Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
Step-by-step explanation:
find the value of xin the triangle shown below
Answer:
[tex]x=80^{\circ}[/tex]
Step-by-step explanation:
Solution 1:
Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:
[tex]x+50+50=180[/tex].
Solving, we get:
[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].
Solution 2:
The Law of Sines states:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.
We can use this to set up a proportion with the information given:
[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].
Solving, we get:
[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices
Answer:
[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
[tex]y=ab^x[/tex]
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582
Plzzz
Answer:
s=6.2
Step-by-step explanation:
-3.1s=-19.22
divide -19.22 by -3.1 to get s
s=6.2
draw a graph that models the relationship between time and Runners distance from the starting position use the data in the table to create the graph of the relationship be sure to include appropriate axis labels, intervals and units.
Answer:
Where is the graph?
Step-by-step explanation: How does anyone answer without a graph lol
heeeeeeeeeeelp pleaseeeeeeeeeeee
Answer
<2 = <4 = <6 = <8
All of those are 94 degrees
<1 = <3 = <5 + <7
All of those are 86 degrees
Hope this helps :D
?????????????????????????????
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
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Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
Simplify
(6x^2y^-4)^-3
Answer:
y^12/216x^6
Step-by-step explanation:
First Im distrubiting the powers.
((6^-3)[(x^2)^-3][(y^-4)^-3])
(216^-1)(x^-6)(y^12)
Move the negative exponents
y^12/216x^6
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices
0.2
0.4
0.35
0.45
The value of z = 0.2
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Sum of probabilities:"The sum of the probabilities of all outcomes must equal 1."
For given situation,
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
The probability of customers choosing Vanilla flavor = 0.45
The probability of customers choosing Chocolate flavor = 0.35
We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.
The sum of the probabilities of all outcomes must equal 1.
From given tree diagram,
⇒ 0.45 + 0.35 + z = 1
⇒ 0.8 + z = 1
⇒ z = 1 - 0.8
⇒ z = 0.2
Therefore, the correct answer is option (A)
Learn more about probability here:
brainly.com/question/12478394
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Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answer:
1,500
Step-by-step explanation:
On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
Learn more about area of rectangle on:
https://brainly.com/question/25292087
x2 - 2x + 4 = 0
How many solutions
Answer:
Step-by-step explanation:
x^2-(2+2)x+4=0
or, x^2-2x-2x+4=0
or, x(x-2)-2(x-2)=0
or, (x-2)(x-2)=0
Now,
Either, x-2=0
=2
Or, x-2=0
=2
pls help I literally don’t get this
9% ___ 0.4 will give brainliest
pls help :)
Answer:
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!
Step-by-step explanation:
HELP ASAP
6+ x - y + 10=
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)
Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?
Answer:
a. Interest = $300
b. Payment to principal = $86.40
c. New balance = $59,913.60
Step-by-step explanation:
The monthly payment has both an interest component and a principal repayment component.
The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.
As the interest is listed in annual terms, it needs to be made a monthly rate:
= 6%/12 months
= 0.5%
Interest = 60,000 * 0.5%
= $300
Payment to principal = 386.40 - 300
= $86.40
New balance = Amount due - payment to principal
= 60,000 - 86.40
= $59,913.60
please help me with this thankyou
Answer:
Area of the Rectangle is (length×breadth)
[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]
Third option is the right answer.
Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).
solve the system using elimination -2x + y = 11 2x + 3y= 17
Answer:
point form: (-2,7)
equation form: X = -2, Y = 7
Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?
There are 9 other CD's of a different genre.
I need help with solving for y
Answer:
y = [tex]-\frac{5}{3}[/tex] x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]
y = [tex]-\frac{5}{3}[/tex] x + 5
If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two
Answer:
the best possiable prediction is 2/6
Step-by-step explanation:
Solve for r.
r/-4 = 250
Answer: r= -1000
Step-by-step explanation:
Solve for r by simplifying both sides of the equation, then isolating the variable
Answer:
-1000
Step-by-step explanation:
-4 x 250 = -1000
-1000/-4= 250
PLZ MARK BRAINLIEST
have a great day! :)
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.
Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot
Answer:
15 feet
Step-by-step explanation:
Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot
Using similar triangles
= Let the height of the flagpole be represented as h.
h/35 =5/12
We cross Multiply
35 x 5 = 12h
12h = 175
h = 175/12
h = 14.583333333 feet
Approximately to the nearest foot is
h = 15 feet
Order the following numbers from least to greatest.
Put the least value on the left.
Answer:
-5/2, -2, 1.7
Step-by-step explanation:
5p+2=-43
I need help so bad please help