Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
Someone please help me ASAP!
Answer:
x + 1 y+1
Step-by-step explanation:
it translated 1 unit up the x axis and 1 unit y axis
Answer:
reflected across the y-axis and translated 1 to the right and 1 up
Step-by-step explanation:
A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).
Answer:
$45
Step-by-step explanation:
If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%. So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.
the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length
A school has 833 students. Of those students, 463 play a sport (A), 52 are in the band (B), and 21 do both(AB). (C) represents neither.
Answer:
Im sorry but it is kind of confusing
Step-by-step explanation:
Help!’!!!!!!!!! And thanksss
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
I need help or my math teacher will call my parents up about it and I will die
Answer:
113mm^2
Step-by-step explanation:
Firstly work out the area of the pink circle using πr^2, which is the area of a process.
So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.
Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.
72π - 36π = 36π
36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2
I will give BRAINLIEST to the correct answer
Find the measure of angle 5
Answer:
84
Step-by-step explanation:
1 is = 84 since its a vertical angle.
5= 84 since its the corresponding angle in this tranversal.
Hoped this helped,
JoeLouis2
If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?
Answer:
4:1
Step-by-step explanation:
We know 1/5 of the marbles are red.
There are 10 marbles.
1/5 is also 2/10, so:
2 of the 10 marbles are red.
To find the blue marbles, lets subtract the red marbles from the total marbles:
10-2=8
So 8 of the marbles are blue.
This is a ratio of 8 blue to 2 red marbles.
Or
4 blue to 1 red marbles.
This can be shown as:
4 : 1
Hope this helps!
Select the correct answer.
What is in simplest form?
A. 8√4
B. 17√2
C. 4√ 17
D. 2√17
What is the missing side length in the triangle?
between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60
Answer:
32, 43
Step-by-step explanation:
Your welcome! :)
Answer:
The answer is 45,60.
Step-by-step explanation:
We can use a square chart to answer this question.
I will zoom in to the particular ones we need.
[tex] {6}^{2} = 36[/tex]
[tex]{7}^{2} = 49[/tex]
[tex] {8}^{2} = 64[/tex]
7 is the square root of 49.
45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.
Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.
Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.
Simplify each of the following by rationalizing the denominator.
please do answer my doubt
Answer:
(47+21√5)/2
Step-by-step explanation:
Given the expression
7+3√5/7-3√5
= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)
= 49+21√5+21√5+9(5)/[7(7)-9(5)]
= 49+42√5+45/49-45
= 94+42√5/4
= 2(47+21√5)/4
=(47+21√5)/2
Hence the required expression is (47+21√5)/2
The number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day. The number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day. In how many days will these two warehouses contain the same number of boxes
Answer:
These two warehouses will contain the same number of boxes in 51 days.
Step-by-step explanation:
Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:
Warehouse A = 476 + 4X
Warehouse B = 986 - 6X
476 + 4 x 50 = 476 + 200 = 676
986 - 6 x 50 = 986 - 300 = 686
476 + 4 x 51 = 476 + 204 = 680
986 - 6 x 51 = 986 - 306 = 680
Therefore, these two warehouses will contain the same number of boxes in 51 days.
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
HELP! Which of the following statements would prove line l is parallel to line m?
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.Factor the common factor out of each expression: 30+6k+18k^5
What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?
[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{1}{2} + \frac{1}{3} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 2 and 3 is 6.
Now, multiply the L.C.M. with both numerator & denominator.
[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]
[tex]= \frac{3}{6} + \frac{2}{6} [/tex]
Now that the denominators are equal, we can add them.
[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Please help quadratic equation!! 20 points
Answer:
x=4,−2
Step-by-step explanation:
Because Step 1. Move all terms to one side.
{x}^{2}-2x-8=0
x
2
−2x−8=0
2 Factor {x}^{2}-2x-8x
2
−2x−8.
1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?
-4−4 and 22
Step 2. Rewrite the expression using the above.
(x-4)(x+2)
(x−4)(x+2)
and going to;
(x-4)(x+2)=0
(x−4)(x+2)=0
And Step 3. Solve for xx.
1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?
When x-4=0x−4=0 or x+2=0x+2=0
2 Solve each of the 2 equations above.
x=4,-2
x=4,−2
x=4,-2
Our Answer is:
x=4,−2
I Hope It's Helps
Answer:
2 and -4
tso numbers when added gives -2 and 8 incase it's not clear enough.
NEED HELP ASAP !!!! SOMEONE HELP ME
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
work out 2/7 divided 7/8
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
QUESTION 2
Simplify the following
a5×a7
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
HELP! Drag each value to the correct location on the equation. Not all values will be used.
The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.
Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.
Answer:
huh
Step-by-step explanation:
?
The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]
What is exponential function?An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.
Time period = x years
The number of archaeological sites discovered in a country in x years = S(x) = [tex]2(1.1)^{x}[/tex]
The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]
The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]
Learn more about exponential function here
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Find the equation with a line with slope 7
_
2 passing through the point (-2,9).
Answer:
y = 7/2 x+16
Step-by-step explanation:
The equation for a line is y = mx+b where m is the slope and b is the y intercept
y = 7/2 x+b
Substitute the point into the equation
9 = 7/2(-2)+b
9 = -7+b
9+7 = b
16 = b
y = 7/2 x+16
If 2 is subtracted from 3 times a number , the result is 25.Find the number?
Answer:
3x-2=25
x=9. .
Answer:
9
Step-by-step explanation:
When factored completely, which is a factor of 6x^3-12x^2-48x?
Answer: C
Step-by-step explanation:
The solution is Option A.
The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 6x³ - 12x² - 48x be equation (1)
On simplifying the equation , we get
Taking 6x as the common factor , we get
A = 6x ( x² - 2x - 8 )
On simplifying the equation , we get
A = 6x ( x + 2 ) ( x - 4 )
Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )
Hence , the equation is 6x ( x + 2 ) ( x - 4 )
To learn more about equations click :
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