Answer:
it's true
Step-by-step explanation:
The triangles made by diagonal parallelograms will be congruent so we can prove statements so will be True.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
As per the parallelogram drawn.
ΔABC ≅ ΔADC (By SAS postulute of congruency)
So we can make the statement that the two triangles made by the diagonal of a parallelogram will be congruent.
Hence "The triangles made by diagonal parallelograms will be congruent so we can prove statements so will be True".
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Suppose you deposited $10 into your savings account each month, as indicated in the table. Your account pays 4%, compounded monthly. How much will you have in your account at the end of 15 years? a. $2,908 c. $3,668 b. $2,461 d. $1,800 Please select the best answer from the choices provided
Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.
B.if a polygon is a rhombus, then it is a square.
C.if a polygon is a rhombus, then it is a parallelogram.
D.if a polygon has four congruent sides, then it is a square.
Answer:
Step-by-step explanation:
WriteTwo Equivalent Ratios For The Given Ratio 9/10
...?
How many pounds does 64 ounces weigh?
Answer:
4 lbs
Step-by-step explanation:
There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds. 64 ÷ 16 = 4 lbs
How many atoms of oxygen are in one formula unit of Ca(No3)2?
How to simplify and expression by combining like terms?
Fill in the blank: A concave polygon is ________ that _______ ...?
Rate of Change , you are given the dollar value of a product in 2004 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value (v) of the product in terms of the year
(Let t=0 represent 2000.)
2004 value= $156 with $4.50 increase per year
...?
Answer:
The linear equation is v = 4.5t +138
The product had value of $138 in 2000.
Step-by-step explanation:
In 2004, dollar value(v) = $156 and rate of change (m) = $4.50
The linear equation is in the form of y = mx + b, where "m" is slope or rate of change, b is the y-intercept.
We can rewrite the equation as v = m(t) + b.
Now let's find the value of b, when t = 4, m = 4.5, v = 156
156 = 4.5(4) + b
b = 156 - 4.5(4)
b = 156 - 18
b = 138
So, the linear equation is v = 4.5t +138
When t=0, the dollar value (v) = 4.5(0) + 138
v = $138
So, the product had value of $138 in 2000
Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?
a,x+ 5 = 11
b,x- 5 = 11
c,= 11
d,5x= 11
If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x)/g(x)
2x+3/x-2
2x-3/x+2
2x+3/x+2
2x-3/x-2
To find f(x)/g(x), we factor both f(x) and g(x), and then simplify by canceling common terms. The simplified result is 2x + 3 / x + 2.
To find the quotient of two functions, f(x) and g(x), we divide the first function by the second. In this case, we have f(x) = 2x² - x - 6 and g(x) = x² - 4. The process involves the following steps:
Write the division of the two functions: f(x)/g(x).Simplify the expressions, if possible, by factoring and reducing them.We start by factoring both f(x) and g(x):
f(x) = (2x + 3)(x - 2)
g(x) = (x + 2)(x - 2)
Now we divide f(x) by g(x):
f(x)/g(x) = ((2x + 3)(x - 2)) / ((x + 2)(x - 2))
Notice that the term (x - 2) is common in both the numerator and the denominator, so we can reduce the expression by canceling out the common term, resulting in:
f(x)/g(x) = (2x + 3) / (x + 2)
The correct result is the second option: 2x + 3 / x + 2.
Find the measure of
Am I able to evaluate sin(cos^1(7/11)) without a calculator? If yes, how? ...?
Yes, you can evaluate sin(cos^-1(7/11)) without a calculator. The result can be simplified to √(72/121).
Explanation:Yes, you can evaluate sin(cos-1(7/11)) without a calculator. Let's break it down step by step:
cos-1(7/11) represents the inverse cosine of 7/11. Inverse cosine is the angle whose cosine is equal to the given value. So, cos-1(7/11) is the angle whose cosine is 7/11.To evaluate sin(cos-1(7/11)), we need to find the sine of the angle we found in the previous step.Since we know that sin2(θ) + cos2(θ) = 1, we can use this relationship to find sin(θ) when we know cos(θ).Let's assume the angle we found in step 1 is θ. We know that cos(θ) = 7/11, so we can substitute this value into the equation sin2(θ) + (7/11)2 = 1 and solve for sin(θ).By solving the equation, we find that sin(θ) = √(1 - (7/11)2).Finally, we can simplify the expression sin(θ) = √(1 - (49/121)) or sin(θ) = √(72/121).Therefore, sin(cos-1(7/11)) can be evaluated as √(72/121).
Claire can run 100 meters in 17 seconds. what is her speed in meters per second?
what is the correct expansion of the binomial (x+y)^5
Answer: The correct expansion is,
[tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
Step-by-step explanation:
Since, by the binomial expansion,
[tex](p+q)^n=\sum_{r=0}^{n} ^nC_r (p)^{n-r}(q)^r[/tex]
Where,
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Here, p = x and q = y and n = 5,
By substituting values,
[tex](x+y)^5=\sum_{r=0}^{5} ^5C_r (x)^{n-r}(y)^r[/tex]
[tex] =^5C_0(x)^{5-0}(y)^0+^5C_1 (x)^{5-1}(y)^1+^5C_2 (x)^{5-2}(y)^2+^5C_3 (x)^{5-3}(y)^3+^5C_4 (x)^{5-4}(y)^4+^5C_5(x)^{5-5}(y)^{5}[/tex]
[tex]=1(x)^5(y)^0+\frac{5!}{4!(5-4)!}x^4y^1+\frac{5!}{3!(5-3)!}x^3y^2+\frac{5!}{2!(5-2)!}x^2y^3+\frac{5!}{1!(5-1)!}xy^4+\frac{5!}{5!(5-5)!}x^0y^5[/tex]
[tex]=x^5+\frac{5!}{4!1!}x^4y^1+\frac{5!}{3!2!}x^3y^2+\frac{5!}{2!3!}x^2y^3+\frac{5!}{1!4!}x^1y^4+\frac{5!}{5!0!}x^0y^5[/tex]
[tex]=x^5+\frac{5\times 4!}{4!}x^4y^1+\frac{5\times 4\times 3!}{3!2!}x^3y^2+\frac{5\times 4\times 3!}{2!3!}x^2y^3+\frac{5\times 4!}{4!}x^1y^4+\frac{5!}{5!}y^5[/tex]
[tex]=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
Which is the required expansion.
1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither
Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round to the nearest integer).
FIRST GRAPH
A) 20 units^2
B) 30 units^2
C) 40 units^2
D) 50 units^2
Explain why the graph shown may be misleading.
As they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
What is graph?It is defined as the data representation in visual way, and it makes the appearance of the data simpler.
As we can see in the graph:
Total of 40 compact cars, 4 of 10 each.
Total of 30 mid-size, 3 of 10 each.
And Total of 20 trucks,
However, they all appear to have the same start and end points in the graph, with the mid-sizes being longer than the compacts and the trucks being considerably larger than the others above it, virtually implying that the amounts for all are identical for that period.
Thus, as they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
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To get to work, matt walks 0.75 miles from his house to the bus stop and rides the bus 3.8 miles to his office. if he walks at a pace of 3.6 miles per hour and the bus drives at an average speed of 15 miles per hour, how long is with his commute?
What is the resulting ordered pair if the value of the independent variable is x=-3?f(x) = –2x-3
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour
.
The equation t = d + 16 represents the scenario
.
The function f(t) = 16t represents the scenario.
there can be more then one answer
Answer:
B and E are the answers
Step-by-step explanation:
Enjoy! <3
there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape soda? Give your answer as a ration in its lowest terms.
PLEASE HELP
Which is a true statement about any two congruent chords in a circle?
A. They form an angle.
B. They are perpendicular.
C. They are parallel.
D. They are equidistant from the center of the circle.
convert .98 to percent ...?
-2i over 1+i ... help :(
PLEASE ANYONE HELP MEEE!!!!
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
A.
26 cm
B.
52 cm
C.
75 cm
D.
100 cm"
What is the formula that relates circumference and radius?
A. C = 2r
B. C = 2/r
C. C = 2D
D. C + 2 = r
Answer:
The formula that relates circumference and radius is [tex]C=2\pi r[/tex].
Step-by-step explanation:
The circumference of a circle is calculated by the formula
[tex]C=2\pi r[/tex]
Where,
C is circumference of the circle.
r is radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing. So, all the given options are incorrect.
Therefore the formula that relates circumference and radius is [tex]C=2\pi r[/tex].
Jeremiah has a batting average of 0.312 this baseball season. Express his average as a fraction in lowest terms.
mx+4y=3t, Solve for the value of x
To solve mx+4y=3t for x, subtract 4y from both sides to isolate the x term, giving mx = 3t - 4y. Then, divide both sides by m to solve for x, resulting in x = (3t - 4y) / m.
Explanation:To solve the equation mx+4y=3t for the value of x, follow these steps:
First, isolate the x term by moving the 4y to the other side of the equation. This gives us:mx = 3t - 4yNext, divide both sides of the equation by m to solve for x:x = (3t - 4y) / mYou can now plug in the known values for y, t, and m to find the value of x.
When a number is divided by 5, the result is 50 more than if the number had been divided by 6. what is the number?
A quadrilateral has angles that measure 74°, 93°, and 117°.