Answer:
58
Step-by-step explanation:
To get the average, you add all of the numbers and then divide by the amount of numbers.
51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.
581 ÷ 10 = 58.1
Then, rounding 58.1 is 58
which one should I be picking??
Answer:
angle 1 is 39
angle 3 is 51
Step-by-step explanation:
Here, we want to get the value of angle 1 and angle 3
Let’s have the meeting point of the diagonals as E
Hence , ADE is a right triangle
Thus,
39 + angle 3 = 90
angle 3 = 90-39
angle 3 = 51
Furthermore;
we can see that ABD is isosceles, meaning that the base angles are equal
Thus, we have it that;
angle 3 and angle at B (for AEB triangle) are equal in values
So, we can conclude that the angle is 51 too
so if the angle is 51 too, then the triangles ADE and ABE are similar
That simply means angle marked 1 is 39
Pamela needs to buy 12 yards of blue ribbon that costs $2.05 per yard. She also needs 6 yards of yellow ribbon for $1.85 per yard. If she gives the store cashier $40, how much change will she get back?
....
Answer:
13.5
Step-by-step explanation:
12 yards of blue ribbon that costs $2.05 per yard. is 24.6 . She also needs 6 yards of yellow ribbon for $1.85 per yard. is 11.1 24.6-11.1=13.5
A park has the shape of a trapezoid.
The shortest side of the park and its height have the same dimension.
Write numbers in the boxes to show the missing dimensions. What is the area of the park?
Hint: There are 3 parts in this question
Part 1 you need to find what is A
Part 2 you need to find what is B
Part 3 You need to calculate the area of all the figure ( find the area of the rectangle and two triangles then sum them all up)
Do not forget the unit!!
Answer:
[tex]the\: answer \: is \: {108 \: mi.}^{2} [/tex]
Step-by-step explanation:
Given hints:
a.) A park has the shape of a trapezoid.
b.) The shortest side of the park and its height have the same dimension.
In the given figure, the shortest side of the park is A. Since it is mentioned that the height and its shortest side have the same dimension, we can therefore say that the measure of A is 9 mi.
The longest side appears to be 6 miles longer that the shortest side:
[tex]b = a + 3 \: mi + 3 \: mi = a + 6 \: mi[/tex]
Therefore, B = A + 6 mi. = 9 mi. + 6 mi. = 15 mi.
Let's now determine the area of the park:
[tex]area = \frac{a + b}{2} h[/tex]
Where,
A = 9 mi.
B = 15 mi
H = 9 mi.
[tex]area = \frac{a + b}{2} h \\ \\ = \frac{9 \: mi. +15 \: mi. }{2} (9 \: mi.) \\ \\ = \frac{24 \: mi.}{2}(9 \: mi.) \\ \\ = (12 \: mi.)(9 \: mi. \\ \\ area = {108 \: mi.}^{2} [/tex]
The area of the park is 108 mi^2.
2. Identify the solution to the system of equations graphed below.
Answer:
(-4,1)
Step-by-step explanation:
Hey there!
so the solution of two equations is where the two equations cross over
the two equations cross at (-4,1) therefore that is your answer
Simplify this for me please!!! And fast
-2xy + 5x² +4y -10x
Step-by-step explanation:
9^7 × 9^8
please help i dont know how to solve
Answer: 205891132094649
Step-by-step explanation:
Someone help me it’s a timed question only get 3 min
Answer:
Slope = -5/4
y-intercept = 7
Step-by-step explanation:
The equation is y = mx + b.
m is the slope, while b is the y-intercept.
Because -5/4 is where m would be in the equation, it is the slope.
7 is where b would be in the equation, so it is the y-intercept.
Which linear equation contains the points
shown in the table?
A y= 5x + 4
B. y= 4x+5
c y= 5x-4
D. y= 4x-5
Table
x y
1 -1
2 3
3 7
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area if this other. Be sure to include the correct unit in your answer.
Answer:
332 ft²
Step-by-step explanation:
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.
Solution:
The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²
Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft
The width of the path with the garden = 33 + 2 + 2 = 37 ft.
Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².
Area of the path = 1850 ft² - 1518 ft.² = 332 ft²
Given: m∠B = 46°; m∠C = 45°; m∠R = 46°; m∠T = 89° Prove: △ABC ~ △TRS Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees. Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof? △ABC is an acute triangle. △TRS is larger than △ABC. The sum of the measures of the interior angles of a triangle is 180°. The sum of the side lengths of two sides of a triangle is greater than the third side length.
Answer:
C) The sum of the measures of the interior angles of a triangle is 180°.
Step-by-step explanation:
I got it correct on edge
The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two triangles shown in the picture.
Angle B = 46 degrees
Angle C = 45 degrees
Angle A = 180 - 45 - 46 = 89 degrees
Angle R = 46 degrees
Angle S = 180 - 46 - 89 = 45 degrees
Angle T = 89 degrees
Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
What is the equation of a line in slope intercept form that passes through the points (3 , 7) and (6 , 16)?
Answer:
y-y1 = m(x-x1)
y-7 = 3(x-3)
y-7 = 3x-9
y = 3x-2
What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
R = 5
Answer:
78.54
Step-by-step explanation:
The area of a circle can be found using
[tex]A=\pi r^2[/tex]
If we know that the radius is 5, then our equation becomes this.
[tex]A=\pi*5^2[/tex]
Simplifying:
[tex]A=3.14*25[/tex]
Gives us:
[tex]A=78.54[/tex]
Complete the table of equivalent ratios.
3
5
10
9
20
25
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay
Answer:
$365.99
Step-by-step explanation:
$450 - 12% = $365.99
The legs of a right triangle measure 5 and 8. What is the length of the hypotenuse?
[tex]\sqrt{89}[/tex]
Hope This Helps You!
Good Luck Studying ^-^
plz help me check if its right its kinda hard :(
Answer:
It is correct actually.
Step-by-step explanation:
141 + 39 = 180
Yeah, that's correct
Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.
Mr Jack thinks that ⅘ is equivalent to 9/10 because 4+5=9 and 5+5=10 Explain what was incorrect about this. Please use the terms numerator and denominator in your explanation, below.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{4}{5} = \frac{9}{10}[/tex] --- Jack's thought
Because:
[tex]\frac{4+5}{5+5} = \frac{9}{10}[/tex]
Jack's thought is incorrect.
This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.
Take for instance, the common term is: 2
The fraction becomes:
[tex]\frac{4 * 2}{5 * 2} = \frac{8}{10}[/tex]
HELP PLS ILL MARK BRAINLIEST
Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x
Answer:
m = -10, 14 x = 1, -5
Step-by-step explanation:
m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)
(1)m^2 - 4m - 140 = 0
Objective: Find two numbers that multiply to -140(1 * -140) and add to -4
Numbers: 10, -14
(m + 10)(m - 14) = 0
m + 10 = 0, m - 14 = 0
m = -10, m = 14
x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)
(1)x^2 + 4x - 5 = 0
Objective: Find two numbers that multiply to -5(1 * -5) and add to 4
Numbers: -1, 5
(x - 1)(x + 5) = 0
x - 1 = 0, x + 5 = 0
x = 1, x = -5
What does the equation 3 + m = 8 mean?
A
Three plus eight equals m.
B
Three plus m equals eight.
С
m plus eight equals three.
D
Eight equals three m.
Answer:
The answer is B
- have a good day
Use the information given to enter an equation in standard form. (−1, 1) and (0, 6) are on the line.
Answer: -5x+y=6
Step-by-step explanation:
Given
Points on line [tex](-1,1)\ \text{and}\ (0,6)[/tex]
The standard form of an equation is [tex]ax+by=c[/tex]
Using the two-point form of a line
[tex]\Rightarrow \dfrac{y-1}{x+1}=\dfrac{6-1}{0+1}\\\Rightarrow \dfrac{y-1}{x+1}=\dfrac{5}{1}\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6[/tex]
Solve the equation 2/3(9+x)=−5(4−x).
Answer:
the answer is x=6
Step-by-step explanation:
hoped I helped
Please look at the picture and answer my question I need help!
Answer:
64oz=4lb
Step-by-step explanation:
When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.
To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.
64/16=4
64oz=4lb
PLEASE HELP IT"S URGENT
Which figure has the greater Volume??
6v+12b=504
2v+5b=204
Answer:
Step-by-step explanation:
6v + 12b = 504 eq1
2v + 5b = 204 eq2
6v + 15b = 612 eq2 times 3
0 -3b = 504 - 612 subtraction of the two bolded eqs
-3b = -108 solve for b
b = 36
Another way to solve the problem
6v + 12b = 504 I would eliminate the v term by multiplying the bottom
2v + 5b = 204 equation by -3 on BOTH sides and then add the two eqs
2v + 5b = 204
-3(2v + 5b) = -3(204)
-6v - 15b = -612
6v + 12b = 504
-6v - 15b = -612 add the like terms
(6v + (-6v)) + (12b + (-15b) = 504 + (-612)
(6v -6v)) + (12b - 15b) = 504 - 612)
0 + -3b = - 108 solve for b divide both sides by -3
b = -108/-3
b = 36
use eq 2v + 5b = 204 to solve for v and knowing b = 36
2v + 5b = 204 b=36
2v + 5(36) = 204 substract 5 times 36 from both sides
2v = 204 - 180
v = 24 / 2
v = 12
NOW CHECK the values for b and v using the OTHER eq
6v + 12b = 504
6(12) + 12(36) = 504
72 + 432 = 504
504 = 504 IT CHECKS
pls help with this question 30 pts plus brainlyist.
eighteen biscuits are made from each cup
What is the value of -5 ?
Answer:
-1 because if you look you have multiple it
Step-by-step explanation:
hope this help
If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
9 × 13ˣ = 9 × exp(ln(13ˣ ))
… = 9 × exp(x ln(13))
… = A₀ × exp(kx)
so that
A₀ = 9
k = ln(13)
please help asap!! i’ll give brainlist if right.
Answer:
dogs = 2
cats = 80
Step-by-step explanation:
Here I will assume that cats and dogs are proportional
c = y d, if you substitue, you get
10 = y 4, which rearranged, becomes
y = 10/4 = 2.5
now that we know y, we can work out x and y, the missing dogs and cats
4 = 2.5 d
here, dogs = 2
c = 2.5 * 32
2.5 * 32 = 80
here, cats = 80