Answer:
In ΔHKJ and ΔHIJ
HK=IJ=√17
HI=KJ=√13
HJ=HJ [Common}
ΔHKJ ≅ ΔHIJ [SSS]
Now consider ΔHKI AND ΔKJI
HK=IJ=√17
HI=KJ=√13
KI=KI [Common]
ΔHKI ≅ ΔKJI [SSS]
Now the converse of Parallelogram diagonal theorem also states that if diagonals of a Quadrilateral divides it into two congruent triangles then it is a parallelogram.
Hence the given Quadrilateral is a Parallelogram.
Step-by-step explanation:
Max's Moving Company charges a $75 loading fee to move your boxes. They also charge $2 per mile that they have to drive the van to move you boxes from one place to another.
Answer:
y=75+2x
Step-by-step explanation:
Given data
Loading fee=$75
Charge per mile= $2
Let the distance be x
and the total charge be y
Hence the expression for the total charge is
y=75+2x
-
f(x) = x2 – 3x + 9
g(x) = 52 – 9
Find: (gºf)(x)
Mr. Nakamura cuts 1 2 of a piece of construction paper. He uses 1 5 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/10th
Step-by-step explanation:
You multiply,
1/2 x 1/5 = 1/10
You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.
Lucy has 25600 in savings account that earns 2% interest per year the interest is not compounded how much would you have in 3 months
Answer:
25728
Step-by-step explanation:
Amount i would have in 3 months = simple interest + amount deposited
Simple interest = principal x time x interest rate
Principal = 25600
Interest rate = 2%
Time = 3/ 12 = 0.25
25,600 x 0.02 x 0.25 = 128
Total amount = 25,600 + 128 = 25728
Evaluate 3x2 + 4y when x=5 and y= 6
Answer:
54
Step-by-step explanation:
put 5 in for x and 6 in for y
Answer:99
Step-by-step explanation:
The vertices of a triangle are P(7,3), Q(3,1)and R(7,1). Enter the vertices of the image reflected in the x-axis
Answer:
P'(7,-3)
Q'(3,-1)
R'(7,-1)
Step-by-step explanation:
Switch signs of y-value when reflecting across x-axis.
Switch signs of x-value when reflecting across y-axis.
Hope this helped!
could 13 15 and 19 be a right triangle
Answer:
No b/c the hypotenuse is too short
Step-by-step explanation:
13² + 15² = 19²
169 + 225 = 361
394 ≠ 361
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
⅔n - 5 = ⅓n + 7
⅓n = 12
n = 36
the radius of circle A is 12units. the radius of circle B is 2 times the radius of circle A
what is the circumference of circle B? leave your awnser in terms of pi
Answer:
The answer is 48pi
Step-by-step explanation:
Circumference: C=2*pi*radius
The radius of Circle B is 2*12=24
Thus, the circumference of Circle B is: 2*pi*24=48pi
Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2
What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2
Answer:sorry its c
Step-by-step explanation:
The mean value of Keisha’s data is 1.333333.
What is Mean?The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),
We have the data,
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.
So, the mean value of data is
= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12
= 16/12
= 4/3
= 1.33333
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3) What is the value of angle x in the figure? Please show your math work step by step and don’t forget the unit.
Solve for x please :).
Find a single expression that represents the perimeter of the triangle.
A) x + 1
C) 3x − 1
B) 5x − 3
D) 9x − 3
Answer:
D
Step-by-step explanation:
Combine like terms
help plz!!!!!!!!!!!!!!!!!!!!!
60 centimeters every 2.5 years 30 centimeters every 15 months are these equivalent? I NEED IT MY TEST IS TOMORROW and I am just really stumped on this.
Answer:
Yes, they are equivalent
Step-by-step explanation:
15 months= 1.25 years
60/2.5= 24
30/1.25 = 24
Answer:
Step-by-step explanation:
Since 2.5 years equals 2.5(12)=30months you have
60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30
Use the Pythagorean theorem to find y.
Answer:
19.1
Step-by-step explanation:
13²+14²=365
√365≈ 19.1
Simplify the expression using properties of exponents. 25a^-5b^-8/5a^4b
Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]
Step-by-step explanation:
Here we need to use the property:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
We have the expression:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]
We can separate it in parts with the same base, then we can rewrite this as:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]
Using the first property we can rewrite this as:
[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]
what is the value of w
I think its 2..........
28
The members of a tennis team have a goal of raising at least $500 for new equipment. They have already raised $275.
The team members plan to raise more money by washing cars. They will charge $5 for each car they wash.
Let c represent the number of cars the team members will wash. Which of the following could be used to find the least
number of cars they must wash to reach their goal?
A 5c+275 > 500
B 5c + 275 > 500
c) 5c - 275 > 500
D 50 - 275 > 500
Answer:
A 5c+ 275 > 500
Step-by-step explanation:
Which equation represents an inverse variation?
Answer:
C. y=3/x
Step-by-step explanation:
hope this helps, sorry if I am wrong
Carlos mixed \dfrac4{15}\text{ L} 15 4 Lstart fraction, 4, divided by, 15, end fraction, start text, space, L, end text of chocolate syrup with \dfrac12\text{ L} 2 1 Lstart fraction, 1, divided by, 2, end fraction, start text, space, L, end text of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed
Question:
Carlos mixed [tex]\dfrac4{15}\text{ L}[/tex] of chocolate syrup with [tex]\dfrac12\text{ L}[/tex] of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed
Answer:
0.8 liters of liquid
Step-by-step explanation:
Given
[tex]Chocolate:= \dfrac4{15}\text{ L}[/tex]
[tex]Milk:= \dfrac12\text{ L}[/tex]
Required
An estimate of the total liquid
First, we get the actual total liquid.
[tex]Total = Chocolate + Milk[/tex]
[tex]Total =\dfrac4{15}\text{ L} + \dfrac12\text{ L}[/tex]
Take LCM
[tex]Total =\dfrac{8 + 15}{30}\text{ L}[/tex]
[tex]Total =\dfrac{23}{30}\text{ L}[/tex]
Express as decimal
[tex]Total ={0.7666}\text{ L}[/tex]
Estimate [Approximate]
[tex]Total ={0.8}\text{ L}[/tex]
Answer:
about 3/4
Step-by-step explanation:
start fraction, 3, divided by, 4, end fraction, start text, space, L, end text
Hint #11 / 5
We can make an estimate by picturing each fraction:
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.
Hint #22 / 5
To find the total amount of chocolate milk, we need to add \greenD{\dfrac{4}{15}}
15
4
start color #1fab54, start fraction, 4, divided by, 15, end fraction, end color #1fab54 and \purpleD{\dfrac12}
2
1
start color #7854ab, start fraction, 1, divided by, 2, end fraction, end color #7854ab.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.
Hint #33 / 5
We can compare our sum to benchmarks like {\dfrac12}
2
1
start fraction, 1, divided by, 2, end fraction and 111:
A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number line.
A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number lines.
Hint #44 / 5
Our sum is more than
2
1
start fraction, 1, divided by, 2, end fraction but less than 111.
The quadrtic expression x^2-2x-35 can be factored into (x+5)(x-7). Which ordered pairs represent the zeros of this expressionś related quadratic functions
Answer:
The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.
Step-by-step explanation:
Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.
If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:
[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]
Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.
[tex](x+5)=0\\x = -5[/tex]
[tex](x-7)=0\\x = 7[/tex]
Now, if we see the quadratic equation or the function it is written as,
[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]
Therefore, the value of y is 0.
Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).
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Is 3\11 and 17/6 proportional
Answer:
no
Step-by-step explanation:
The given ratios 3/11 and 17/6 are not proportional.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratios are 3/11 and 17/6.
In order to check the proportionality cross multiplication is done as follows,
3/11 and 17/6
Cross multiply the numerators and denominators as follows,
3 × 6 and 17 × 11
=> 18 and 187
Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.
Hence, the given ratios are not proportional.
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Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Answer:
y= 1/2x + 0.5
Step-by-step explanation:
plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P
I need help please is for tomorrow):
Answer:
Step-by-step explanation:
If a number gets increased by scale factor = k
Then k > 1
If the number gets decreased by a scale factor 'k'
Then 0 < k < 1
Let numbers gets increased by the scale factor = 2,
And decreased by the scale factor = [tex]\frac{1}{2}[/tex]
Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]
0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025
[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]
7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5
13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]
25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]
102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]
pls help i’ll mark as brainliest
Answer:
It is 39.3
Step-by-step explanation:
You find the circumference using the formula 2πr so you get 20π.
and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.
So 20π*225/360 is about 39.3
rename 11/5 as a mixed answer
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]
Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
How do I solve for X for number 1 and 2???
Answer:
16approx17.5approxStep-by-step explanation:
1.
by using Pythagoras law
h²=p²+b²
17²=6²+x²
x=√{17²-6²)=√253=15.9=16approx
2.
by using Pythagoras law
h²=p²+b²
x²=9²+15²
x=√306=17.49=17.5approx
Answer:
1 is 16. 2 is 17.49 or 17.5 or 17 depends on how you're rounding.
Step-by-step explanation: