Answer:
ADE=59º
Step-by-step explanation:
4x+15+13x+7=90
17x+22=90
17x=68
x=4
angle B=angle ADE so we plug in x=4 into 13x+7
13(4)+7=59º
the area of the figure
4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.
9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
__
b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
__
c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
PLEASSEEEEEEEE HELLPPPPPPPP MEEEEEEEE
Answer:
D
Step-by-step explanation:
Answer:
The answer is D. Associative and Distributive Properties.
Step-by-step explanation:
P.S Can I have brainliest?
What is the constant of proportionality for the table? What does it represent? Reminder: k= y/x
Answer:
The constant of proportionality is 5. It represents the cups of yellow paint needed for 1 cup of blue paint.
How far is `10\%` of a `2,000`-kilometer trip?
3x-2y=1x+4y=33 elimination process
Answer:
x = 5 ; y = 7
Step-by-step explanation:
3x - 2y = 1 --------------------(I)
x + 4y = 33 ------------(II)
Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y
(I) 3x - 2y = 1
(II)*(-3) -3x -12y = -99 {Now add}
- 14y = -98
y = -98/14
y = 7
Plugin y = 7 in equation (I)
3x - 2*7 = 1
3x - 14 = 1
3x = 1 + 14
3x = 15
x = 15/3
x = 5
Find (12y + 20y2 – 2) + (-13y2 + y - 10). Write your answer in
standard form.
Answer:
7y²+13y-12
Step-by-step explanation:
20y²+12y-2-13y²+y-10
7y²+13y-12
Guys help me please ,how to solve it? i need a solution
Answer:
well, x = 5
Step-by-step explanation:
here,
EB Is parallel to DC , so
Angle AEB = Angle ADE
( because they are corresponding angle pair )
Angle ABE = Angle ACD
( because they are corresponding angle pair )
triangle ADC Is similar to triangle AEB
(By AA similarity criteria )
hence AE / ED = AB / BC ( by CPCT )
so 24/10 = 12/x
=》 24/12= 10/x
=》 x = 5
okay i hope u got it
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 18. 3 feet and diagonal BD equal to 13.8 feet
What is the area of the farm? (1 point)
a
73.2 square feet
b
111.2 square feet
c
126.27 square feet
d
168.36 square feet
Answer:
c 126.27 square feet
Step-by-step explanation:
sum of two triangles
18.3 * (13.8/2) * 2 = 126.27
What is the answer to this question?
Answer:
the answer is the top right option
Step-by-step explanation:
I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a black cube, put it back then randomly choose a yellow cube
Answer:
4/75 or 0.05333
Step-by-step explanation:
3+4+2+6=15 elements
2/15= probability to choose a black
6/15 = probability to choose a yellow cube
Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333
Please help me asap this is due in 10 min Ill also mark brainliest
As we know that formula of area of circle is πr²
So let's apply formula
π×8.6×8.6
=232.2
=200 is the nearest hundredth.
You have to do rest of all through this method.
HELP FAST!!!! Please
A plane passes through this three-dimensional figure parallel to its base. Which shape represents the cross section that is created.
Answer:
c
Step-by-step explanation:
hope it helpp
Write the slope intercept form of the equation of the line through the given points
Answer:
9) y = -3x - 4
10) y = -1/3x + 14/3
11) y = x - 1
12) y = -7/5x - 18/5
13) y = 3/5x + 9/5
14) y = -2x - 3
Step-by-step explanation:
For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!
please help me with this
Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?
Answer:
It's %9.0.
Step-by-step explanation:
A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat
The width of the mat with the given area and length is 7/10 in.
What is the width of the mat?The area of a rectangle is expressed as;
A = l × w
Where l is length and w is width.
Given the data in the question;
Area A = 7/12 in²Length l = 5/6 inWidth w = ?We plug our given values into the above equation and solve for w.
A = l × w
7/12 = 5/6 × w
w = 7/12 ÷ 5/6
w = 7/12 ÷ 6/5
w = 42/60
w = 7/10 in
Therefore, the width of the mat with the given area and length is 7/10 in.
Learn more about area of rectangle here: https://brainly.com/question/20693059
#SPJ1
SOLVE FOR X. pls i need help
30 POINTS WOWWWWWW plz answer :)
Answer:
Step-by-step explanation:
3. Graph each line y, y1, y2, y3, and y4 and record the data in the table below.
(Graph all five lines together so that you can compare them)
It’s question 3
The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
determine the slope of the linear graph y=12x+7
Answer:
12x
Step-by-step explanation:
look at Michael expression. Why do you add 6+4 first
Answer:
probably cuz its in parentheses but there's no picture
Step-by-step explanation:
what is the correct answer ro this problem? 121 ÷ 11 = ?
Answer:
11
Step-by-step explanation:
quik mafs
Is the following table proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
y= -7x
Find the value of x
Answer:
x=20°
Step-by-step explanation:
The triangle is equilateral. (All sides are the same).
Each angle in an equilateral triangle is 60.
3x=60
x=20°
Find the slope of the line.
please help
will mark brainlyest
Answer:
m = 1
Step-by-step explanation:
slope = (y₂-y₁)/(x₂-x₁)
m = (4 - -1) / 1 - -4) = 5/5 = 1
Find the value of x. 1) m angle2=3x-6 120° 2 B) 10 D) 6 A) 12 C) -11
Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.
Answer:
With river 12 miles per hour
Against river 9 miles per hour
wv = water velocity vsw = boat velocity in still water
vsw +wv = 12 mph
vsw -wv = 9 mph
2 * vsw = 21 mph
boat velocity in still water = 10.5
Since vsw + wv = 12 then
water velocity = 1.5 mph
Step-by-step explanation:
Answer:
speed in still water: 10.5 Current: 1.5
Step-by-step explanation:
I don’t think this is right I need help?
Answer:
1 and 2
Step-by-step explanation:
If x is 1: 2 x 1 + 7 = 2 + 7
= 9 This works.
If x is 2: 2 x 2 + 7 = 4 + 7
= 11 This works
If x is 3: 2 x 3 + 7 = 6 + 7
= 13 This does not work since 2x + 7 has to be less than 13.