Answer:
y=70
x=55
Step-by-step explanation:
In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:
[tex]60=y-10\\60=x+5[/tex]
[tex]60=y-10[/tex]
Add 10 to both sides
[tex]60+10=y-10+10\\70=y[/tex]
[tex]60=x+5[/tex]
Subtract both sides by 5
[tex]60-5=x+5-5\\55=x[/tex]
I hope this helps!
Answer:
x is 55° & y is 70°.
Step-by-step explanation:
This is an equilateral triangle.
In an equilateral triangle all sides are 60°
So,
1) x+5 = 60
x = 55°.
2) y-10 = 60
y = 70°.
Answer: x is 55° & y is 70°.
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?
please helpppp and explain
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Hey I need some help
Answer:
27
Step-by-step explanation:
It is an equilateral triangle, so all sides are 9 ft. 9*3=27.
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
X/6 = 3 x=____ help
Answer:
x =18
Step-by-step explanation:
[tex]\frac{x}{6} = 3[/tex]
x = 3 x 6
x = 18
Verify:
[tex]\frac{18}{6} =3[/tex] (Correct)
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
Why was it important for Athens to have a good navy?
Athens was located on an island.
Sparta was likely to attack by sea.
They needed a way to quickly flee the city.
Transportation in the area was mostly by sea.
Answer:
this would be answer d
owu when minecraft talks to me its like mr blue horse please tell me why you you lead all the creepers to my Mario world 1. he go brrr on a stick is a dog that wants to be a bottle at night with the sun up and the bird went for a walk in his cage while sleeping so i opened a book and it played a video
Step-by-step explanation:
Answer:
the other person is correct
Step-by-step explanation:
D
any smart people want to help me
Answer:
$217.50
Step-by-step explanation:
$135 + (11*$7.50) = $217.50
Answer:
B
Step-by-step explanation:
26 students = 15 students + 11 students
135 for 1st 15, 7.50 for rest
135 + 7.50(11) = 217.50
Therefore, B
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
Find the height of a cuboid whose volume is 540 cu.cm and base area is 90 sq.cm .
Answer:
540/90=6
and is 6 cm
height is 6 cm
The ratio of students to teachers at a school is 19 : 1. At this school, there are 400 people (teachers and students). How many of these 400 people are students? (enter number only, without the unit)
Answer:
There are 380 students and 20 teachers.
Answer:
380
Step-by-step explanation:
Let 19x = no. of students
x = no. of teachers
Then, x + 19x = 400
20x = 400
x = 20
19x = 19(20) = 380
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]Solve each equation mentally.
2x = 10
-3x = 21
ws
1/3x = 6
- 1/3x = -7
Answer:
5, -7, 18, 14
Step-by-step explanation:
1) x = 5
2) x = -7
3) x = 18
4) x = 14
A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?
Answer:
4.5 miles
Step-by-step explanation:
2 times as far as last week
last week was 2.25 miles
2* 2.25 = 4.5 miles
Find the inverse of 3x - 6
3x - 6
3x - 6
-3x + 6
-3x + 6
3x + 6
3x + 6
-3x + 6
Answer:
3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.
What is equivalent to 7x(4x-5)
7x(4x-5)
Distribute
28x^2-35x
Ans : 28x^2-35x
Answer:
28x - 5
Step-by-step explanation:
coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5
For what value of k is the expression x^4 + kx^2 + 49 a perfect square?
Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Completing the square gives
[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
k=± 14
Step-by-step explanation:
[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.
Answer:
only 1 and 2 are correct
Step-by-step explanation:
Here, we want to select appropriately
From the question, all we had to do is to make a subtraction; and that is;
3 5/12 -2 2/3
1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes
2. 3 15/36 can be reduced to 3 5/12
and 2 24/36 can also be reduced to 2 2/3; so this is correct also
3. This is wrong
4. This is wrong
A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?
Answer: 15% I think
Step-by-step explanation:
The percent of increase in the amount of shampoo the new bottle contains is 25%.
Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.
What is the percentage of increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.
Percentage increase = (Final value - Initial value) / Initial value × 100
Now, initial value = 12 and final value = 15
Percentage increase = (15-12)/12 × 100
= 3/12 × 100
= 1/4 × 100
=25%
Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.
To learn more about the percentage increase visit:
https://brainly.com/question/10168902.
#SPJ2
solve each equation below showing every step checking your solution is optional
Answer:
x=4
Step-by-step explanation:
Answer:
for question d, 58.3 repeated
Step-by-step explanation:
cross multiply 3x=175
175/3= 58.3 repeated or 58 and one third.
please help omg ♀️ !!
Answer:
first blank: 50-10=40
second blank: 50-20=30
third blank: 50-25=25
Step-by-step explanation:
hope this helps!
Answer:
Step-by-step explanation:
40 30 25
10 20 25
40 30 25
I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]