Answer:
a.The diagonals are congruent.
d. Opposite angles are congruent.
Step-by-step explanation:
From the above question, we are told that:
All the sides of a quadrilateral measure 5 cm.
This means this quadrilateral is a square.
The properties of a square states that:
1) Opposite sides of a square are equal each other or congruent.
2) Opposite angles are equal each other or congruent
3) Consecutive angles of a square are supplementary angles which means that they add up to 180.
4) A square has two diagonals and they are congruent or equal to one another.
Therefore, the correct options are options a and d
Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses for 124 students. How many people can you fit in a van? How many people can you fit in a bus?
Answer:
No. pp you can fit in a van: 6,
No. pp you can fit in a bus: 20
Step-by-step explanation:
Let v = # of pp in vans, and let b = # of pp in buses:
8v + 9b = 228,
4v + 5b = 124
If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:
v = 228-9b/8,
Substitute v = 228-9b/8 into bottom eq:
[4 * 228-9b/8 + 5b = 125]
[228+b/2=124]
[228+b = 248]
[b = 20]
Now substitute 20 to find no. of pp in the vans:
v = 228 - 9(20)/8 = 228 - 180/8 = 48/8 = 6
PLZ HELP
What can each term of the equation be multiplied by to eliminate the fractions before solving? LX 5 +27 = 5+x 2 4 16
A donut shop made 32 donuts with frosting and 18 donuts without frosting. What is the ratio of the number of donuts with frosting to the number of donuts without frosting?
Answer:
16 to 9
Step-by-step explanation:
Represent donut with frosting with D1 and donut without frosting with D2.
So, we have:
[tex]D_1 = 32[/tex]
[tex]D_2 = 18[/tex]
Required
Find the ratio of D1 to D2
This is calculated as:
[tex]D_1 : D_2[/tex]
Substitute values for D1 and D2
[tex]D_1 : D_2 = 32 : 18[/tex]
Divide by 2
[tex]D_1 : D_2 = 32/2 : 18/2[/tex]
[tex]D_1 : D_2 = 16 : 9[/tex]
The ratio of donuts with frosting to donuts without is 16 to 9
Answer:
16 to 19
Step-by-step explanation:
Find the value of x.
Answer:
C
Step-by-step explanation:
We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.
11 / cos 38 = 13.959.....
x = 14.0
We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.
11(tan 38) = 8.594......
8.594.....² + 11² = 194.859......
Square root of 194.859..... = 13.959.......
Paige had 18 dollars. She spent 6 of these dollars
Answer:
It would be 18-6 = 12
Step-by-step explanation:
Answer:
C, E
Step-by-step explanation:
We are looking for 12 dollars as a result of her spending 6 of 18.
A = 24
B = -12
C = 12 CORRECT
D = -24
E = 12 CORRECT
F = -12
b. (4,-7)
C. (-7,-10)
2. Tentukan persamaan garis yang melalui titik (12, -8) dan sejajar dengan garis
yang persamaannya sebagai berikut
a. Gy = 4x +18
b. 5x + 2y =14
molalui titik (-18, 7) dan tegak lurus dengan
Answer:
b)-3
c)17
d)-11
Step-by-step explanation:
4,-7)
-3
Equations from Tables
3. Two campgrounds rent a campsite for one night
according to the following table.
Write an equation for "Sunnyside Campground"
below." DO NOT SOLVE, THAT IS FOR SLIDE #5
Number of campers Sunnyside Campground Green Mountain Campground
1
$58
$40
2
$66
$50
3
$74
$60
4
$82
$70
Answer:
8
Step-by-step explanation:
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
help quickly
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 - 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Multiply the two polynomials and write your answer in standard form – 3x (4x - 2)
Answer:
-12x^2+6x
Step-by-step explanation:
-3x(4x-2)
-12x^2+6x
The standard form of the polynomial is -12x² +6x.
What is a polynomial?A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.
The given expression is – 3x (4x - 2)
Solving further,
–3x (4x - 2)
=-12x² +6x.
The standard form of the polynomial is -12x² +6x after multiplying – 3x (4x - 2)
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ2
6×(80÷4+2×3+5)-7 solve
Answer:
the answer you can try is
186x-7
Answer:
1853
Step-by-step explanation:
6(80/4+2*3+5)-7, 6(31)-7, 1860-7=1853
Does BBC live matter why or why not?
Answer:
THIS IS NOT A MATH QUESTION HOWEVER GIVE MY. ANSWER AS BRAINLIST ANSWER
What is the area of a circle with a radius of 13 millimeters? (Use 3.14 for Pi.)
Step-by-step explanation:
Given
Radius (r) = 13 mm
Area of the circle
= πr²
= 3.14 * 13 *13
= 530.66 mm²
Hope it will help :)
Can I get help answering this question (1 - 9z) + 3(z - 2)
Answer:
-6z - 5
Step-by-step explanation:
1 - 9z + 3z - 6
1 + (-6) + (-9z) + 3z
-5 - 6z or -6z - 5
Given matrix A below, calculate det[A] twice using minors and cofactors
[tex]A = \left[\begin{array}{ccc}1&2&3\\3&4&5\\6&7&8\end{array}\right][/tex]
Pivot on:
a) row 2, and also
b) column 3
Answer:
a. 3(16-21) - 4(8-18) +5(7-12) = -15 + 40 - 25 = 0
b. 3(21-24) - 5(7-12) + 8(4-6) = -9 + 25 - 16 = 0
Multiplying and Dividing by Powers of 10
~~~~~~~~~~~
which of these equivalent to 1,000,000?
A. 10(3)
B. 10(4)
C. 10(5)
D. 10 (6)
Answer:
10(6)
Step-by-step explanation:
Hope it's right.....
pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in
Answer:
b) 256 inches
Step-by-step explanation:
8x5x2 = 80 (top & bottom)
8x5x2 = 80 (front & back)
8x8x2 = 128 (gross area of 2 sides)
4x4x2 =32 (delete this for side cutouts) Guessing the cutoff dimension on
left side is 4m inch.
80+80+128-32 = 256 inches
Your younger sibling runs up to you and excitedly exclaims, "I'm thinking of a number. If I add it to the number 2 ten times, that is, 2 + my number + my number + my number, and so on, then the answer is 2. What is my number?" You almost immediately answer, "zero," but are you sure? Can you find a different number (other than zero) that has the same property? If not, can you justify that your answer is the only correct answer?
Answer:
[tex]x = 0[/tex]
Step-by-step explanation:
Given
Represent the number with x.
So:
[tex]2 + x + x + x + x + x + x + x + x + x + x = 2[/tex]
or
[tex]2 + 10x = 2[/tex]
We want to solve for x
Subtract both sides by 2
[tex]2 - 2 + 10x = 2 - 2[/tex]
[tex]10x = 0[/tex]
Solve for x
[tex]x = \frac{0}{10}[/tex]
[tex]x = 0[/tex]
No other number aside 0, satisfy the property.
pls help meh
6th grade math
Answer:
% = 50
Step-by-step explanation:
% 9
-- = --
100 18
Multiply 9 times 100, that equals 900. Divide 900 by 18, which = 50.
find the exact value of the composite function show work
Answer:
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
Step-by-step explanation:
This function can be written as:
[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]
[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x). This implies that the denominator is the cosine of the angle whose sine is 1/(2x)
Think of a right triangle and consider the angle with this sine. Then the opposite side has length 1 and the hypotenuse has length 2x. The Pythagorean theorem then implies that the adjacent side is
[tex]\sqrt{4x^{2} -1}[/tex]
The cosine of the angle is adjacent over hypotenuse, so the cosine is
[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]
The secant is the inverse of the cosine, so the answer is
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
Tell whether (4, 27) is a solution of y=3x+15
Answer:
Yes
Step-by-step explanation:
We have two properties for our question :
(4, 27)
y = 3x + 15
We are being asked whether the point (4, 27) is a solution of y = 3x + 15
So how do we figure this out? Well, what we have to know first that (4, 27) represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.
y = 3x + 15
y = 27 and x = 4
27 = 3(4) + 15
27 = 12 + 15
27 = 27
Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15
Answer:
yeee
Step-by-step explanation:
1.If the part is bigger than the whole, what must be true about the percent 2.If the part is smaller than the whole, what must be true about the percent ?
Answer:
1.greater than 100%
2.less than 100%
Step-by-step explanation:
A whole is represented by the percentage 100%. Therefore, if the part being targeted is bigger than the whole then it would be greater than 100%. While, if the part is smaller than the whole then it would be less than 100%. This is always true in every scenario due to "a whole" being represented as the entirety of the object or data in question, which is why in numerical value it is shown as being 100%
Can you PLEASE HELP ME!!!
Answer:
The correct answer would be B I believe
Step-by-step explanation:
Tom and Katie are discussing the sequence 3n - 4
Tom says 34 is a term in the sequence.
Katie says 41 is a term in the sequence.
Answer:
only katie
Step-by-step explanation:
34 is not a term in the sequence but 41 is, so in this case, only katie is correct
Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is she right? Explain
Answer:
Maggie is incorrect.
Step-by-step explanation:
PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 before dividing.
I hope this helps!
Solve the equation by graphing the related function.
-x² – 4=0
Use the graphing tool to graph the parabola.
Answer:
Your graph is a parabola and needs to open down because the equation is negative. And your vertex is at (0,-4)
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-3/12
Step-by-step explanation:
7x – 3y = 25
4x+5=y
Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (−8,−27)
Equation Form: x=−8,y=−27
??????????????????????
(-1.3x-4.5)−(−2.1x+3.6)
step by step pls
This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7
Answer:
-7x + 8(x + 1) = -7
Step-by-step explanation: