[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
3x-5y-7=0
X=2k-1.
Y=k
Answer:
x = 19
y = 10
Step-by-step explanation:
3x - 5y - 7 = 0
x = 2k - 1
y = k
3x - 5y = 7
x = 2y - 1
3 * (2y - 1) - 5y = 7
6y - 3 - 5y = 7
6y - 5y = 10
y = 10
x = 2 * 10 - 1
x = 19
Solve for y
A 3
B 5
C 2
D 4
Answer:
y = 4
Step-by-step explanation:
The three lines means those segments are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide each side by 4
4y/4 = 16/4
y = 4
Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answer:
b
Step-by-step explanation:
edge2020
Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.
Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
Formula we have to know:-[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]
Where
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time
[tex]\textsf{ \underline{Solution-}}\\[/tex]
Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]
Substituting the given values
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]
[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]
[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Hence,
The sum (Principle) is Rs.4000.
In order to save for a new computer and printer, Joseph has a summer job working at the marina where he earns $8.50 per hour. His weekly earnings are listed in the table below
The computer he wants costs $1575, and the printer costs $225. Joseph has to earn at least how much more money, m, in order to be able to afford the computer and printer?
pLsSsS hElP mE. iM dYiNg HeRe
Answer:
1. True
2. False
3. False
4. True
5. False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1- False
2- true
3- false
4- true
5- true
3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the
customers preferred. The results are shown in the table. Find the probability of randomly
selecting a customer who prefers the Pretty Pink shade, given they are among the group of 30-
year-olds?
Answer:
.440
Step-by-step explanation:
Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.
What is the probability of a Pretty Pink preference in 30 - 39?This can be found as:
= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed
Solving gives:
= 22 / (28 + 22)
= 22 / 50
= 0.440
Find out more on probability at https://brainly.com/question/24277936.
#SPJ6
Solve for x
33=x/2+15
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Therefore, [tex]x = 36[/tex].
To check your answer, apply 36 to where [tex]x[/tex] is.
[tex]33=\frac{36}{2} +15[/tex]
⇒ [tex]33=18+15[/tex]
[tex]18+15=33[/tex] ☑
Answer:
[tex]\boxed{\sf x=36}[/tex]
Step-by-step explanation:
[tex]\sf 33=\cfrac{x}{2}+15[/tex]
[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]
[tex]\sf 66=x+30[/tex]
Swap sides so that all the variable terms are on the left hand side:
[tex]\sf x+30=66[/tex]
[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]
[tex]\sf x=66-30[/tex]
[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]
[tex]\sf x=36[/tex]
_________________________
The points A, B and C in 3D space are such that:
• AB = 10mm, AC = 17mm and BC = 28mm.
• The angle of elevation from A to B is 20°.
• The angle of elevation from A to C is 55°.
Find the angle of elevation from B to C, to the nearest degree.
Answer:
Angle of elevation= 180- (20- 55)
180- 75
105°
I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*
Answer:
You will need 32 ounces
Step-by-step explanation:
2 pounds x 16 = 32 ounces
300 cal / 3 oz = x / 32 oz
(300 * 32) / 3 = 3,200 calories
easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.
Answer:
2:4
3:6
4:8
Step-by-step explanation:
If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?
Answer:
8.6 meters
Step-by-step explanation:
a² + b² = c² means leg² + leg² = hypotenuse ²
5² + 7² = hypotenuse²
25 + 49 = hypotenuse²
74 = hypotenuse ²
[tex]\sqrt{74}[/tex] = hypotenuse
8.6 = hypotenuse
Fill in the missing numbers to complete the division problem.Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:
Answer:
6
Step-by-step explanation:
why because when you work this out 6,957÷7 your answer will be 993.8571...
so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957
Please help omg , this is so confusing and stressful if you do help I LOVE YOU
Answer:
20
40
60
80
Step-by-step explanation:
The ratios have to be equal so:
1/3 = x/60 Then use cross multiplication
3x = 60
x = 20
Second one
1/3 = x/120
3x = 120
x = 40
Third One
1/3 = x/180
3x = 180
x = 60
Fourth One
1/3 = x/240
3x = 240
x = 80
Help me please help help help help
Answer:
area of trapezium:
a+b divided by 2, times by the height.
so its 8+20=28.
28/2=14.
14*14=196.
area=196
Step-by-step explanation:
Can I get steps on how to solve this?
Answer:divided the total buy 9 and if I’m reading correctly the total is two
Step-by-step explanation:
what is the h.c.f of 18,54 and 72
Answer:
18.......................
The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?
A. 12
B. 21
C. 9
D. 3
E. 15
D.
Explanationbecause the number have 3
Step-by-step explanation:
A+B+C = 30
A = 4C
B = A+3
=> 4C+4C+3+C = 30
9C + 3 = 30
9C = 30-3
9C = 27
C = 3
Therefore, the age of Cindy is 3 years old
(option D)
what is the x intercept to x+4y=8
Answer:
The x-intercept is 8.
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x
x + 4y = 8
x + 4(0) = 8
x + 0 = 8
x = 8 The x-intercept is 8
find three fraction larger than√2 and less than√3
Step-by-step explanation:
the answer is in the image above
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
The function is increasing where the slope is positive. The slope is positive from 4 to infinity.
Hope this helps!! :)
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!
Answer:
£22.8
Step-by-step explanation:
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.
First, find
40% of £38
=£15.2
Then, find the price of which he sold the video game for...
£38 – £15.2
= £22.8
Hope this helped you- have a good day bro cya)
-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line
Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
what is this number in standard form:
(3 x 100)+(1 x 1/10)+(4x 1/1,000)
?????????????
pls help
Answer:
300.104
Step-by-step explanation:
3x100=300
1x(1/10)=0.1
4x(1/1,000)=0.004
300+0.1+0.004=300.104
-5-3x>2(10+2x)+3
help
Answer:
x < - 4
Step-by-step explanation:
- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side
- 5 - 3x > 20 + 4x + 3
- 5 - 3x > 4x + 23 ( add 3x to both sides )
- 5 > 7x + 23 ( subtract 23 from both sides )
- 28 > 7x ( divide both sides by 7 )
- 4 > x , that is
x < - 4
Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.
Answer:
Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75
Step-by-step explanation:
factor completely x^2-4
Answer:
(x + 2) (x - 2)
Step-by-step explanation:
Given the quadratic expression, x² - 4:
Use the Difference of squares factoring formula:
u² - v² = (u + v)(u - v)
Determine what are possible factors that could have a product of -4:
Since -2 × 2 = -4, these can be used as factors.
Therefore, the factors of the quadratic expression, x² - 4 are:
(x + 2) (x - 2)
what should the exponent be for 11 am
Answer:
-1
---------------------
Answer:
2nd power is 121
3rd power is 1331
Step-by-step explanation:
LOL
There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble