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.
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
Solve for w: 3(w+2) = 6 + 3w
Answer:
0
Step-by-step explanation:
you open bracket you get 3w+6=6+3w you collect like terms
you get 3w-3w=6-6
answer o=o which is 0
What is the surface area of the figure?
4 cm
3 cm
5 cm
1.5 cm
8 cm
o
A. 12 cm2
B. 24 cm
O
C. 28 cm2
O
D. 42 cm2
Answer:
It should be 24 cm^2
Step-by-step explanation:
there are 3 shape. 2 rectangles and a triangle
to find the area for the rectangle is length x width
to find the area of a triangle its 1/2 x base x height
the small rectangle
4*1.5=6
the bigger rectangle
3*4=12
the triangle
1/2*4*3
1/2*12=6
Add them all up and you get 24
Need Help ASAP will give brainliest!!!
Answer:
216 ft²
Step-by-step explanation:
For this question, first find the area of the outsides of the square walls.
Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².
A = 6²
A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.
36 ×4 = 144.
To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.
A = 1/2(6 ·6)
A = 1/2 (36)
A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:
18 × 4 = 72.
Add the two areas from the walls and the ceiling:
144 + 72 = 216 ft²
Answer:
Ok, so i got 216
Step-by-step explanation:
mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.
determine the value of x in the diagram with explanation plz
Solve for x pls hurry !
Answer:
x = 7
Step-by-step explanation:
7x + 68 = 2x + 103
5x = 35
x = 7
I only need to know is it 360 or 180?
Answer:
So we know that all angles add up to 360. We first subtract it by 81
Now we have 279 as an answer. But since 2w + 81 cant be 360 because it doesn't add up because you have to spaces in between them. It adds up to 180 not 360
From your question its 180A.nswer:
The answer is 180.
Step-by-step explanation:
Mark me brainiiest✌✌
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.
Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?
Answer:
The answer is explained below
Step-by-step explanation:
This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.
Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes
Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes
All together, they caught 25 fish
Therefore it can be represented by the equation:
x + x + y + 3y = 25
2x + 4y = 25
2x = 25 - 4y
x = (25 - 4y)/2
The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
Express the series using sigma notation. 6 + 9 + 12 + 15.
15
Σ 40
n=6
explanation; add all the numbers to get 40
6 is the first number and 15 is the last number
Answer: D on edg
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
You start at (7, 0). You move up 9 units. Where do you end?
Answer:
(7, 9)
Step-by-step explanation:
Answer:
Your answer should be 7, 9
Help ! Help ! Help ! Fast
Answer:
The answer iis d
Step-by-step explanation:
Sophia wants to find out whether people like a new airport .she surveyed 20 people who work at the airport one morning in March to find their opinion of the airport . Write down two ways Sophia could improve her data collection method.
Answer:
By asking a larger quantity of people.
Changing the time/date of when she went and asked the questions
Answer:
by asking more people because then she can get a more diverse answer
Step-by-step explanation:
Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
PLEASE ANSWER ASAPPP
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answer:
1, 2, 3, 4
Step-by-step explanation:
1) works 60y+(-60y)=0
2) works(-60y)+60y=0
3)works (-35x)+35x=0
4) works 35x+(-35x)=0
5) doesn't work (-35x)+100x doesn't equal 0
Answer:
1,2,3,4
Step-by-step explanation:
Yep another question... what my teacher never teach me this
Answer:
its b.
Step-by-step explanation:
what is the vertex of y=1/2(x+4)^2+1
Find the Surface Area of this triangular prism.
Answer:
408 squared units
Solve the inequality, then identify the graph of the
solution
-3x-3<_6
Answer:
First Part is C
The second part is 0,2,4
Step-by-step explanation:
Edge said so
The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is [tex]-3x-3\leq 6[/tex].
The graph below shows the inequality of the expression.
The solution of the expression is
[tex]-3x-3\leq 6[/tex]
⇒ [tex]-3x\leq 6+3[/tex]
⇒ [tex]-3x\leq 9[/tex]
Divide both sides by -3. Then the inequality will also get changed.
⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]
⇒ [tex]x\geq -3[/tex]
Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
Learn more about inequalities here
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Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find the monthly change to his account.
Answer:
-48 ÷ 12
Step-by-step explanation:
account balance changed over a year = -$48
In a year, there are 12 months. Above statement can also be written as
account balance changed in 12 months = -$48
we have to find monthly change, so we divide LHS and RHS by 12
account balance changed in 12 /12 months = -$48/12
Thus, account balance changed in 1 months = -$48/12
which is represented option 4 i.e -48 ÷ 12
If two-thirds of a number is five-thirds more than the number, what is the number?
What is the value of [-12]?
-13
-12
12
13
Answer:
- 12 is the answer i think
all addition must be simplified before any subtraction
Answer:
True
Step-by-step explanation:
Can someone please answer this?
Answer: it is a parallelogram
Step-by-step explanation:
the coordinates form a parallelogram as you can see on the grid.
the shapes edges are joined together to form a parallelogram
there you go
What is the surface area of the prism, in square centimeters?
Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
Learn more about Area:
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does anyone know this one?
Answer:
20x
Step-by-step explanation:
Step-by-step explanation:
The ? is 4 * 5x which is 20x.
Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 16.7% B. 14.3% C. 30.0% D. 85.7%
Answer:
D. 85.7%
Step-by-step explanation:
its figuring out the percentage decrease
so you would go
35-5= 30
30/35 x 100 = 85.7
Answer:
Step-by-step explanation:
Discount = 35 - 5 = 30
Percentage of discount = (30/35) * 100
= 85.7 %