Given x || y.
∠1 and ∠2 are _______ angles.
complementary
corresponding
supplementary
vertical
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
A circle has an area of 153.86 square feet. What is the circumference, in feet, of the circle?
Andrew has a board that measures 4.85 meters. How many centimeters is this?
A. 0.485 cm
B. 48.5 cm
C. 485 cm
D. 4,850 cm
Answer:
C. 485 cm
Step-by-step explanation:
1 meter = 100 centimeters
4.85 × 100 = 485
good luck, i hope this helps :)
Segments RS and MN are congruent. If RS = X+10 and MN = 2X + 4, find x
Answer:
x=6
Step-by-step explanation:
RS and MN are congruent, so their measures are the same, so
x + 10 = 2x + 4, collect like terms, get
10 - 4 = 2x - x or
6 = x
Divide.
1.6 23.2
I need help I’m gonna cry.
Answer:
use a calculator
Step-by-step explanation:
its not that hard
If 13% is lost by selling goods for Rs 1475, what would be the loss or gain if the goods are sold for Rs 1615?
Given:
Loss percent is 13%.
Selling price = 1475
To find:
The loss or gain if the goods are sold for Rs.1615?
Solution:
Let x be the cost price of goods.
Loss percent is 13% and selling price is 1475.
[tex]1475=x-\dfrac{13}{100}x[/tex]
[tex]1475=x-0.13x[/tex]
[tex]1475=0.87x[/tex]
[tex]\dfrac{1475}{0.87}=x[/tex]
[tex]1695.4023=x[/tex]
[tex]x\approx 1695.40[/tex]
The cost price of goods is 1695.40.
We need to find the loss or gain if the goods are sold for Rs.1615.
Cost price is greater than the selling price because 1695.40 > 1615. It means , it is a loss.
[tex]Loss=CP-SP[/tex]
[tex]Loss=1695.40-1615[/tex]
[tex]Loss=80.40[/tex]
The loss percent is
[tex]Loss\%=\dfrac{Loss}{C.P}\times 100[/tex]
[tex]Loss\%=\dfrac{80.40}{1695.40}\times 100[/tex]
[tex]Loss\%\approx 4.74\%[/tex]
Therefore, the loss is 80.40 and the loss percent is about 4.74%.
Does anybody know this ... dang ...
Answer: (6, -6)
Step-by-step explanation:
so midpoint =([tex]\frac{X1+X2}{2}[/tex],[tex]\frac{Y1+Y2}{2}[/tex])
for x co ordinate
[tex]\frac{-2+X2}{2}[/tex]=2
-2+X=4 (X2=x co ordinate point for b, can be written as just x now)
X=6
x co ordinate of B= 6
y co ordinates of y
[tex]\frac{-8+Y2}{2}[/tex]=-7
-8+Y=-14
Y=-6
co ordinates B (6,-6)
for proof/extra explanation (NOT necessary for working):
[tex]\frac{Y1+Y2}{2}[/tex]
=[tex]\frac{(-2)+6, (-8)+(-6)}{2}[/tex]
=[tex]\frac{4, -14}{2}[/tex]
=(2,-7)
which is the midpoint M
AB =8 and AD=5. What is BC
Answer:
7 or 6 maybe I don't know if both are correct
Write ea h equation in slope-intercept form; then state the slope and y-intercept:
8x - y = -2
Answer:
written in slope-intercept would be: y=8x+2
the slope would be: 8
the y-intercept would be: (0,2)
Step-by-step explanation:
someone help me solve these three math year7 questions , thank you
Answer:
1.
(a)input:9, output:8&12
(b)input:14,output:3&13
(c)input:7&20,output:50
2.
(a)input:7&6,output:18
(b)input:9&8,output:12
(c)input:14&26,output:0.5
3.
(a)+3
(b)÷3
(c)x7
!!HELP!!! NEED ANSWER ASAP!!!
Write the polynomial in standard form. Then identify the leading coefficient and the constant. Classify the polynomial by the degree and number of terms.
4+5x^(2)-x
Answers:
Standard Form: 5x^2 - x + 4Leading coefficient: 5Constant: 4Degree: 2Number of terms: 3=====================================================
Explanation:
The term with the largest exponent will go first, followed by the next largest exponent, and so on. This will get the polynomial into standard form. So 4+5x^2-x turns into 5x^2-x+4. You can think of this as 5x^2-x^1+4x^0. Note the exponents counting down: 2,1,0.
Each term is separated by a plus or a minus. We can think of 5x^2-x+4 as 5x^2+(-x)+4
The leading term is the first term 5x^2. It has the coefficient of 5, so the leading coefficient of the overall polynomial is 5.
The constant is the term without any variables attached to it. So the constant is 4. As the name implies, the constant doesn't change no matter what x changes to. In contrast, the 5x^2 term does change as x changes.
The degree is the largest exponent, so in this case it would be 2. After you get the polynomial into standard form, it's the first exponent on the left.
As mentioned earlier, each term is separated by a plus or a minus. So we have three terms here. We consider this a trinomial since "tri" means "three". More specifically, this is a quadratic trinomial. Any quadratic will have the largest exponent being 2.
5j+16−12(−9j−4)=12j show steps
Answer: j = - 64 / 101
Step-by-step explanation:
5
A veterinarian divided 3/4 of a bottle of medicine equally among some sick cats. She gave each cat 1/4 of a bottle of medicine. How many sick cats were there
Answer:
3 sick cats
Step-by-step explanation:
1/4 times x(number of cats) = 3/4
You can say that a=a by using the ___ property
Answer:
commutative property
Step-by-step explanation:
happy to help ya :)
RSTU is a kite m
A. 120
B. 60
C. 80
D. 140
Answer:
B. 60
Step-by-step explanation:
a quadrilateral always adds up to 360°. so you add up all angles then subtract your sum from 360. 140+80=220, now add angle U which is a congruent angle to angle s so 220+80=300. now 360-300=60
Look at the image i took a screenshot
Answer:
10 miles
Step-by-step explanation:
10 miles
Step-by-step explanation:
Since the distance on the map is 4 inches, and the scale is 1in=2.5 mi, you multiply 2.5 by 4 which gets you your answer of 10 miles.
What is the equation of the line that passes through the point (-6, -6) and
has a slope of 2/3
Answer:
y=2/3x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=2/3(x-(-6))
y+6=2/3(x+6)
y=2/3x+12/3-6
y=2/3x+4-6
y=2/3x-2
Find the slope of the line below.
Answer:
slope = -3
hope this helps :)
Answer:
-9/3 = simplify it is -3
Step-by-step explanation:
go to the dot and go up 9 and to the left 3 and put the rise over the run like this -9/3 and if you simplify it it will be -3 very ez
have a nice day.
ANYONE KNOW?!!!???this
Answer:
7
Step-by-step explanation:
Cuz 11 - 7 = 4
if you can answer this riddle then I will buy you a fiddle...... sorry I promise I won't be a rhymester when I grow up. ANYWAYS i have a picture below.
Answer:
I say its 5
Step-by-step explanation:
I guessed so who knows besides you.
What is the least common multiple of 4 and 10?
Answer:
Step-by-step explanation:
20
Least common multiple (LCM) of 4 and 10 is 20.
Answer:
20
Step-by-step explanation:
What are the two ways that we discussed in class that can be used to determine if two expressions are equivalent?
What is the equation of the line that passes through the point (−7,−1) and has a slope of 11?
Answer:
y = 11x + 76Step-by-step explanation:
The equation of a line with a slope of "a" and containing a given point (x₀, y₀) is:
y - y₀ = a(x - x₀)
a = 11, x₀ = -7, y₀ = -1
So:
y - (-1) = 11(x - (-7))
y = 11x + 77 - 1
y = 11x + 76
Solve each system using substitution. Check your answer
x+3=y
3x+4y=7
Answer:
x = -5/7
y = 16/7
Step-by-step explanation:
3x + 4y = 7
3x + 4(x+3) = 7
3x + 4(x) + 4(3) = 7
3x + 4x + 12 = 7
7x + 12 = 7
7x + 12 - 12 = 7 - 12
7x = -5
7x ÷ 7 = -5 ÷ 7
x = -5/7
---------------------------------------
x + 3 = y
(-5/7) + 3 = y
16/7 = y
-----------------------------------------
3x + 4y = 7
3(-5/7) + 4(16/7) = 7
-15/7 + 64/7 = 7
7 = 7
The required value of the x and y by substitution method is -5/7 and 16/7 respectively.
Given,
System of equation
x+3=y
3x+4y=7
To solve using the substitution method.
The equation is the values of two functions that are equal.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)
from equation 1 substitute y in equation 2
3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7
Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
a
A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places.
28.73%
b. 39.68%
C. 40.32%
d. 45.97%
Answer:
c. 40.32%
Step-by-step explanation:
Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)
Answer:
Ali ran 25.13 m more than bily
Step-by-step explanation:
From the diagram, we can see that bully runs with the inner track line while Ali runs with the outer track line.
Thus;
Diameter of inner semi circle = 20 m
Diameter of outer semi circle = 20 + 4 + 4 = 28 m
Perimeter of inner semi circle = πD/2 = 10π
Perimeter of outer semi circle = πD/2 = 14π
Now, perimeter of Billy = 80 + 80 + 10π + 10π = 222.83 m
Perimeter of Ali = 80 + 80 + 14π + 14π = 247.96 m
Thus, in one lap, difference in distance between Ali and billy = 247.96 - 222.83 = 25.13 m
any help pls brainless
Answer:
the answers will be :
since 650 gallons fill in 1 hr 1gallon = 1/650 h so, 3185gal = 1/650 * 3185 = 4.9 h
Which point is on the graph of f(x)=2x5^x
SOMEONE HELP MEEEEEE
Answer:
144
Step-by-step explanation:
