[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°
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!! :)
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 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
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?
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)
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
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)
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
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
Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
what is the h.c.f of 18,54 and 72
Answer:
18.......................
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:
find three fraction larger than√2 and less than√3
Step-by-step explanation:
the answer is in the image above
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:
-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
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
There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble
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
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]
_________________________
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:
-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
easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.
Answer:
2:4
3:6
4:8
Step-by-step explanation:
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
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
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.
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°
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
what should the exponent be for 11 am
Answer:
-1
---------------------
Answer:
2nd power is 121
3rd power is 1331
Step-by-step explanation:
LOL
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.
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