X=
Y=
The polygons to the right are similar. Find the value of each variable
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7
Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
need help will give brainliest
Please help me find the answer ASAP
Answer:C Because there the same sides
5.solve for x 6. solve for x
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
Answer:
Step-by-step explanation:
The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.
The length of the rectangle is ___ in.
The width of the rectangle is___.
Answer:
Length = 16 in
Width = 12 in
Step-by-step explanation:
Given:
Area of a rectangle = 192 in²
Ratio(length to width) = 4:3
Find:
Length and the width
Computation:
Ratio(length to width) = 4:3
So,
Length = 4a
Width = 3a
Area of a rectangle = Length x Width
192 = 4a x 3a
192 = 12a²
a² = 16
a = 4
Length = 4a = 4 x 4 = 16 in
Width = 3a = 3 x 4 = 12 in
i need help with this question
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).
Answer:
To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance
Step-by-step explanation:
Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
Please help me with those questions please
Answer:
7.5
35.2
1.5
20
Step-by-step explanation:
1. vertical angles are equal
(2x+17)=(4x+2)
15= 2x
x= 7.5
2. adjacent angles equal 180
(2m+8)+(3m-4)= 180
5m+4= 180
5m= 176
m= 35.2
3. (30s+5)=(20s+20)
10s= 15
s=1.5
4. 4p+5p=180
9p=180
p=20
sorry that took so long. I was babysitting lol
PLS HELP (MARKING BRAINLIEST)
Answer:
there is a fraction calculator you can use
https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
Is this correct and if not what am I missing?
Answer:
Yes you are correct
The peak is at 5
Step-by-step explanation:
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).
Answer:
10/10
Step-by-step explanation:
Ez..........................................................
Help!! I have 55 seconds to do this
Answer:
the answer is A
Step-by-step explanation:
78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer
WILL GIVE BRAINLIEST
Answer:
They only intersect once. (Correct letter is B)
Step-by-step explanation:
Slope Intercept Form:
2x - 4y = 3
-2x -2x
________
-4y = -2x + 3
Switch the signs of all of the numerals since you cannot have a negative 'y' value.
4y = 2x - 3
---- ---------
4 4
y= 1/2x - 3/4
-----------------------------------------------------------------------------------------------------------------
7y - 5x = 8
+5x +5x
----------------
7y = 5x + 8
---- ---------
7 7
y= 5/7x + 1 1/7
-----------------------------------------------------------------------------------------------------------------
After graphing the lines, you then can see that the lines only ever intersect once.
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
short song i made what yall think of it?
a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?
Answer:
8 yards
Step-by-step explanation:
/\
/ \
/ \
----------
/ and \ = 8
_ = 10
Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.
Answer:
Frx8txutxitxigxtix7fv7t8citcti
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ5
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
36 is 18% of what number?
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
:/
I hope