Answers
Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
Finding z :
∠EDC = ∠ABC (Alternate angles)8z = 64z = 8Finding ∠CED :
∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°Finding y :
∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20Finding ∠BCE :
∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.
Angles around a point sum to 360°
Angles on a straight line sum to 180°
⇒ ∠ACB + ∠BCE = 180
⇒ ∠ACB + (7y - 6) = 180
⇒ ∠ACB = 180 - (7y - 6)
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 186 - 7y
The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CBA + ∠BAC= 180
⇒ 186 - 7y + 64 + 3y + 10 = 180
⇒ 260 - 4y = 180
⇒ 4y = 80
⇒ y = 20
Using the found value of y to find ∠BCE:
⇒ ∠BCE = 7(20) - 6
⇒ ∠BCE = 134°
Angles on a straight line sum to 180°
⇒ ∠DCE + ∠BCE = 180
⇒ ∠DCE + 134 = 180
⇒ ∠DCE = 46°
The interior angles of a triangle sum to 180°
⇒ ∠DCE + ∠CED+ ∠EDC = 180
⇒ 46 + (9z - 2) + 8z = 180
⇒ 17z + 44 = 180
⇒ 17z = 136
⇒ z = 8
Using the found value of z to find ∠CED:
⇒ ∠CED = 9(8) - 2
⇒ ∠CED = 70°
Related Questions
4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²
Answers
Answer:
C and B
Step-by-step explanation:
Evaluate all the exponents
3^8: 6,561
8^3 = 512
(3 * 3) ^4 = 6,561
(3^4)^2 = 6,561
Options C and B would work.
Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes
Answers
Answer:
In the white box with the "?" PUT 40
final answer: 13/20
Step-by-step explanation:
4/10 + 25/100
can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.
4/10 + 25/100
= 40/100 + 25/100
Keep the bottom, add the tops.
= (40+25)/100
= 65/100
always simplify when possible. 5 goes into both 65 and also 100
65/100
= 13/20
13/20 of Shira's garden is planted with carrots and potatoes.
(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Answers
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
please help me with this question !!
Answers
Answer:
x is (0,15), because when you place x as zero you'll the coordinate D when you plot these coordinates on your graph.
PLEASE HELP ME WITH PROB AND STATS
6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
Answers
Answer:
y = 5.07 + 0.850x
Step-by-step explanation:
You can check all equation on the calculator y =
Help me please I need it right now like now now
Answers
Answer:
$0.84
Step-by-step explanation:
Whoever answers these 6 area of composite shapes will get brainliest.
Thank you for your hard work!
Answers
Answer:
80 mi²63 in²32 m²44 cm²59.5 ft²48 km²Step-by-step explanation:
Q1
8 x 4 + 12 x 432 + 4880 mi²Q2
5 x 3 + 12 x 415 + 4863 in²Q3
4 x 2 + 8 x 38 + 2432 m²Q4
10 x 4 + 2 x 240 + 444 cm²Q5
5 x 2 + 11 x 4.510 + 49.559.5 ft²Q6
3 x 1 + 9 x 53 + 4548 km²Determine the equation of the line passing through the points (−1,1) and (1,7).
Write the line in standard form Ax+By=C.
Answers
Answer:
[tex]3x - y = -4[/tex]
Step-by-step explanation:
To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex] where m is the slope and b is the y-intercept.
1. Find the slope:
[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]
2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]
[tex]1 = 3(-1) + b[/tex]
so [tex]b[/tex] = 4
3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]
4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.
Our result is [tex]3x - y = -4[/tex].
Hope this helps :)
PLEASE HELP FOR BRAINLIEST :(((
Find the circumference and the area of a circle with radius 9m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answers
The circumference and the area of a circle with a radius of 9m is 28.26
How to find the circumference
The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:
Given that:
Circumference of Circle = [tex]2\pi r[/tex]
[tex]9x=28.26[/tex]
[tex]9*3.14=28.26c[/tex]
[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]
Therefore, The circumference and the area of a circle with a radius of 9m is 28.26
Learn more about finding the circumference here:
https://brainly.com/question/27447563
the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
Answers
Step-by-Step Explanation:
Tax Rate = 6.8%
Tax Rate on $9.95 = ?
Using the Percentage Formula,
= 6.8/100 x 9.95
= 0.6766
Therefore,
Rounding off to the nearest hundredth:
= $0.68
Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
Answers
Answer:
2
Step-by-step explanation:
I don't know why am I so bad at math???
If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True
Answers
Answer:
HOPE THIS HElps
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function
What is the value of x
Answers
Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?
Answers
Answer:
NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...
Step-by-step explanation:
Answer:
Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.
Step-by-step explanation:
100% on edge
Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answers
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
Find the different angle measures
Answers
The different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
Calculating measures of anglesFrom the question, we are to determine the measures of the different angles
1.
From the given information,
[tex]m \overset{\LARGE\frown}{HD} = 68^\circ[/tex]
This implies that the measure of the central angle is 68°
Then,
[tex]m\angle EBD = \frac{1}{2} \times 68^\circ[/tex] (Angle at the center is twice the angle at the circumference)
∴ [tex]m\angle EBD = 34^\circ[/tex]
2.
From the diagram
[tex]m\angle ACE + m\angle BED + 90^\circ = 180^\circ[/tex]
From the given information
[tex]m\angle BED = 38^\circ[/tex]
Then,
[tex]m\angle ACE + 38^\circ + 90^\circ = 180^\circ[/tex]
[tex]m\angle ACE + 128^{\circ} = 180^\circ[/tex]
[tex]m\angle ACE = 180^\circ-128^{\circ}[/tex]
[tex]m\angle ACE = 52^{\circ}[/tex]
3.
First, we will determine [tex]m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 2 \times m\angle ACE[/tex] (Angle at the center is twice the angle at the circumference)
[tex]m \overset{\LARGE\frown}{GD} = 2 \times 52^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
But,
[tex]m \overset{\LARGE\frown}{GD} + m \overset{\LARGE\frown}{GB} = 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - 104^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4.
[tex]m \overset{\LARGE\frown}{GBD} = m \overset{\LARGE\frown}{GB} + 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 76^\circ +180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5.
[tex]m \angle DBA= 90^\circ[/tex] (Tangent and diameter/ radius theorem)
If a tangent and a diameter meet at the point of tangency, then they are perpendicular to one another
6.
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex] (As determined above)
7.
First, we will determine [tex]m\angle GFB[/tex]
[tex]m\angle GFB + m\angle EBD + 90^\circ = 180^\circ[/tex]
[tex]m\angle GFB = 180^\circ -(m\angle EBD + 90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - (34^\circ+90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - 124^\circ[/tex]
[tex]m\angle GFB = 56^\circ[/tex]
[tex]m\angle GFB = m\angle DFC[/tex] (Vertically opposite angles)
[tex]m\angle DFC= 56^\circ[/tex]
Hence, the different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
Learn more on Calculating the measures of angles here: https://brainly.com/question/21872415
SPJ1
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answers
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
(10 times 2) + 5 times 8 =
Answers
Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …
Answers
Answer:
[tex]S_5=\frac{211}{16}[/tex]
Step-by-step explanation:
We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]
order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4
Answers
Answer:
its already in order from least to greatest
Step-by-step explanation:
If 27 out of 30 people passed a driving
test, what percent failed?
Answers
Answer:
10% failed the driving test
Step-by-step explanation:
27/30 = 90% and since 90% is what PASSED, 10% is what FAILED
this should be correct... if its not im sorry
Answer:
10% failed
27 / 30 is 90% so, 100% - 90% = 10%
Please mark Brainliest!!
Evaluate A² for A = -4.
Answers
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
Does anyone understand this?
Determine the degree of each polynomial listed.
1. y4 x3 v + 14
2. 2x + 6
3. 5y10 – 6x7y3 – 4y – 5
4. x3 +4y – 9
5. 60x2 y + 8
Answers
Answer:
811033Hope it helps.
Find the factor of each ff.
x²+27x+49
Answers
Answer:
There are no factors.
Step-by-step explanation:
x²+27x+49 is prime.
The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answers
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left
Answers
20 ÷ 8 = 2.5
2.5 × 3 = $7.5
How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.
Answers
Answer:
Step-by-step explanation:
The radius of the is extended to 2*3 = 6 cm.
The measure of the central angle is unchanged.
Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answers
Answer:
the answer is C mean absolute deviation
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answers
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
May I please get help to this question.
Answers
Answer: 3
Step-by-step explanation: