Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.
What is a transvarsal line?A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.
We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.
∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.
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What are the length and width of the frame?
{2l+2w=62}
1-2w=1
I don't know the answer its not in my syllabus nor I was thought this one
14 less than twice a number is equal to 4 times the number decreased by 38
Answer:
14-2x=4*2x-38
Step-by-step explanation:
Plz help thank you it’s one question!!!
Answer:
96
Step-by-step explanation:
Which is the correct way to evaluate the expression 48−(29−17)?
Answer:
37
Step-by-step explanation:
Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .
Solution :
We have to prove that [tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex] (De-Morgan's law)
Let [tex]$x \in \bar{A} \cap \bar{B}, $[/tex] then [tex]$x \in \bar{A}$[/tex] and [tex]$x \in \bar{B} $[/tex]
and so [tex]$x \notin \bar{A}$[/tex] and [tex]$x \notin \bar{B} $[/tex].
Thus, [tex]$x \notin A \cup B$[/tex] and so [tex]$x \in \overline{A \cup B}$[/tex]
Hence, [tex]$\bar{A} \cap \bar{B} \subset \overline{A \cup B}$[/tex] .........(1)
Now we will show that [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex]
Let [tex]$x \in \overline{A \cup B}$[/tex] ⇒ [tex]$x \notin A \cup B$[/tex]
Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.
[tex]$x \in \overline{A}$[/tex] and [tex]$x \in \overline{B}$[/tex]
Therefore, [tex]$x \in \overline{A} \cap \overline{B}$[/tex] and we have [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex] .............(2)
From (1) and (2),
[tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex]
Hence proved.
Which expression is equivalent to 2(8n)^4
Answer:
2* 8n* 8n* 8n*8n
Step-by-step explanation:
Break it down 2(8n)^4 because 4 is the exponent you will multiply 8n four times so it will be 8n*8n*8n*8n so add the 2 to it and it will be 2*8n*8n*8n*8n. Hope this help :)
The expression 2(8n)⁴ is equivalent to 2¹³n⁴ or 8192n⁴ after simplifying.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm = 2(8n)^4[/tex]
[tex]\rm 2\times 8^4\times n^4\\\\\rm 2\times (2^3)^4\times n^4\\\\\rm 2\times 2^1^2\times n^4\\\\\rm 2^1^3\times n^4\\\\\\\rm 2^1^3 n^4\\\\or\\\\8192n^4[/tex]
Thus, the expression 2(8n)⁴ is equivalent to 2¹³n⁴ or 8192n⁴ after simplifying.
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A box of cereal contains 10 cups. If each bowl holds 1 1/4 cups of cereal, how many bowls of cereal will you get out of the box?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: 10 / 1.25 = 8
In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius
Of the sprinklers is 5ft If the area in the larger semicircular area is the shape of the entire lawn, how much of the lawn will not be watered?
Answer:
The answer is below
Step-by-step explanation:
The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.
Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.
Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²
Pls help me answer the products and factors
thx
Answer:
products - -3x and 6x^2
factors - 8 and 2x
Step-by-step explanation:
Answer:
-8x would go in the box above -16x and -8 would go in the other box
There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 3.15 ounces per second.
Answer:
It will take 3.65 seconds at the rate it's being poured.
Step-by-step explanation:
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable
A circle has a radius of 8 cm, what is the diameter?
Answer: 16cm
Step-by-step explanation:
The radius is half of the diameter so you would have to double the radius.
Answer:
16cm
Step-by-step explanation:
The diameter of a circle is double the radius, so if a circle has a radius of 8cm, it has a diameter of 16cm because that's double 8cm.
Can somebody help me please
Answer:
182
Step-by-step explanation:
Add them all which is 178 and subtract that number from 360.
370-178=182
Jaclyn paid $620 to stay at a hotel. She paid $124 per
night for each of two rooms. How many nights, n, did
Jaclyn stay at the hotel?
Consider the expression.
53 · 56
In expanded form: (5 · 5 · 5) · (5 · 5 · 5 · 5 · 5 · 5)
What does the expression simplify to?
53
58
59
518
Answer:
5^9 : C
Step-by-step explanation:
I got the answer righttttt !!
Answer:
C
Step-by-step explanation:
i got it right
7 3/8 divided by 6 as a fraction
Answer:
[tex] \frac{73}{48} [/tex]
Step-by-step explanation:
.......
Find x
25
7
х
I need help
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is [tex]a^{2} + b^{2} =c^{2}[/tex], you already have the [tex]c^{2}[/tex] and another side which can be [tex]a^{2}[/tex] or [tex]b^{2}[/tex].
Because you have the hypotenuse and a side , your equation looks like this now: [tex]7^{2} +b^{2} = 25^{2}[/tex]
and when you solve for be you just subtract [tex]25^{2} -7^{2}[/tex] to get 24.
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
HELP ME PLEASE
what goes in the box?
Answer:
Answer :
8/-11
y=8 x=-11
Answer:
16 - 8 / 9 - 20
Step-by-step explanation:
y2 = 16 y1 = 8
x2 = 9 x1 = 20
your answer is going to be 8/-11
Someone plzzz helppp meee
Answer:
The answer is 40 degrees
HELP ME FIND THE GCF
What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
5x - 20/ x^2-2x-8
Answer: Look below =3
The greatest common factor of numerator and denominator is (x-4).
A marker costs $0.99. A pad of paper costs $1.25 more than the marker, which is a more reasonable estimate for the total cost of both items: $2 or $3?
Answer:
$3
Step-by-step explanation:
Because you have to also think about tax of the item. Plus add them both up and it costs $2.24 without tax. Which means it's already above $2.
Helppp plz I will mark brainliestttt
Step-by-step explanation:
If x=20 3x/5=12
Then if y=30 3y/5=18
It shows that A'B'C' smaller than ABC
Answer:
The correct statement is D
Step-by-step explanation:
Triangle A'B'C' is a diluted version of triangle ABC, so it would be smaller than triangle ABC since its x-value and y-value are being multiplied by a number less than 1.
Can anyone help me with this question.
Answer:
y=-5x+9
Step-by-step explanation:
y=-5x+b
y=4 x=1
4=-5(1)+b
9=b
pls help help meeeeeeeeeeee
Step-by-step explanation:
[tex] 200 = \pi{r}^{2} \\ {r}^{2} = \frac{200}{\pi} = 63.66 \\ r = 7.97 = 8[/tex]
The solution to 5 - 3x > 35 is either x > -10 or -10 > x. Which soultion is correct? Explain how you know.
Answer:
x < - 10
Step-by-step explanation:
5 - 3x > 35
-3x > 35 - 5
-3x > 30
Divide both sides by 3
-x > 10
Divide both sides by - 1
x < - 10
The inequality sign will change due to the negative sign.
Pls help, with explanation if possible
king jon un
Step-by-step explanation:
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!
Two angles are complementary, can they also be supplementary? Explain.
Answer:
Yes
Step-by-step explanation:
They can because the sum of two Angles is 180, and if they are both 90, they add up to 180, making them congruent. Hope this helps
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees.
Saying this you should probably infer that if 2 Angles are complementary, then they are 90°.
Meaning you would need 2 pairs of complementary angles to have a supplementary angle (180°).
Expand and simplify (x − 3)(2x + 1)(3x - 2)
Answer:
6[tex]x^{3}[/tex]- 19[tex]x^{2}[/tex]+[tex]x[/tex]+6
Step-by-step explanation:
Answer:
6x³ - 19x² + x + 6
Step-by-step explanation:
9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve
Answer:
Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.
-cjhunter.26