle marked BCE is y
Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE
mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180
Thus, we have that;
y + 30 + 90 = 180
y = 180-120
y = 60
Simplify the expression:
6(1 + 2b) =
Answer:
6+12b
Step-by-step explanation:
i took a test with this question and got it right
Pls help and SHOW WORKINGS it due asap.
Answer:
C
Step-by-step explanation:
The x coordinate of the rest stop:
1/2 × (the sum of the x coordinates of the highschool and the stadium)
= 1/2 × (3+7)
= 1/2 × 10
= 5
The y coordinate of the rest stop:
- Same thing i did for the x coordinate, but use the y coordinates.
1/2 × (the sum of the y coordinates of the highschool and the stadium)
= 1/2 × (4 + 1)
= 1/2 × 5
=5/2
So the coordinate of the rest stop would be (5, 5/2).
Next for the distance, i used the pythagoras theory so it's like this:
a^2 + b^2 = c^2
Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.
3^2 + 4^2 = c^2
9 + 16 + c^2
25 + c^2
c = 5
(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)
So the final answer is 5 × 6.4, which is 32. The answer is C.
Can someone help me with this? I'll give brainliest if you answer!
Answer:
uhm... if where doing lettes its BC but the number... maybe 14 or something im not really good at this type of math
Step-by-step explanation:
evaluate the expression for k=6
3k - 9
Answer:
9
Step-by-step explanation:
k = 6
3k - 9 = 3*6 - 9
= 18 - 9
= 9
What is the value of X?
Answer:
12
Step-by-step explanation:
Midsections are half of the length of the base of the triangle. 12 - 2 = 10 and half of 20 would be 10.
Answer:
Its most likely 8 because the second layer is 10 and it goes -2 so 10 - 2 is 8
Need the answer to this .
Answer:
is this mnps?
Step-by-step explanation: