If two right triangles each have a 30° angle, then the
triangles must be
Answer:
Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.
It follows that both triangles have a 60∘ angle:
180∘−90∘−30∘=60∘.
So they have three angles in common.
The triangles are CONGRUENT as per the AAA rule of congruency.
simplify this problem
Answer:
-22 1/2
Step-by-step explanation:
-2 1/2 *s
Let s = 9
-2 1/2 (9)
Change to an improper fraction
-5/2 *9
-45/2
Change back to a mixed number
-22 1/2
The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply
A. Graph A
B. Graph B
C. Graph
D. Graph D
E.Graph E
Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
Given four graphs of different nature as options.
We are required to find a graph that is not a continuous variable.
What is continuity?In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.
Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.
When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.
Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
Learn more about continuity at
brainly.com/question/24637240
#SPJ2
Answer: Graph B and Graph C
Step-by-step explanation:
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab? Round your answer to the nearest mile.
Answer:
11.6 should be your answer!
Step-by-step explanation:
Im so sorry if its wrong!
Hope this helps!!
( > .< )
Answer:
34 miles
Step-by-step explanation:
3.50 + 1.65m <60
1.65m< 60-3.50
1.65m<56.5
1.65m/1.65< 56.5/1.65
m<34.24242424
m<34
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ2
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Hope you are doing well
Answer:
x=17
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
https://brainly.com/question/18741430
#SPJ2
Choose the correct algebraic expression: two plus the product of six and a number
A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)
The expression for the statement given can be written as 2 + 6n. The correct option is (B).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Suppose the required number be n.
Then, the expression for the statement can be written as follows,
Add 2 to the product of n and 6 to obtain,
2 + 6n
Hence, the required expression is given as 2 + 6n.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
solve for y please !
Answer:3
Step-by-step explanation:
Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,...
Answer:
7
Step-by-step explanation:
The sum of first 48 terms of the given series is 4848.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].
The given arithmetic sequence is 7,11,15,......
Here, a=7, d=11-7=4 and n=48
Now, S₄₈=48/2[2×7+(48-1)×4]
= 24(14+47×4)
= 24(14+188)
= 24×202
= 4848
Therefore, the sum of first 48 terms of the given series is 4848.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ3
I will give brainliest answer
Step-by-step explanation:
inner region
A=πr^2
A=π*6^2
A=π*36cm^2
A=113.09cm^2
shaded region(outer)
A=πr^2
A=π*9^2
A=π*81cm^2
A=254.46cm^2
Area of shaded region=254.46cm^2-113.09cm^2
=141.37cm^2
Mark brianliest if my answer suit your question
Radius of the outer circle = 9cm
Area of a circle = πr²
= π×9×9
= 254.34cm²
Radius of the inner circle = 6cm
Area of a circle = πr²
= π×6×6
=113.04cm²
Therefore, area of the shaded region = 254.34-113.04
=141.30cm²
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
HELP ASAP!
A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?
Step-by-step explanation:
The total income would be $650 million.
Please help me this is due in less than 45 minutes!
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5
find the answer to the following
k(−1)= ?
what is the value of x ?!
Answer:
4
Step-by-step explanation:
2x - 1 = 7
2x = 8
x = 4
Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
What are the steps to solve 1-3x=4-2x
Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x
Please help me with 3 more questions ill give good ratings please!
Answer:
(- 32, - 16 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )
Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions
Answer:
There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.
Step-by-step explanation:
We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.
If pa² + qa + r = 0 and p > 1.
Thus, D = q² - 4pr.
If D > 0, then the equation has 2 real solutions.
If D = 0, then the equation has 1 real solution.
If D < 0, then the equation has 0 real solutions.
We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:
p = 5
q = -6
r = 10
D = q² - 4pr
D = (-6)² - 4(5)(10)
D = 36 - 200
D = -164
D < 0
Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.
I hope this helps! Sorry if my English didn't really help with having a clearer explanation.
The shape has an area of 60 square inches. Find the value of x.
Answer:
5 inches
Step-by-step explanation:
A=bh
A=bx
60=12x
12x=60
x=5
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
Joshua's total monthly income is $2850. His rent is $750, his car payment is $350, his car insurance is $117, and his renters insurance is $58. How much money does Joshua have left after he pays his fixed expenses? Enter the answer as a whole number, such as: $500
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
O B. 210
O C. 3,060
O D. 5,040
Answer:
C
Step-by-step explanation:
What is the answer for 9+10x=9?
Answer:
x=0
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
9+10x=9
10x=9-9
10x=0
x=0
Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
