Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.
Answers
The image is attached.
Answer:
x = 16°
Step-by-step explanation:
Segment AB, segment DC and segment EC all intersect at point C.
Here, we are told angle DCE measures 148°.
This is a semi-circle, and the total angle of a semi-circle is 180°.
Which means, x+x+148 = 180
Solving for x, we have:
x+x+148 = 180
2x + 148 = 180
2x = 180 - 148
2x = 32
[tex]x = \frac{32}{2}[/tex]
x = 16°
The value of x is 16°
Related Questions
Need help on this, if it’s right I’ll make it brainliest
Answers
Answer:
(0,2)/(4,5)
Step-by-step explanation:
Im Pretty Sure That's Correct.
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 182 cm 2 , what is the length of the diagonal?
Answers
Answer:
20.93cm
Step-by-step explanation:
The shape of the solid is rectangle
Area = length × width
But the width (w) = 2 times the length minus 2
W = 2L - 2
A = L × (2L - 2)
Area of the rectangle = 182cm²
A = 2L² - 2L
182 = 2L² - 2L
2L² - 2L - 182 = 0
L² - L - 91 = 0
Solving the equation using quadratic formula,
A = 1, b = -1, c = -91
L = [-b±√(b² - 4ac)]/2a
L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²
L = [1 ± √(1² + 364)] / 2
L = [1 ± √(365)] / 2
L = (1 ± 19.10) / 2
Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides
L = (1 + 19.10) / 2 = 10.05cm
Width = 2L - 2
W = 20.1 - 2 = 18.10cm
Length = 10.05cm
Width = 18.10cm
Diagonal of the rectangle = ?
To find the diagonal, we'll use pythagorean theorem,
A = diagonal
B = length
C = width
a² = b² + c²
a² = (10.05)² + (18.10)²
a² = 110.25 + 327.61
a² = 437.86
a = √(437.86)
a = 20.93cm
The diagonal of the rectangle is 20.93cm
Find the slope of the line
Answers
Answer:
A) 3/2
Step-by-step explanation:
slope of the line equation:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-3 , -3)
(x₂ , y₂) = (1 , 3)
Plug in corresponding numbers to the corresponding variables:
m = (3 - (-3))/(1 - (-3))
Simplify:
m = (3 + 3)/(1 + 3)
m = (6)/(4)
m = 3/2
A) 3/2 is your slope.
~
Answer:
the answer is three over two 3/2
Step-by-step explanation:
the equation is
Ya-Yb
divided by
Xa-Xb
so basically:
-3-3/-3-1
can someone answer this I'll mark brainliest for the correct one i don't know what phrases they are talking about either so um yeah if someone could clarify that too that would definitely be the brainliest but you have to answer the original question too maybe these will help too the actual answers for some reason they change that....idk why but yeah, please answer
Answers
Answer:
Is this PSAT or where are u answering this question?
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answers
Answer:
Yes, 2
Step-by-step explanation:
Got it right on Edge 2020
Answer: 1: YES 2: 2
Step-by-step explanation:
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answers
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
-1/2 (-5/6+1/3)=????
Answers
Answer:
1/4
Step-by-step explanation:
5/12-1/6
1/6=2/12
5/12-2/12=3/12=1/4
Answer:
1/4 or 0.25
Step-by-step explanation:
Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
Answers
Answer:
$63 is the answer
Step-by-step explanation:
100-37=63
☺️☺️☺️☺️☺️☺️help please and thank you:)
Answers
Answer:
the anwser is a
Step-by-step explanation:
The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
Answers
Answer:
x = 17 y= -38
Step-by-step explanation:
x + y = -21
y = x - 55
It doesn't matter whether x or y is 55 less than the other right now.
substitute for y:
x + x - 55 = -21
solve for x:
2x = 34
x = 17
solve for y:
17 + y = -21
y = -38
What is the value of x ?
Answers
Answer:
720
Step-by-step explanation:
you just need to multiply
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answers
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answers
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
Choose the function to match the graph.
f(x) = log x + 2
f(x) = log x - 2
f(x) = log (x + 2)
f(x) = log (x - 2)
Answers
Answer:
C; f(x)=log(x+2)
Step-by-step explanation:
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.
C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?
{I only need help on part C}
Answers
Answer:
The mean value = $80.5
Step-by-step explanation:
The value of her last six spendings are $109, $72, $99, $15, $99, and $89.
For the mean.
Mean = Total spendings/number
Mean =483/6
Mean = $80.5
For the median.
Lets arrange it in ascending order
$15 ,$72, $89, $99, $99, $109
The middle values are two.
Median = (89+99)/2
Median = 188/2
Median = $94
For the mode
$15 ,$72, $89, $99, $99, $109
Highest occuring is $99 with two frequencies.
To convince her parents that she needs an increase in allowance she would show them the bigger spendings .
So the least value on the list it's mean value which is $80.5.
while abbie is jogging she moves forward 85 cm every second how many seconds will abbie take to jog 8.5 meters
Answers
Answer:
85 cm = .85 meters
8.5 / .85 = 10 seconds
Step-by-step explanation:
Complete 4 A,B 9 for points.
Answers
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answers
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
What is the surface area of this design?
Answers
Answer:
This is a trick question- It is actually not hard to get to 440! Here's how:
You probably already know that the tall rectangles take up 4×(5×8)=160 of surface area, and that the short rectangles take up 4×(2×10)=80 of surface area. This looks like an office building so let's call it one.
You probably also saw the big, 10×10=100 inch area underneath the design.
BUT, did you know that the small, 5×5 inch square on top can be COMBINED with the weird, L-shaped flat-roof part in the middle? That's right! the 5×5 inch square can be seen as part of a full 10×10 inch square sitting on top of the short, wide rectangles.
If you look at the L-shaped flat roof, you can see that it's actually 3 more 5×5 squares. You need to connect the 10-inch dimension on the bottom with the 5-inch one on the top.
SO, the answer is gonna be:
160 in² in tall rectangles, +
80 in² in short rectangles, +
100 in² on the bottom, +
100² on the combined top small square and corner roof
Add those all up using some quick maths, and you get 440 in².
Some more details if you're still confused:
The sides of the tall rectangle? It's 5 inches by 8 inches, so each side 8×5=40 in². They go all around the tall box, so there are 4 of them. 40+40+40+40=160, or in other words, 40×4=160.
Do you see the short, wide rectangles on the bottom? they're 10 inches by 2 inches each, so each one is 2×10=20 in². They also go all around the short box, so they add up to 20+20+20+20=80, or in other words, 20×4=80.
Now I want you to think about the bottom of the design, underneath. It is 10 inches by 10 inches, so it is 10×10=100.
Finally, the small square on top of the tall rectangle, and that L-shaped part. Together, they make another 100, or 5×5 on top plus 5×10 + 5×5 again for the parts of the L-shaped roof, or 25+50+25, which equals 100.
Compare the fractions use greater than less than or equal
5/8 ___25/40
Answers
Answer:
it's equal=
Step-by-step explanation:
5 divided by 8 = .625, 25 divided by 40= .625
Answer:
=
Step-by-step explanation:
THEY ARE EQUAL. :)
EASY!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answers
Answer
B. 608
Step-by-step explanation:
38-14=24
24*16=384
14*16=224
384+224=608.
you are welcome!!
The area of the figure is 608 square centimeters.
How to determine the area of the trapezoid?
Given
A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.
Thus,
38-14=24
24*16=384
14*16=224
384+224=608.
Learn more about areas on: https://brainly.com/question/27030227
#SPJ2
Can someone explain this step by step
Answers
Answer:
Step-by-step explanation:
[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]
What is the surface area of this design?
Answers
Answer:
440 inches squared - the last option
Step-by-step explanation:
Step 1. Surface area of top square.
5 x 5 = 25 inches sq
Step 2. Surface area of the 4 sides of the cuboid.
5 x 8 = 40 inches sq
40 x 4 = 160 inches sq
Step 3. Surface area of the large square.
10 x 10 = 100 inches sq
100 - 25 (because it's being covered) = 75 inches sq
Step 4. Surface area of the 4 sides of the large flat cuboid.
2 x 10 = 20 inches sq
20 x 4 = 80 inches sq
Step 5. (OPTIONAL) Surface area of the bottom
10 x 10 = 100 inches sq
Step 6. Add up all.
25 + 160 + 75 + 80 (+ 100 if including the base) = 340
We can conclude that we have to include the base as well because 340 inches sq is not an option listed.
340 + 100 = 440 inches sq
440 inches sq is the last option
Hope this helps :)
Patricia and John both used their credit cards to purchase $225.00 worth of gas and groceries for the month of July.
Patricia paid off her credit card transactions on the same day that she made them, while John did not. They both
received their credit card statements at the same time. Patricia's balance was zero, and she had only paid $225.00 to
the credit card company. However, John had a finance charge of $3.82 added to his balance of $225.00. Explain why
John had a finance charge and Patricia did not. Answer in complete sentences.
Answers
ever figure it out?
i have the same question
Answer:
John didnt pay off his card right away so there was a fee of $3.82
Step-by-step explanation:
How to change miles per hour to feet per second?
Answers
Answer:
1 mph = 1.46666667 fps
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answers
Answer: 54.43
Step-by-step explanation:
381 / 7
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answers
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
Can Someone PLEASE Help ME!
Answers
Answer:
A. 4 Feet 1/2 inches
Step-by-step explanation:
54/12=4.5
Answer:
4 ft 6 inches
Step-by-step explanation:
we know that 12 inches is 1 ft
24 inches is 2 ft
36 inches is 3 ft
48 inches is 4 ft
60 inches is 5 ft
So 4 ft
54 - 48 = 6 left over
4 ft 6 inches
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answers
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10
Answers
Answer:
x + 2y = 10 = x + y = 5
Step-by-step explanation:
x + 2y = 10
divide 2 by 10
x + y = 5
This is all I really know how to do sorry
