[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°
Jason deposits $1500 in an account that earns 6% interest compounded monthly. How much will Jason have after 10 years?
Compound interest formula:
Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)
Total = 1500(1 + 0.06/12) ^ (12 x 10)
Answer: $2,729.10
A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?
Answer:
She is buying 7 bottles and 15 canvases of paint
Step-by-step explanation:
Answer:
7 bottles of paint and 15 canvases
Step-by-step explanation:
I'm letting x stand for the number of bottles of paint and y stand for the number of canvases
1.29x+1.89y=37.38
and y=x+8
Since the y value is isolated I can just substitute the right side of the y= equation into the original like so
1.29x+1.89(x+8)=37.38
I then distributed the 1.89 to each of the terms in the parentheses
1.29x+1.89x+15.12=37.38
I then combined like terms to get
3.18x+15.12=37.38
Then you subtract 15.12 from both sides to get
3.18x=22.26
and last we divide both sides by 3.18 to get
x=7
Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get
y=7+8
y=15
Don't forget the labels you gave each variable earlier in the problem when answering!
Graph this equation on the coordinate plane.
y=−2x+4
Select two points on the line to graph the line.
Answer:
(0,4) and (1,2)
Step-by-step explanation:
The standard equation of a straight line is given as y = mx + b
m is the slopeb is the y-inteceptGiven the equation y = -2x + 4
The slope is -2 and the intercept is 4.Is x = 0, then;
y = -2(0) + 4
y = 4
One of the point on the graph is (0,4)
If x = 1, then;
y = -2(1) + 4
y = -2 + 4
y = 2
Hence the second point is (1, 2)
Learn more on equation of a line here: https://brainly.com/question/19417700
Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.
Answer:
75 + 12d
Step-by-step explanation:
he pays $75 dollars up front. he then pays a rate of $12 per day
Direction: the indicated operation reduce the answer to lowest terms whenever possible.
1. 11/12 - 5/12 = ?
2. 6 ½ - 1 9/10 =?
3. 5 ¾ + 9 1/6 =?
4. 7 2/8 - 4 5/6 = ?
5. 5 1/3 - 1 4/5 = ?
6. 7 ¾ - 5 ½ = ?
7. 5/8 - 3/8 = ?
8. 7/15 + 8/15 + 2/15 = ?
9. ¾ + ½ + 2/8 = ?
10. 9/10 - 2/5 = ?
PLEASE HELP NOW
MATHEMATICS
Answer:
1/24 3/5 14 11/122 5/ 123 8/ 152 1/ 41/ 41 2/ 151 1/ 21/ 2A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?
LOL LAST 1 IM SORRY AHHHH !!!!
Answer:
102
Step-by-step explanation:
Answer:
Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.
Step-by-step explanation:
180- 102 - 30= 48 degrees
180 - 48 = 132 degrees
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles
Answer:
Second and fourth pairs of rectangle are similar.
3. What is the slope of the given graph?
y =
Answer:
1/2
Step-by-step explanation:
Remember rise over run (rise/run). Rise is the movement in the y axis and run is the movement within the x axsis.
Choose the grid reference number for the mine shown.
A. 631226
B. 126362
Answer:
631226
Step-by-step explanation:
The grid reference number for the mine shown is (63.35, 12.7).
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given grid,
The reference point is (63.35, 12.7)
Therefore, the grid reference number for the mine shown is (63.35, 12.7).
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
#SPJ2
What is the least common denominator (lcd) of 1/2 2/3
Answer:
6
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
Please help It really important
A
the domain is the x-axis number soooo
70 minutes for 24 songs
=
[blank] minutes for 12 songs
Answer:
35
Step-by-step explanation:
70 minutes for 24 songs
70/2 minutes for 24/2 songs
35 minutes for 12 songs.
Answer:
35 minutes for 12 songs
Step-by-step explanation:
hope this helps
Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45
Answer:
Together, Jill and Sam read 36 pages.
Step-by-step explanation:
9 + (9 * 3)
9 + 27
36
Answer:
27
9x3 is 9+9+9 then its 27
suppose the cost of a speeding ticket where the speed is 65 miles per hour is:
Answer:
A
Step-by-step explanation:
Solve for x
please give an explanation
[tex]293 {8}^{?} \sqrt{96} [/tex]
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
What is the value of 6(9+2)/h when g = 6 and h = 4?
Answer: 12
Plug 6 and 4 into the problem-
6(6 + 2)/4
6(8)/4
48/4 = 12
Hey there!
6(g + 2) / h
= 6(6 + 2) / 4
= 6(8) / 4
= 8(6) / 4
= 8 + 8 + 8 + 8 + 8 + 8 / 4
= 16 + 16 + 16 / 4
= 32 + 16 / 4
= 48 / 4
= 48 ÷ 4 / 4 ÷ 4
= 12 / 1
= 12 ÷ 1
= 12
Therefore, your answer is: 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Guys pls help me!!!!!
SOMEONE HELP WITH THIS PLEASE!!
Answer:
Step-by-step explanation:
you just have to evaluate the expression and then solve it
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?
Answer:
35/2
Step-by-step explanation:
y ~ x
y=ky
7=2k
k=7/2
y=(7/2) × 5
y=35/2
plsss help me with this:(((
Answer:
First we need our slope equation
Y₂-Y₁/X₂-X₁
So we have our equation now lets plug it in
-9+2/-4-3 (we make it a plus for -9+2 because the two minuses cancel out).
So now we have -7/-7 which is 1 because -7 divided by itself is one. Thereby your answer is A. 1
Same thing for question 12
1-5/2-4
-4/-2 which is 2 because -2 goes into -4 two times so your answer is A. 2
cherie left at 7:10 to drive to her aunts house her aunts lives 339 miles away she arrived at 12:55 how long did it take cherie to drive to her aunt house
Answer:
17hrs 45mins
Step-by-step explanation:
Timespan is 17 hour(s) and 45 minute(s).
PLEASE HELP ILL MARK BRAILIEST!!!!!
Answer:
(-6,2)
Step-by-step explanation:
Answer:
y=4/5x-17/5
Step-by-step explanation:
Hope this helps!
The second picture is the same as the picture you have thus the equation is correct
solve an equation to find the value of x
Answer:
(7+x)°=180-130
x=50-7
x=43
what is 27506 to the nearest 1000
Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?
If necessary, round your answer to the nearest whole number.
9514 1404 393
Answer:
567
Step-by-step explanation:
The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...
900(0.95^9) ≈ 567
About 567 voters are expected to vote 9 years from now.
Ivan rented a truck for one day. There was a base fee of $18.99 , and there was an additional charge of 91 cents for each mile driven. Ivan had to pay $151.85 when he returned the truck. For how many miles did he drive the truck?
Answer:
146 miles
Step-by-step explanation:
hope this is correct
Mary finds 8 pine cones on a walk. She finds 3 more pine cones than bobby finds. How many pine cones does bobby find?
#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!
Answer:
x = 2
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
7x² = 28 ( divide both sides by 7 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
