Answers
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
Alternative working:
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Related Questions
how do I solve for x for number 4
Answers
Answer: 20.8
Step-by-step explanation:
Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]
Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
Answers
Answer:
A
Step-by-step explanation:
The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
What are equivalent expressions?Equivalent expressions are expressions that have equal values, when compared
The expression is given as:
[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]
Take LCM
[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]
Express the quotient as products
[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]
Evaluate the product
[tex]\frac {2y - 4x}{5x + 3y}[/tex]
Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Please help! I need this as soon as possible!
Answers
Answer:
1. 136°
2. 36°
3. 136°
4. 36°
5. 136°
6. 36°
7. 136°
8. 44°
Step-by-step explanation:
i don't know english very well so i don't knoe what transplant is but i think i got it right with my logic
Answer:
m∠1 = 136°
m∠2 = 44°
m∠3 = 136°
m∠4 = 44°
m∠5 = 136°
m∠6 = 44°
m∠7 = 136°
Step-by-step explanation:
Corresponding angles, like m∠1 and m∠5, need to equal each other.
m∠1 and m∠3 are the same
m∠3 and m∠2 need to be added together to equal 180
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
21
Step-by-step explanation:
Answer: Our required answer is 11(2c+3d)
Step-by-step explanation:
Since we have given that
22c + 33d.
We have to use "Distributive property" to factor out the greatest common factor.
Since we know that 11 is the greatest common factor of 22 and 33.
So, it becomes,11(2c+3d)
Hence, our required answer is 11(2c+3d)
3. A store clerk sold 60 pairs of sneakers. The
high-tops sold for $98.99 and the low-tops sold for
$129.99. If the receipts for the two types of sales
totaled $6,404.40, how many of each type of sneaker
were sold?
Answers
Answer:
High top pairs- 45
Low top pairs- 15
Step-by-step explanation:
need answers ASAP if you can help! Please and Thankyou
Answers
Answer:
X = 78, Z = 29, and Y = 102
Step-by-step explanation:
X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.
Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.
Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.
Hope that helps!
Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
Answers
Answer:
3.66meters long
Step-by-step explanation:
since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long
pls help me 10 points
Answers
Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
Find the value of x. Write your answer in simplest form.
Answers
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
I need help!! 100 points! Please don't scam, I will report and take away these points!
Answers
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
If 9x83=747 then 747+9+83=?
Answers
Answer:
747+9+83=839
Step-by-step explanation:
We can use 9x83=747 as a extra help to get the answer. Say you need the answer above (which I gave you) so you get 9x83 as an example to help figure out 749+9+83=839.
The radius of each tire on Carson's dirt bike is 10 inches. The distance from his house to the corner of his street is 157 feet. How many times will the bike tire turn when he rolls his bike from his house to the corner? Use 3.14 to approximate π.
Answers
Answer:
30
Step-by-step explanation:
the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units
1 feet = 12 inches
157 x 12 = 1884
circumference of a circle = 2nr
2 x 3.14 x 10 = 62.8 in
Number of revolutions = 1884/62.8 = 30
pls hepl pls pls pls XD
Answers
Answer:
bsdqư
Step-by-step explanation:
Identify the range of the function shown in the graph.
Answers
Answer:
-3 < x < 3
Step-by-step explanation:
Eva has a coupon for an oil change with synthetic oil for $59.95. She can buy 5 quarts of synthetic oil, which is what her car needs, for $26.54 and an oil filter for $6.47. How much can she save by doing the oil change herself?
$79.22
$139.17
$59.95
$32.92
$26.94
Answers
Answer:
$26.94
.................
please help ASAP... here is a question WRITE 894 290 000 IN SCIENTIFIC NOTATION
Answers
Answer:
hey there, the answer is 8.9429 × 10^8
Answer:
8.9429 × 10^8
Step-by-step explanation:
ya the answer is 8.9429 × 10^8
PROBLEM: The parent function f(x) = √x is compressed vertically by a factor of 1/4, translated left 1 and up 2 units. Write the square root function g(x)
(PLEASE SHOW WORK)
(IF YOU TROLL I WILL REPORT)
Answers
sqrt(x+1)/4+2
The /4 compresses the graph vertically by a factor of 1/4, the +2 moves the graph up by 2 units, and the +1 inside the radical moves the graph to the left by1 unit.
I hope this helps. Have a nice day!
Translation
1 units left
y=√x+1Compression of 1/4
y=1/4√x+1Up 2 units.
y=1/4√x+1 +2Nate scored a 990 on his first autempton
the SAT and a 1140 on his second attempt
Percent of change classify as a percent increase or decrease
Answers
Answer:
It was a percentage increase of 15.15%
Step-by-step explanation:
1140 is greater than 990, so it is an increase in scores
Percentage increase = (change in score / first score) x 100
change in score = second score - first score
1140 - 990 = 150
(150 / 990) x 100 = 15.15%
PLEASEEEEE HELP
You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
cost of the game?
Answers
plssss help meeee it's due today
Answers
Answer: use math papa.com
Step-by-step explanation:
Find the difference. Type your answer in standard form
[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]
HELP a map has a scale of 1 cm 35 feet use the map distance to find the actual distance
Answers
Answer:
Step-by-step explanation:
13. 35ft * 6cm = 210
14. 35ft * 3.2cm = 112
Find the total surface of this cuboid
5
4
6
Answers
Given:
Consider the dimensions of the cuboid are 5 by 4 by 6.
To find:
The total surface of the cuboid.
Solution:
The total surface area of a cuboid is:
[tex]Area=2(lb+bh+hl)[/tex]
Where, l is length, w is width and h is the height.
Substituting l=5, b=4 and h=6, we get
[tex]Area=2(5\times 4+4\times 6+6\times 5)[/tex]
[tex]Area=2(20+24+30)[/tex]
[tex]Area=2(74)[/tex]
[tex]Area=148[/tex]
Therefore, the total surface area of the cuboid is 148 sq. units.
A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?
Answers
Please help and tell me how u got it
Answers
Answer:
(5, 27)
Step-by-step explanation:
-3(x^2 - 10x + 16) [Expand the equation using the FOIL method]
-3(x^2 - 10x) - 48 [Move the 16 outside of the parenthesis (16 * - 3 = -48]
-3(x^2 - 10x + 25) +75 - 48 [Complete the square]
-3(x-5)^2 + 27 [Simplify. The equation is now in vertex form.]
please help!!! will mark brainliest
Answers
Answer:
2nd one I believe
Step-by-step explanation:
How many solution does this equation have -5j = -6j - 4
Answers
Answer:
1
Step-by-step explanation:
All variable terms are to the first power. You can prove this by solving:
-5j = -6j - 4
4 = -1j
j = -4 (One answer)
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answers
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
Find the interest for a six-year CD for $5000 at an interest rate of 4%, compounded annually.
Answers
Answer:
18
Step-by-step explanation:
180X10=1800
1800/100=18
Does anyone know how to do this?
Answers
Answer:
D
Step-by-step explanation:
The question:
10^4= 10000
4^10=1048576
1048576x10000= 10485760000
4^5= 1024
10485760000/1024= 10240000
A. 262144 (NO)
B. 2.62144e+14 (NO)
C. 10000x1073741824= 1.0737418e+13 (NO)
D. 10000x1024= 10240000 (YES)
Hope this helps ^^
ill give brainlist who ever get this right
Answers
Answer:
The answer is 1086 in³
Step-by-step explanation: