the answer would be 12 and 8
- Find the value of x for which ABCD must be a parallelogram.
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Answer:
x= 5
Step-by-step explanation:
Sides BC and AD will be parallel when the two marked angles have the same measure:
5x -3 = 14x -48
45 = 9x . . . . . . . . . add 48-5x
5 = x . . . . . . divide by 9
Find the measure of each missing angle.
Answer:
m< 3 = 180 - 93
m< 3 = 87 degrees
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
m< 2 is vertically opposite to the 49 degree angle given
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
What are vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
We can determine angle 3 as;
m< 3 = 180 - 93
m< 3 = 87 degrees
Also,
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
Learn more about vertically opposite angles;
https://brainly.com/question/18045519
#SPJ2
what is the volume of the rectangular prism?
Answer:
3[tex]\frac{3}{4}[/tex] cm³Step-by-step explanation:
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?
Answer:
I wnat to say its 19
Step-by-step explanation:
triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle
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Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
Additional comment
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
Find the Missing side length for #8
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values
[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )
21x = 420 ( divide both sides by 21 )
x = 20 → A
y=4x + 1 what is the value of x=5 ?
Answer:
21
Step-by-step explanation:
Y=4x+1
y=4(5)+1
substitute and solve
Answer
21
Step-by-step explanation:
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. a. How do you think Jane's friend arrived at this amount?
Answer:
The discount is $8
Step-by-step explanation:
Step one
Given data
Jane paid $40 for an item after she received a 20% discount.
Required
The initial cost of the item
Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows
Let the initial cost be x
so
20% of 40
20/100*40
=0.2*40= $8
Therefore the discount is $8
hence the original price is
discount+ discounted sale(amount paid)
=8+40
=$48
SOMEONE PLEASEEE HELP (ILL GIVE BRAINLIST)
Answer:
the second one or B
$0.15+$40.00=$58.00
it is this because the number of mins is .15 cent each min
How do you write equations for horizontal and vertical lines?
Answer:
y=_
x=_
Step-by-step explanation
horizontal for y=_
vertical for x=_
SOMEONE PLEASE HELP IF YK GEOMETRYYY IVE ASKED THIS QUESTION 3 TIMES NOWW SO PLEASEEE HELP MEEEE
Answer: what is your question
Step-by-step explanation:
When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?
Answer:
You are finding the intersection point of the system of linear equations.
Step-by-step explanation:
You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.
Nyanna solved the equation
8(x – 3) + 7 = 2x(4 – 17) incorrectly.
Find the error in her solution. Use the sketch tool and
explain your reasoning.
Answer:
1/2
Step-by-step explanation:
Or, 8(x-3)+7= 2x(4-17)
Or, 8x-24+7=2x(-13)
Or, 8x-17= -26x
Or, 34x=17
x=1/2
Can you please help
This is due today
I need the equation and answer
Equation/the way to do it :
Answer:
Factor as the product of two binomials
36+12x+x^2
Answer:(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Khan said so:
(6+x) (6-x)
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
Would the answer be 8?
Answer:
Step-by-step explanation:
yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8
how do i find a slope?
Answer:
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Answer:
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run).
Step-by-step explanation:
What is the solution to this inequality?
-6x + 5 > -1
A: x > -1
B: X 1
D: X < -1
Step-by-step explanation:
-6x + 5 > -1
-6x > -6 (subtract 5 on both sides)
x < 1 (divide -6 on both sides, flip the sign)
Hence the answer is x < 1.
Answer:
b i hope
Step-by-step explanation:
Pls helppp and thank you
Answer:
∠ 2 = 60°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles fro 180° for ∠ 2, that is
∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Can I get some help with this is the Last question
Answer:
x = 11
Step-by-step explanation:
Here, we want to get the value of x
Let’s start by looking at the point U
Now, we can see angles on a straight line at that point
Mathematically, angles on a straight line are supplementary
What this mean is that they add up to 180
Now, the value of the angle that falls into the triangle on that straight line will be;
180-(11x + 12)
Now, we have all the angles of the triangle
Mathematically, the sum of all is 180 as the a sum of the angles of a triangle is 180
5x + 10 + 58 + 180-(11x+2 )= 180
5x + 10 + 58 -11x-2 = 0
-6x+ 66 = 0
6x = 66
x = 66/6
x = 11
can someone help please
What is the simplified expression in the box by combing like terms and removing zero pairs?
-4 ( 2x+ 4) + 5
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Answer:
-8x -11
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine the constant terms.
-4(2x +4) +5
= -8x -16 +5
= -8x -11
[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]
[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]
[tex]\sf \longmapsto−8x+−16+5[/tex]
[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]
[tex]\sf \longmapsto−8x+−11[/tex]
[tex]\sf \longmapsto - 8x - 11[/tex]
Solve for x:
2x + y = -2
4x + y = -8
Answer:
x = -3
Step-by-step explanation:
2x + y = -2
4x + y = -8
2x + y = - 2
y = -2x - 2
4x + y = - 8
y = -4x - 8
y = -2x - 2
y = -4x - 8
-2x - 2 = -4x - 8
4x - 2x = 2 - 8
2x = -6
2x/2 = -6/2
x = -3
To check just use da graph ;w;
The x is -3
Answer:
Step-by-step explanation:
x= −1 −y/2
x= 4 −8−y/4
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
HELP!!
ASAP
Worth 10 points
Answer:
integers
Step-by-step explanation:
they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers
on a certain day the temperature at midday was 14°c.By midnight the temperature had fallen by 17°c what was the temperature at midnight
Answer:
-3c
Step-by-step explanation:
Answer:
-3c
Step-by-step explanation:
according to my calculations this is right
You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?
Answer:
13 reamsStep-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
Hence you will need about 13 reams for all the packets