<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44
Answer:
X=4, y=5
Step-by-step explanation:
5x + 4y =40 equation 1
6x + 4y =44 equation 2
-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y
-5x - 4y=-40 modif equation 1
6x + 4y= 44 equation 2
x=4. Add above 2 equations
solve for y:
5x + 4y =40
5(4)+4y=40
20+4y =40
4y=20
y=5
check solution ;
6x+4y=44
6(4) + 4(5)=44
24 + 20=44
44=44
What is the cosine ratio of ∠Z?
Answer:
10 / 26
Step-by-step explanation:
cos <Z = adjacent / hypotenuse
= YZ / XZ
= 10 / 26
Answer:
Cos of an angle by definition of its ratio is side adjacent/hypotenuse. The side adjacent to angle Z cannot be the hypotenuse, so it has to be 10. he hypotenuse is 26. Therefore, cosZ= 10/26 = 5/13
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZz
Find the indicated measure. Assume that lines which appear to be diameters are diameters.
Answer:
The measure of the angle is 120 degrees
Step-by-step explanation:
Here, we want to find the measure of the angle
Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees
We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle
Thus, we have this as;
360 - (150 + 90)
= 360-240
= 120
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER
Answer:
d supplementary angle is s answer to me
Please help serious answers only
Answer:
[tex](-9.5,2.63)[/tex]
Step-by-step explanation:
In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.
Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.
Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,
[tex]a(x-k)^2+h[/tex]
(k, h) is the vertex of the parabola.
The quadratic equation in standard form,
[tex]2x^2+19x+42.5[/tex]
Group the quadratic and linear terms,
[tex](2x^2+19x)+42.5[/tex]
Factor out the coefficient of the quadratic term,
[tex]2(x^2+9.5x)+42.5[/tex]
Add a term to make the grouped part a perfect square trinomial, then balance the equation,
[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]
Simplify,
[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]
[tex]2(x+9.5)^2+2.625[/tex]
The vertex of the equation is the following,
[tex](-9.5,2.625)[/tex]
Rounded,
[tex](-9.5,2.63)[/tex]
A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot
Option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.
What is a rectangle?"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".
For the above situation,
The length of the rectangle be 'l'
The breadth of the rectangle be 'b'
Perimeter of the rectangle, P = 2(l+b)
Option A : 1 foot by 2 feet
Here, l = 1 feet and b = 2 feet
⇒ [tex]P=2(l+b)[/tex]
⇒ [tex]P=2(1+2)\\[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.
Option B : 1 foot by 5 feet
Here, l = 1 and b = 5 feet
⇒ [tex]P=2(1+5)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.
Option C : 2 feet by 1 foot
Here, l = 2 and b = 1 feet
⇒ [tex]P=2(2+1)[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.
Option D : 2 feet by 4 foot
Here, l = 2 and b = 4 feet
⇒ [tex]P=2(2+4)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.
Option E : 3 feet by 3 feet
Here, l = 3 and b = 3 feet
⇒ [tex]P=2(3+3)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.
Option F : 4 feet by 2 feet
Here, l = 4 and b = 2 feet
⇒ [tex]P=2(4+2)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.
Option G : 5 feet by 1 foot
Here, l = 5 and b = 1 feet
⇒ [tex]P=2(5+1)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.
Hence we can conclude that option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.
Learn more about the rectangle here
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please help me!!!! i’m so bad a mathhhh
Answer:
22x^2+21x+10
brainliest?
Step-by-step explanation:
Answer:
The 4the bubble
Step-by-step explanation:
It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10
enter the coordinates of the point on the unit circle at the given angle 180 degrees
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
Find out more information about unit circle here
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I would really like some help with this. If anyone is able to help me.
Answer:
are not
Step-by-step explanation:
it is clear I can explain in the comment section ... because I don not want you to lose time
Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y=-x+1
y=-2x+ 5
If your car gets 22 miles per gallon of gasoline, how far
could you drive if your car has 10 gallons of gas in it?
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):
Answer:
b² = 13.2
Step-by-step explanation:
5.8²+b²=14.4²
33.64+b²=207.36
-33.64 -33.65
b²= √173.71
b² = 13.1799089526
b² = 13.2
Can someone pls help me with: Ooh
Okay
(Baby Ruth, Baby Ruth)
They always say "Ooh, Baby Ruth" (haha)
How you get your eyes so baby blue? (Blue, blue)
(Get it, bro)
"All he does is clout chase" (mm-hmm)
Yeah, b!ch, it's my mf name (uh-oh)
News flash, you'll never be me (uh-huh)
Me and Claire are like Mike (yup)
Pippen (yup), 3 PEAT
Venmo me
Venmo me
Venmo me
B!ch, I said "Venmo me, Venmo me" (Venmo me)
I'm livin' in your head rent free, b!ch
Fug Noah Miller, tryna be me (get it sis)
I-I-I'm just a kid, b!ch, I'm only 15 (hey)
I said "Best friend, put me on that beat" (okay)
Now I'm here, put that chorus on repeat
Venmo me
Venmo me
Venmo me
If you say so then I'ma dance
Every time I throw it back, I take all you b!ches' mans (ahh)
I'ma pull up to the Hype House and Tony can catch these hands (hit that b!ch)
Did a little dance under the money tree
Don't forget the dance creds: yodelinghaley
That Yodel Girl, yeah, you know
Spittin' heat, need aloe
All you b!ches is slow and talking shii on the low
Body roll then I woah
Jahluver is emo
You got a problem with me? Then why don't you say so?
Okay, I don't know if you needed any of that
This was really embarrassing
Please never show...
Hey, guys, you forgot to invite me, again
Why didn't you guys invite me? Omg
You don't know what you just did
You could hurt... You decided... Find me...
Oh my god, you're gonna recruit...
You-you don't know what
You-you-you don't know f... ??
Answer:
Venmo mee
Step-by-step explanation:
One fourth of a square pizza is 9 slices solve the equation 1/4s =9 to find how many slices are in the pizza. PLZ help
Answer: There is a total of 36 slices of pizza.
7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777
Answer:
77777
is correct answers
Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...
Answer:
a) 0.3.
b) 1.117287138 to 9 dec. places.
d)3.
Step-by-step explanation:
a and d: the powers 1/3 and 0.333... is the cube root.
c: 0.5 = the square root.
b is found using a calculator
PLEASE HELP!!!!!!!!!!!
Please help! I will give Brainliest!
Who is correct?
Help me with this please!!!!!!
Answer:
4√6
Step-by-step explanation:
cot60➜4√2/t
➜1/√3=4√2/t
➜t=4√2√3
➜t=4√6
Answer:
[tex]2\sqrt{2}[/tex] = t
Step-by-step explanation:
Sin(30) = t / [tex]4\sqrt{2}[/tex]
Sin(30) * [tex]4\sqrt{2}[/tex] = t
[tex]2\sqrt{2}[/tex] = t
Hope this helps!
HIII can some one please HELP ME !!!!
Answer:95
Step-by-step explanation:
Rewrite in simplest terms: 7(-9a + 2a + 8) – 3a
Answer:
-63a+14a+56-3a
= -52a+56
Here we need to use algebraic properties to simplify an expression, we will get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]
The mathematical property we need to use is the distributive property.
[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]
So we start with the expression:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]
First, we use the distributive property in the first term so we get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]
Now we use the distributive property in the other way, we take "a" as a common factor:
[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]
Here we got the simplified expression.
If you want to learn more, you can read:
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a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!
we know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
A ramp measures------------------> 6 ft long
applying the Pythagorean theorem
c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
Answer:
6.08 or so
Step-by-step explanation:
The height is 1 foot, while the length is 6 feet.
You can use the Pythagorean Theorum to solve this, as you plug in the values.
The theorum states that A squared plus B squared = C squared, where A is the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)
So if we plug in the values:
1 squared plus 6 squared = C squared.
1 + 36 = 37
Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.
So usually we round to the hundredths place, so we can use 6.08.
Solve for t.
3t- 2 = -11
A. -12
B. -11
C. -9
D.-3
Answer:
T = -3
Step-by-step explanation:
No explanation needed ...
Solve to get the value of h