Answer:
6x - 21 = 105 (vertically Opposite angles)
6x = 105 + 21
6x= 126
x=126/6
x= 21°
That should be the fifth option
OR
Another Way of solving
(6x - 21) + 75 = 180 ( angles on a straight line)
6x -21 + 75 =180
6x + 54 = 180
6x =180 - 54
6x = 126
x=126/6
x=21°
[tex] \large \sf \star \: \green{Answer} \: \star[/tex]
x = 21 °
Step-by-step explanation:
Here,
Angle 75 ° and ( 6 x - 21 ) are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, 6 x - 21 ° + 75 ° = 180 °6 x - 21 ° + 75 ° = 180 °
6 x + 54° = 180 ° ...( Combine like terms)
subtract 54 ° from each sides
54° - 54° + 6 x = 180 ° - 54 °
6 x = 126°
x = 126 ° / 6 ...( Divide by 6 )
x = 21 °
which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
O S-4
OS-1
OS+3
Answer:
s-1
Step-by-step explanation:
1st side: s-4
2nd side: s-4+3, which is 's-1'
What is the MEDIAN or Q2 of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
Answer:
31
Step-by-step explanation:
Median = middle number in terms of value
Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest
24, 25, 29, 30, 31, 31, 32, 34, 34
We the just go to the middle number
The middle number would be 31
So we can conclude that the median is 31
The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet?
24/25 feet
25/24 feet
2/3 feet
3/2 feet
Answer:
2/3 feet.
Step-by-step explanation:
The formula for finding the area of a triangle is A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.
Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.
Finally, we simplify! 4/6 simplifies to 2/3.
A rectangular room has a perimeter of 70m what could be the length of the longest side of the room
Answer:
34
Step-by-step explanation:
70-2=68
side 1 & 3=1m each
68 divided by 2 = 34
side 2 & 4 = 34m each
For brainlest answer
Answer:
3..
Step-by-step explanation:
dont know the explanation sry i m beginner so .
2x^2 + 3x - 12 when x = 5 help pls
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^2 + 3x - 12}[/tex]
[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]
[tex]\mathsf{5^2}[/tex]
[tex]\mathsf{= 5 \times 5}[/tex]
[tex]\mathsf{\bf = 25}[/tex]
[tex]\mathsf{2(25) + 3(5) - 12}[/tex]
[tex]\mathsf{2(25)}[/tex]
[tex]\mathsf{= \bf 50}[/tex]
[tex]\mathsf{3(5)}[/tex]
[tex]\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 50 + 15 - 12}[/tex]
[tex]\mathsf{50 + 15}[/tex]
[tex]\mathsf{= \bf 65}[/tex]
65 - 12
[tex]\mathsf{= \bf 53}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer.
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Answer:
2
Step-by-step explanation:
We can solve for y to find the slope of the given line.
x +2y = 2
2y = -x +2 . . . . . subtract x
y = -1/2x +1 . . . . divide by the coefficient of y
The slope is the x-coefficient, -1/2.
Any perpendicular line will have a slope that is the opposite reciprocal of this:
-1/(-1/2) = 2
A perpendicular line will have a slope of 2.
1/2n+3=6 what is the solution to this equation
Answer:
n=6
Step-by-step explanation:
1/2 n + 3 = 6
Subtract 3 from each side
1/2 n +3-3=6-3
1/2n = 3
Multiply each side by 2
1/2 n * 2 = 3*2
n = 6
Given that,
1/2n + 3 = 6
Now we can subtract 3 from each side,
→ 1/2 n +3-3 = 6-3
→ 1/2n = 3
Now we can multiply each side by 2,
→ 1/2 n × 2 = 3 × 2
→ n = 6
Hence, 6 is the correct answer.
The base of a triangle is 9cm correct to the nearest cm.
The area of this triangle is 40 cm2 correct to the nearest 5 cm?.
Calculate the upper bound for the perpendicular height of this triangle.
Answer:
can you show the picture plz
GCF of 9x^2y^2 and 5x^2y^3
Answer:
x^2y^2.
Step-by-step explanation:
1. Decide whether the statement below is true or false. Then fully explain why. The triangle below can b used to help with your explanation if needed.
"The sine of any acute angle is equal to the cosine of its complementary angle."[help me plzz!!]
==================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(alpha) = MN/NP
sin(alpha) = y/z
---------
cos(angle) = adjacent/hypotenuse
cos(beta) = MN/NP
cos(beta) = y/z
----------
Both sin(alpha) and cos(beta) are equal to y/z, so that means sin(alpha) = cos(beta). This is true because alpha+beta = 90, ie the angles are complementary.
Similarly, you should find that sin(beta) and cos(alpha) are both equal to x/z, which is further proof that the statement is true.
ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7
Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
PLEASE HELP ME I WILL MARK TOU JT YOU HELP ME!!!
Given:
The figure of a construction.
To find:
The correct option that represents the given construction.
Solution:
In the given figure, the given angle is angle CAB.
The steps for the given figure are:
1. Draw a ray PQ.
2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.
3. Set the compass of the length BA.
4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.
5. Draw a ray PR.
These are the steps of construction to copy an angle.
Therefore, the correct option is A.
Will Mark Brainlest Help pls
Answer:
13
HOPE THIS HELPS YOU......
1;3;5;7…(determine the value of the 19th term of the sequence)
Answer:
37
Step-by-step explanation:
fistly find how much different
3-1=2 5-3=2 7-5=2
so for the next and next value just plus two until the 19th then you will get 37
=============================================================
Explanation:
a = 1 is the first term
d = 2 is the common difference, since we add 2 to each term to get the next term.
The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1
The last step is to plug in n = 19 and you should get 2(19)-1 = 37
f(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]
Évaluate/Combine like terms.
[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]
Alternative
[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]
Answer
(f+g)(x) = 2x²-2x-2(f+g)(x) = 2(x²-x-1)Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
Use the listing method to write the following set \ 1,2,3\; [0, 1, 2, 3] O (1, 2)
)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.
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Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
Answer:
B
Step-by-step explanation:
Hope you have a nice day! :o)
Solve for X.
A. 10.96
B. 4.88
C. 0.04
D. 5.34
Answer:
4.88
Step-by-step explanation:
That may be the question
Can somone help me solve this
Answer:
solid shade above
Step-by-step explanation:
graph line same way you would if it was an equal sign
all the y's that are greater are above the line
its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions
can someone help me solve this pls ? solve |x| + 7 < 4
Answer:
no solution
Step-by-step explanation:
|x| + 7 < 4
Subtract 7 from each side
|x| + 7-7 < 4-7
|x| < -3
But an absolute value must be greater than or equal to zero
There is no solution
Answer: No solutions
Let's solve the inequality step-by-step
[tex]|x|+7<4[/tex]
First subtract 7 from both sides
[tex]|x|+7-7<4-7\\|x|<-3[/tex]
Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.
Choose all the points that would be acceptable points to choose to test for shading for −3(m+7)≥−24
Answer:
m≤1
Step-by-step explanation:
The given inequality is :
−3(m+7)≥−24
Dividing both sides by -3.
(m+7) ≤ 8
Subtract 7 from both sides,
(m+7)-7 ≤ 8-7
m≤1
Hence, this is the required solution.
3.
June has 248 oranges. She sells of these oranges. How many oranges did June sell?
Answer.
Answer:
93. Divide 248 by 8. One eighth of 248 = 31.
June sold 3/8 of the 248 oranges.
If 1/8 = 31 and June sold 3/8 of the oranges.
Multiply 3 × 31. Therefore June sold 93 oranges.
Step-by-step explanation:
Answer:
93 oranges
Step-by-step explanation:
3/8 of 248
[tex]\frac{y}{248} :\frac{\frac{3}{8} }{1}[/tex]
y × 1 = 248 × 3/8
y = 93
I need help plzzz
How can you construct the perpendicular bisector of segment RS by folding a piece of paper
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Answer:
(c) fold it so R lies on top of S
Step-by-step explanation:
The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.
Part
The number 3.14 is a rounded value of the mathematical quantity . If you replace 3.14 with 1, what is the exact formula for the circumference in
terms of the diameter, d, and in terms of the radius, r?
B IV x x
Font Sizes
А
E1 E2
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I need help
Answer:
C = 2(3.14)r
C = (3.14)d
Step-by-step explanation:
Circumference in terms of radius:
[tex]c \: = 2\pi \: r[/tex]
So replacing pi with 3.14 you would get 2(3.14)r
Circumference in terms of diameter:
[tex]c = d\pi[/tex]
So replacing pi with 3.14 you would get d(3.14)
If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
To know more about angle here
https://brainly.com/question/4316040
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Consider the following equation. -2x + 6 =[-2/3] + 5
Answer:
that's my answer
hope it helps
kelly bought two dozen apples she found 1/3 of them were rotten how manu apples were rotten
the answer is 8 apples were rotten
Answer:
8 apples are rotten.
Step-by-step explanation:
2*12=24 . There are 12 apples in a dozen.
24/3=8
Plz help me solve this algebra
Answer:
Step-by-step explanation:
[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]