Answers
Answer/Step-by-step explanation:
The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:
∆ADB is an isosceles triangle
∆BCD is an equilateral triangle
Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:
Isosceles triangle:
-Has two equal base angles
-The two sides opposite the two equal base angles are also equal to each other
-the their side (base) is unequal to the other
Equilateral triangle:
-Has three equal angles
-Has three equal sides
-Each angle measures 60°
Using these properties, we can determine the outside lengths of quadrilateral ABCD:
AB = 21 (given)
AD = 17 (given)
AD = BD = 17 (equal sides of ∆ADB)
BD = 17
BD = BC = CD = 17 (properties of equilateral triangle)
BC = 17
CD = 17
✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17
Perimeter = 72 units
Related Questions
Solve the following system of equations.
y=2x+16
2x−7y=−64
Possible answers
-4,8 -1,11 -7,11
Answers
Answer:
x = -4, y = 8
Step-by-step explanation:
y = 2x + 16 -----(1)
2x - 7y = - 64 -------(2)
Substitute (1) in (2)
2x - 7(2x + 16) = - 64
2x - 14x - 112 = - 64
-12x = -64 + 112
-12x = 48
x = -4
Substitute x = -4 in (1)
y = 2(-4) + 16
y = -8 + 16
y =8
Answer:
It is -4,8.
Step-by-step explanation:
y=2x +16
{
-7y=-2x-64
-6y=-48
y=8 then using substitution you will get x=-4
answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
whats the problem
Step-by-step explanation:
Simplify this expression (7p+3)+(5p-4)
Answers
Answer:
12p -1
Step-by-step explanation:
(7p+3)+(5p-4)
Combine like terms
7p+5p +3-4
12p -1
If a^b = 1, what is the value of 'b'?
Answers
Answer:
Step-by-step explanation:
the value of b is 0.
the base with the power 0 is always 1
If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
It will cost $
to fill the pool.
Answers
Answer:
$1346.40
Step-by-step explanation:
Find the volume of the pool first:
volume = cubiod + triangular prism
volume = (8*6*8) + (8*6*6)/2
volume = 528 cubic feet
price = price per cubic foot * cubic feet
price = $2.55 * 528 cubic feet
price = $1346.40
The graph of g(x) below resembles the graph of f(x)=x^2, but it has been changed. Which I'd these is the equation of g(x)?
Answers
Answer:
[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]
Step-by-step explanation:
recall that,
[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]
remember that,
Larger values of 'a' squash the curve inwardsSmaller values of 'a' expand it outwardsAnd negative values of 'a' flip it upside downsince the Parabola squashes inwards we assume a=4
we know that,
when c is positive the Parabola goes upwardswhen c is negative the parabola goes downwardsas the Parabola goes upwards by 2 units we assume c is 2
hence,
our best answer choice is a
Which expression is equivalent to (2213 61/3,1/2;
Answers
Answer:
E.
Step-by-step explanation:
[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]
Find the value of y in the equation. 3/y-2=8
Answers
Answer: 19/8 or 2 and 3/8
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Step-by-step explanation:
perimeter o rectangle is 16
Answer:
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(8+4)
=2*12
=24 ft
Subtract 65 from the product of 20 and 4.
Answers
Answer:
15 is the answer
Step-by-step explanation:
20×4=80
80-65=15
Answer:
The answer is 15
Step-by-step explanation:
(20×4)-65=15
09.03 MC) What is the domain of the following parabola? (5 points) u-shaped graph that opens down with a vertex of 2, 3 Select one: a. x ≥ 2 b. x ≤ −1 c. y ≤ 3 d. All real numbers
Answers
Answer:
The correct option is d: All real numbers.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that we can input in that function.
A general way to find the domain of a function is:
First, assume that the domain is the set of all real numbers.
Then, look at restrictions implied:
like in functions like:
f(x) = 4 if x > 3
Here the domain of the function is implied.
Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.
In this case, we have a quadratic function:
y = a*x^2 + b*x + c
Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )
Then we can conclude that the domain of this function is the set of all real numbers.
The correct option is d: All real numbers.
Turkey costs $3.38 per pound. If you buy 2.5 pounds of turkey what is the cost of the turkey?
Answers
Answer: $8.45
Step-by-step explanation:
If ST≅SV and m∠SUT=w+10° and m
Answers
Answer:
5°
Step-by-step explanation:
3w= w +10
3w-w=10
2w =10
w= 10/2
w= 5
I need help on this question
Answers
Answer:
C. y = 8x
Step-by-step explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]
Marisol:
[tex]m = \frac{18-12}{3-2} \\m=6[/tex]
Timothy:
[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.
What is the equation of a line that is perpendicular to y = 3x -2 and passes
through the point (6, 8)?
O A. y= -1/3x+10
O B. y= -1/3x + 4
O C. y= 1/3x+6
O D. y= -1/3x+8
Answers
Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
Solve the following using substitution method
Answers
Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
Which choices are equivalent to the fraction below? Check all that apply.
Answers
In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.
Answer- 12.2
Answers
Answer:
See the attachment ⬆️⬆️
please help ASAP i need to know in at least 5 mins
Answers
Answer:
Hello! answer: 80
Step-by-step explanation:
8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64
4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!
Answer:
[tex]80~in^2[/tex]
-----------
[tex]SA=4^2+4(1/2)(4)(8)[/tex][tex]=16+64[/tex][tex]=80~in^2[/tex]----------------------
hope it helps...
have a great day!!
asnwer for brainliest !!! <33
Answers
Answer:
24
Step-by-step explanation:
Let's do the smaller parts at the edge.
The formula for a triangle is 1/2bh
The base is 3 the height is 4
3 times 4 is 12
12 divided by 2 is 6
Since there are two of the same triangle on the edge both of the triangle's area is 6 which is 12
No for the upper triangle, the base is 6 and the height is 4
4 times 6 is 24
24 divided by 2 is 12
12 plus 12 is 24
The answer is
The area of the shaded parts of the triangle is 24 in^2
Hope this helps!
HELP ME ANSWER THESE PLEASEE IM IN SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
Answers
Answer: hoped this helped!
Step-by-step explanation:
2) 9/10
3) 2/5
5) 4/5
6) 1/5
7) 48 8/9
Number 1 is wrong correct answer: 5/12
ilang metro ang 1300 sentimetro?
a. 1metro
b. 13 metro
c. 130 metro
Answers
Answer:
1300 cm = 13 m
Step-by-step explanation:
We need to find meters in 1300 cm.
We know that,
1 m = 100 cm
1 cm = (1/100) m
It means,
[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]
Hence, there are 13 m in 1300 cm.
Find the area please
Answers
Step-by-step explanation:
Area of a triangle = ½(BASE X HEIGHT)
= ½(10x5)
=½(50)
=25in²
Step-by-step explanation:
Equation is
A=b*h/2
so:
5*10=50
50/2=25
25in²
Estimate the difference of the decimals below by rounding to the nearest whole number.
16.058
- 6.143
Answers
Step-by-step explanation:
16-6=10
because 16.058 rounds down
6.143 rounds down
I NEED HELP PLEASE HELP ME! I need to get this correct! Anyone
Answers
Answer:
Absolute error = 0.6m
Percentage error = 6%
Step-by-step explanation:
Given that :
Actual height = 10.4 m
Estimated height = 11 m
Tbe percentage error :
The absolute error :
|Actual value - Estimated value|
|10.4 - 11| = 0.6 m
Percentage error :
|Actual value - Estimated value| / actual value * 100%
(0.6 / 10) * 100%
0.06 * 100%
= 6%
Someoneeeee help I don’t get it
Answers
Answer:
the answer is -2,9 lollololl
What is the probability that a given student is on financial aid, given that he or she is a graduate?
rounded to the nearest percent
[ ? ] %
Answers
Answer:
72Step-by-step explanation:
[tex]\frac{1879}{2610} = 0.719 = 72[/tex]
if the arithmetic mean of 5 and c is 11,what is the value of C
Answers
Answer:
c=17
Step-by-step explanation:
(5+c)/2=11
5+c=22
c= 22-5
c=17
To which rational number to which rational subset(s) does the following number belong?
15
1. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers
Answers
Answer:
15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.
Step-by-step explanation:
TO FIND :-
those subsets to which 15 belongsFACTS TO KNOW BEFORE SOLVING :-
N = Set of all natural numbers
W = Set of all whole numbers
Z = Set of all integers
Q = Set of all rational numbers
It can be said that :-
N ⊂ W (∵ Whole numbers include all natural numbers along with 0)W ⊂ Z (∵ Integers include positive numbers i.e. whole numbers along with negative numbers.)Z ⊂ Q (∵ Rational numbers include all integers along with fractions.)Hence , N ⊂ W ⊂ Z ⊂ Q
SOLUTION :-
Method 1 -
{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )
⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q
∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.
Method 2 -
A rational number is a number which can be expressed in "p/q" form where p,q are integers & q ≠ 0. 15 can also be expressed as [tex]\frac{15}{1}[/tex]. Hence, 15 is a rational number i.e. it belongs to the set of rational numbers.Natural numbers are the countable numbers. 15 is a countable number. So , 15 is a natural number i.e. 15 belongs to the set of natural numbersWhole numbers include all natural numbers as well as zero. 15 is a natural number. So , 15 is also a whole number i.e. 15 belongs to the set of whole numbers.Integers include the negative numbers as well as whole numbers. 15 is a whole number. So , 15 is also an integer i.e. 15 belongs to the set of all integers.What is the length of NP?
Answers
Answer:
c. √174
Step-by-step explanation:
NP²= 10²+7²+5²=100+49+25= 174
NP = √174
The length of NP would be; √174
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given the measure of sides;
NP²= 10²+7²+5²
NP²=100+49+25
NP²= 174
NP = √174
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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