Answer:
The answer is in the explaination
Step-by-step explanation:
A + B = 180 degrees
14x - 72 = 180
14x = 108
x = 8
A = 5 times 8 plus 20
A = 60
Answer:
110 degrees.
Step-by-step explanation:
Angle A + Angle B = 180 degrees.
Therefore, 5x+20+9x-92=180
When you solve you get 14x=252 or x=18
When you plug that into A you get 5(18)+20=110
Therefore, A=110 degrees
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?
Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q = [tex]360^{o}[/tex] - [tex]324^{o}[/tex]
= 0[tex]36^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
<P + <Q + <S = [tex]180^{o}[/tex]
048° + 0[tex]36^{o}[/tex] + <S = [tex]180^{o}[/tex]
[tex]84^{o}[/tex] + <S = [tex]180^{o}[/tex]
<S = [tex]180^{o}[/tex] - [tex]84^{o}[/tex]
= [tex]96^{o}[/tex]
<S = [tex]96^{o}[/tex]
Applying the Sine rule,
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin 48^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{y}{0.74314}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ y = [tex]\frac{12.63338}{0.99452}[/tex]
= 12.703
y = 12.70 km
[tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{x}{Sin 36^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{x}{0.58779}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ x = [tex]\frac{9.992430}{0.99452}[/tex]
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
CAN SOMEONE HELP?
Find the value of x?
Answer:
x = 1
Step-by-step explanation:
Δ ABC and Δ DEF are congruent ( SAS postulate )
Thus corresponding sides are congruent that is
BC = EF , substitute values
13x - 12 = 7x - 6 ( subtract 7x from both sides )
6x - 12 = - 6 ( add 12 to both sides )
6x = 6 ( divide both sides by 6 )
x = 1
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Answer:
answers are below
Step-by-step explanation:
1. k = -12
2. x = 14
3. y = -18
4. x = 34/3 or 11.3333333
5. x = -10
6. b = 17
7. x = 1/7
8. y = -2
Hope this heps!! Tell me if you need any explanations :)
Answer:
1. -12
2. 14
3. -18
4. 11 1/3
5. -1 3/5
6. -17
7. 1/7
8. 7 1/3
Step-by-step explanation:
Most of them should be right but sorry if wrong
Juliet has 38 candy bars which She splits among 3 of her cousins. How many candy bars does Juliet have left with her
Answer:
9 remainer 5
Step-by-step explanation:
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
-4.3 -0.43 -0.043 -0.34 -3.4
-4.3, -3.4, -0.43, -0.34, -0.043
-4.3, -0.43, -0.043, -3.4, -0.34
-0.043, -0.43, -0.34, -3.4, -4.3
Answer:
-4.3, -3.4, -0.43, -0.34, -0.043
The Suarez family paid $12.75 for 3 movie tickets. How much would they have paid for 12 tickets?
Answer:
51 dollars
Step-by-step explanation:
4 times 12.75 =51
Answer:
$51
Step-by-step explanation:
Divide 12.75 from 3. It will give you 4.25. That's how much it is for one ticket. Now multiply that by 12. 4.25 x 12 = 51
write the slope intercept form of the line parallel to 7x+y=5 that passes through the point (3,-2)
Answer:
y = -7x + 19
Step-by-step explanation:
What is the correct answer for all?
The Rectangular Coordinate System is also termed as
the French mathematician
who is known as the "Father of Modern
Answer:
René Descartes
Step-by-step explanation:
René Descartes ( March 31, 1596 – February 11, 1650), also known as Cartesius, was a noted French philosopher, mathematician, and scientist. Dubbed the "Founder of Modern Philosophy" and the " Father of Modern Mathematics," he ranks as one of the most important and influential thinkers of modern times.
sami gets £50 for her birthday.She buys a magazine costing £1.95, a bag for £7.50 and a pair of shoes for £24.99.How much does she have left?
Answer:
15.56
Step-by-step explanation:
mark brainliest k ty
Step-by-step explanation:
50 - ( 1.95+ 7.50+ 24.99) =
50 - 34.44 = 15.56
I am like a transformation because
a bakery can make 8 cheesecakes for every 8 blocks of cream cheese which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses
Answer:
d
Step-by-step explanation:
13/26 = x/24 solve for x
PLEASE ANSWER
Answer:
x= 12
Step-by-step explanation:
hope this helps!!
can anyone answer this?
Answer:
Triangle A is congruent to triangle G
Triangle D is congruent to triangle C
Answer:
Triangle A is congruent to Triangle G
Triangle D is cingruent to Triangle C
Step-by-step explanation:
The perimeter of a rectangle in 48 inches. If the length is 3 inches less than twice the width, find the length and width of the rectangle
Answer:
W = 9
L = 15
Step-by-step explanation:
I don't know how I got the answer, I just grabbed a calculator and started punching in numbers till I got what I was looking for.
Click to add text
Combine Like Terms:
6y + 4z + 9x + 3y
Answer:
9y + 4z + 9x
Step-by-step explanation:
2 in.
3 in.
5 in.
3 in.
2 in.
4 in.
4 in.
Area
Answer:
2880 in. Squared i think
Step-by-step explanation:
please help meeee!!!!
Answer:
I think it is 7x+5y=40. Tell me if I'm right because don't think I am.
Step-by-step explanation:
A contractor hires 4 workers for a construction project. Each worker is paid $12 per hour. The contractor also buys 20 cubic yards of concrete for the project, at a price of $160 per cubic yard. Which equation best describes the contractor’s total cost, C, if the project takes h hours to complete?
C = (4 x 12)h + (20 x 160)
C = 4(12 + 160)h + 20
C = (20 x 160)h + (4 x 12)
C = 12h + (20 x 160)
Answer:
The answer is C.
Step-by-step explanation:
4 x 12 is how much money per worker per hour. 20 x 160 is how much the cost for the concrete. Adding them gets you the total cost.
Hope this helped!
The equation that can be used to describe the contractor’s total cost, C, if the project takes h hours to complete is C = (4 × 12)h + (20 + 160)
Given:
Number of workers = 4
Earnings of each work = $12
Yards of concrete = 20 cubic yards
Cost per cubic yards = $160
let
C = total cost
h = number of hours needed to complete the project
C = (Number of workers + Earnings of each work)number of hours + (Yards of concrete + Cost per cubic yards)
C = (4 × 12)h + (20 + 160)
Therefore, the equation that can be used to describe the contractor’s total cost, C, if the project takes h hours to complete is C = (4 × 12)h + (20 + 160)
Learn more about equation:
https://brainly.com/question/4563555
which pairs of polygons are congruent?
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
-1.3
0.4
-1/3
5/9
Answer:
The numbers in increasing order are:
-1.3, -0.33, 0.4, 0.55
Step-by-step explanation:
We have numbers:
-1.3,0.4,-1/3,5/9
We need to arrange in increasing order.
First convert fractions into decimals.
-1/3 = -0.33
5/9 = 0.55
We have numbers: -1.3, 0.4, -0.33, 0.55
Arranging numbers in increasing order we arrange them form smallest to largest.
The numbers in increasing order are:
-1.3, -0.33, 0.4, 0.55
I need help please just give me the answer ..
Answer:
5x+10y+5z
Step-by-step explanation:
Do you know the answer??
Answer:
The war provided Great Britain enormous territorial gains in North America, but disputes over subsequent frontier policy and paying the war's expenses led to colonial discontent, and ultimately to the American Revolution.
Step-by-step explanation:
An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup?
Answer:
10 lStep-by-step explanation:
40 l of 60% sugar syrup becomes 40 l of 45% sugar syrup if x l is drained and replaced with distilled water. Sugar content is then:
(40 - x)*0.6 = 40*0.4524 - 0.6x = 180.6x = 24 - 180.6x = 6x = 6/0.6x = 10 l10 liters solution was replaced with distilled water
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
can someone please help im big dum!?
Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true?
A) This triangle exists because the sum of any two side lengths is greater than the length of the third side.
B) This triangle exists because the sum of 4 and 12 is less than 17.
C) This triangle does not exist because the sum of any two side lengths is greater than the length of the third side.
D) This triangle does not exist because the sum of 4 and 12 is less than 17.
Answer:
1st answer is correct yourwelcome
Answer: D. This triangle does not exist because the sum of 4 and 12 is less than 17
Step-by-step explanation:
Edge
Can someone help ? -x-3y=-3 and x-6y= -24
Nita processed the odd number 4575 as follows. She found that the result was an odd number.
Which of the following could be the values of x and y she used in the process? (Note: You need not actually calculate for all the options. Think whether x and y should be odd or even numbers .
With explanation pls
Answer:
c
Step-by-step explanation:
cwvw
2/7+x=17/5
please solve this
Step-by-step explanation:
x=17/5 - 2/7
LCM is 7*5=35
x= (17*7-2*5)/35=109/35
PLS HELP ME I’VE ASKED THIS TWICE AND NOBODY HAD ANSWER THIS IS REALLY EASY TO DO
I HAVE THE ANSWER I JUST NEED TO SHOW THE WORK. PLS HELP MEEEE!!!
The answer is x = 9
Answer:
Step-by-step explanation:
All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:
20+6x+16+90=180
add stuff
6x+126=180
subtract 126 from both sides
6x=54
divide 6 from both sides
x=9