Answers
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
Related Questions
Which expression will be easier to simplify if you use the community property to change the order of the numbers
Answers
Answer:
the answer is c beucse yses
Step-by-step explanation:
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answers
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
Plsss helppppssssss me :< and explain thatttttt
Answers
Answer:
you need to take a better picture nobody can see that i not trying be be rude
Step-by-step explanation:
Answer:
upload clear picture, it is very easy
Step-by-step explanation:
When you flip a biased coin the probability of getting a tail is 0.46.
Find the probability of getting a head.
Answers
Answer:
54%
Step-by-step explanation:
Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.
What are mutually exclusive events?Two events are mutually exclusive or disjoint if they cannot both occur at the same time.
P(getting a head) + P(getting a tail) = 1
(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)
P(getting a head) + 0.46 = 1
P(getting a head) = 1 - 0.46 = 0.54
Learn more about mutually exclusive events here
https://brainly.com/question/5492865
#SPJ3
Find the equation of the line.
Y=__x + __
Answers
i’ll use (0,-6) and (-4,-5)
it takes 1 vertical unit and 4 horizontal units to the left to get there, so the slope is 1/-4
to find the y intercept (b), it’s simply the point where the line intercepts the y axis (vertical line). in this case it’s at (0,-6). the y intercept would then be -6
now just plug those into the slope intercept form: y = mx + b
the equation of the line is y = 1/-4x - 6
Which of the following is a perfect square trinomial?
A. x + 10x + 20
B.x?+ 10x + 50
C.x + 10x + 25
D.x? + 5x + 10
Answers
Answer:
A
Step-by-step explanation:
168 stickers for 24 students unit rate
Answers
Answer:
89/12
Step-by-step explanation:
Answer: The unit rate is 7 stickers per student!
Step-by-step explanation: This can be found by dividing the amount of stickers by the amount of students.
Hope this helps, if not, comment down below please!!!
In Diagram 1, the value of x is what?
Answers
Answer:
x = 18.75
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x-10 = 65-x
Add x to each side
3x-10+x = 65-x+x
4x-10 = 65
Add 10 to each side
4x-10+10 = 65+10
4x = 75
Divide each side by 4
4x/4 = 75/4
x = 18.75
39
Which statement is true of the numbers
and -0.328?
6 Which equ
rational nu
А
0.33.
A Only 39 is rational.
B
0.33
B
Only -0.328 is rational.
C 0.35
Both numbers are rational.
D 0.3
Both numbers are not rational.
Answers
What's the answer ?
A. B. C. Or D?
Answers
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
What is the slope of (-3,4) and (0.3)
Answers
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
What is a trinomial in a problem
Answers
It’s a lot but hopefully I help:)
help TWT ;-;-;-;-;-;-;
Answers
Answer:1
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation:
Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistent
number of miles
per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the
equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to
complete the trip.
Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve
the equation to determine how many gallons of gasoline he must purchase.
Answers
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
The radius of a circle is 2 feet longer than the radius of another circle. What is the
radius of each if their areas differ by 241 square feet?
Answers
Answer:
Step-by-step explanation:
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below
Answers
Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
graph linear equations
I'm confused on how to do this problem... How do you do this problem the correct way because I can't figure it out
Answers
can some one plz help me with a queston i posted
Answers
Answer:
ok what is it
Step-by-step explanation:
which is the best estimate of -14 1/9 × -2 9/10
Answers
Answer: 42
Step-by-step explanation:
-14 1/9 would round to -14
-2 9/10 would round to -3
-14 x -3= 42
pls answer properly im giving all my points for this question
47 points
Answers
Answer:
A)
Step-by-step explanation:
-7x - 4x = 8 -2x - 8x
Answers
Answer:
3x = 8
Step-by-step explanation:
combine all the #x's on the left side
Answer: x= -8
Step-by-step explanation:
-11x=8-2x-8x
-11x=8-10x
-11x+10x=8-10x+10x
-x=8
-x/-1 = 8/-1
Juan is debating whether or not to continue the recent lunch special promotion at his restaurant. The following graph shows the profit earned, y, from the number of lunch specials ordered per hour, x.
Answers
Answer:
Max profit is 115. The resturant will break even after 10 lunch specials. The interval on which the restaurant makes a profit is (0,10).
Step-by-step explanation:
Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2
Answers
Answer:
1/2
Step-by-step explanation:
We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
Answers
Answer:
10
BEEP
BPEE
BEPE
EEPB
EEBP
EBEP
EPEB
PBEE
PEEB
PEBE
Answer:
12
Step-by-step explanation:
4! is 4*3*2*1
since there were 4 letters 4 could be chosen at the first letter
since one of the letters were chosen only 3 could be chosen as the second letter
and then it is 2 because there are 2 letters left
and 1 because there is only 1 letter left
so 4!
Then you divide by 2 because the 2 es are indistinguishable
Due in 3 minutes please help
Answers
Answer:
1847 - 24% decrease
1848 - 68.42% increase
Hope this helps.
If a = 15 and c. 25 what is the length of leg b of a right triangle using the
pythagorean theorem?
Answers
Answer:
b=20
Step-by-step explanation:
[tex]b ^{2} + {a}^{2} = {c}^{2} \ \\ {b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {25}^{2} - {15}^{2} = 625 - 225 = 400 \\ b = \sqrt{400} = 20[/tex]
Given : In a triangle ABC , a = 15 , c = 25 . Also the triangle is a right angled triangle .
To Find : The value of b using the Pythagoras Theorem.
Solution : The value of side a is 15 , c is 25 and we have to find b . The sides with be Pythagorean Triplet whose smallest member will be 15 . So the third member. will be 20 . And the largest member is 25 .
The Pythagoras Theorem is :
[tex]\boxed{\red{\bf hypontenuse^2=base^2+perpendicular^2}}[/tex]
⇒ c² = a² + b² .
⇒ b² = c² - a² .
⇒ b² = ( c + a ) ( c - a ) .
⇒ b² = ( 25 + 15 ) ( 25 - 15 ) .
⇒ b² = 40 × 10.
⇒ b² = 400.
⇒ b² = √400.
⇒ b = 20 .
Hence the value of c is 20 .
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answers
Answer:
The answer is 1.788
Step-by-step explanation:
A dog kennel charges $20 per night to board your dog. You can also have a dog treat delivered to your dog for $5. The equation 20x+5y=100 models the situation of possible combinations of nights at the kennel (x) and dog treats (y) that you can buy for $100.
Describe what the intercepts mean in context of the story.
Answers
Answer:
wow they are so tricky about what the math means.. huh :D why ask abstract math questions when it's supposed to be real hmmmm welll anyway
Step-by-step explanation:
so the y intercept or 0=y means you get your dog no treats... maybe you hate your dog... or he was bad in some way... no treats for you dog !! >:/
The X=0 intercept mean you love your dog and don't take him to the dog kennel but keep him at home. And take care of him yourself.. but you could still get him treats :) Probably for less then 5 dollars too.. I saw some at Costco for a lot less.. :)
Answer Fast Please And Thank You
Answers
Answer:
a d
Step-by-step explanation:
maybe
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answers
Answer:
x and y both equal 24