Question 2. In the given figure find the value of x in each angle of a triangle.

Very very important Plz.​

Question 2. In The Given Figure Find The Value Of X In Each Angle Of A Triangle.Very Very Important Plz.

Answers

Answer 1

Step-by-step explanation:

[tex]\sf\pink{Given}[/tex]

Angle A is ( x + 10 )

Angle B is ( 3x + 5 )

Angle C is ( 2x + 15 )

[tex]\sf\pink{To\: Find}[/tex]

Value of "x" is ?

Explanation :

Rule :

Sum of all angles of a triangle is 180°

Therefore ,

[tex]\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }[/tex]

[tex]\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{6x + 30 = 180 }[/tex]

[tex]\longrightarrow\bf{6x = 180 - 30 }[/tex]

[tex]\longrightarrow\bf{6x = 150 }[/tex]

[tex]\longrightarrow\bf{x = \dfrac{150}{6}}[/tex]

[tex]\longrightarrow\bf\pink{x = 25}[/tex]

Therefore value of x is 25 .

Now, finding the the measure of each angle by putting the value of "x" in their places.

∠A = (x + 10)° => (25 + 10)° => 35°

∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°

∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°


Related Questions

Solve 5/(r-9)=8/(r+5)

Answers

Answer:

r = 32 1/3

Step-by-step explanation:

5/(r-9) = 8/(r+5)

cross multiply:

5 x (r + 5) = 8 x ( r - 9)

5r + 25 = 8r - 72

Add 72 to both sides:

5r + 97 = 8r

Subtract 5r from both sides

97 = 3r

Divide both sides by 3

r = 32 1/3

-Chetan K

Answer:

r = 32 1/3 or 97/3

Step-by-step explanation:

Step 1: Cross-multiply.

[tex]5*(r+5)=8*(r-9)[/tex] [tex]5r + 25 = 8r - 72[/tex]

Step 2: Subtract 8r from both sides.

[tex]5r + 25 - 8r = 8r - 72 - 8r[/tex] [tex]-3r +25=-72[/tex]

Step 3: Subtract 25 from both sides.

[tex]-3r + 25 - 25 = -72 - 25[/tex] [tex]-3r = -97[/tex]

Step 4: Divide both sides by -3.

[tex]\frac{-3r}{-3}=\frac{-97}{-3}[/tex] [tex]r=\frac{97}{3}[/tex] [tex]r = 32\frac{1}{3}[/tex]

Therefore, r = 32 1/3 or 97/3.

Hshshjsjsjsjsjsjjsjs

Answers

Answer:

3 ÷ 8

Step-by-step explanation:

1. A fraction has two parts: a numerator and a denominator. The numerator is the dividend (the number that is to be divided by the divisor), and the denominator is the divisor (the number that is divided into the dividend).

2. Given the information above, we know that 3 is the numerator, and 8 is the denominator. This means 3 ÷ 8 = 3/8.

You are paid $82.50 for 7 1/2 hours of work. What is your rate of pay

Answers

Answer:

$11 per hour

Step-by-step explanation:

Answer:

$11 per hour

I divided 82.5 by 7.5 and got 11.

6. How high must a crate be in order to hold 120 cubic meters if it has a base area of 24 square meters?​

Answers

Answer:

height = 5 m

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = Ah ( A is area of base and h the height )

Here V = 120 and A = 24 , then

24h = 120 ( divide both sides by 24 )

h = 5

The height of the crate is 5 m

It must be at least 5 meters.

Sam completed the square for the quadratic equation y=1/2x^2−2x+3 in order to determine the minimum value of the equation, as shown.

Answers

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

You can just use the formula [tex]x=-\frac{b}{2a}[/tex]:

[tex]y=ax^2+bx+c[/tex]

[tex]y=\frac{1}{2}x^2-2x+3[/tex]

[tex]x=-\frac{-2}{2(\frac{1}{2})}=\frac{2}{1}=2[/tex]

[tex]y=\frac{1}{2}(2)^2-2(2)+3=\frac{1}{2}(4)-4+3=2-4+3=-2+3=1[/tex]

Therefore, the minimum value of the equation is [tex](2,1)[/tex]

Express the ratio as a fraction in simplest form. 10 yards to 10 feet

Answers

Answer:

30

Step-by-step explanation:

3 feet per yard, therefore 10 yards= 30 feet

Angles A and B are supplementary. If mA = 67, find mB.

Pleas show work!

Answers

Answer:

mB = 113 degrees

Step-by-step explanation:

180 - 67 = 113

Answer:

mB=113

Step-by-step explanation:

mA=67

Triangles are 180 with all angles added together.

To find mB subtract mA with 180.

180 - 67 = 113

mB=113

100 points and brainliest to the first correct answer
I've done the work but I need to know what my new coordinates will be

Here's the question
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A(-2, -4), B(0, 0), and C(1, -3), find the coordinates of the new triangle A’B’C’ . You must show all your work.

And then here is the answer:
You’re going to go left side three points and down five for every point on the graph (ABC) and once you do that label the ABC marks with an apostrophe like so; A’B’C’ for every time you change places

Answers

Answer:

A'(1, -9), B'(3, -5), C'(4, -8)

Step-by-step explanation:

Use the given rule and find the coordinates as follows:

(x, y) → (x + 3, y - 5)A(-2, -4) → A'(-2 + 3, -4 - 5) = A'(1, -9)B(0, 0) → B'(0 + 3, 0 - 5) = B'(3, -5)C(1, -3) → C'(1 + 3, -3 - 5) = C'(4, - 8)

The points are plotted, see the attached.

Answer:

Before I start, wouldn't you go right three times since it's x + 3 not x - 3. Id.k maybe I'm just slow.

Anyways, take your current points which are A(-2,-4), B(0,0), and C(1,-3) and apply the new mapping rule to them. For example: (-2 + 3, -4 -5), and that will give you A' (1,-9). If you do the same to the other two, you'd have B' (3,-5) and C' (4,-8).

I graphed A, B, C, and A', B', C' above for you.⤴⤴

Hope the graph makes sense, good luck :)

I rlly need help im failing in math out report cards are Wednesday on top of that my birthday is October 25 help me please

Answers

Answer:

Number 4 is -5 I believe

Heather wants to make a 36% acid solution.
She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?

Answers

Answer:

.72x + .27 = .36(x + 3)

Write the equation of the line that passes through the points (3,1) and (-2,6)

Answers

[tex]slope = y2 - y1 \div x2 - x1[/tex]

[tex]6 - 1 \div - 2 - 3[/tex]

[tex]5 \div - 5 [/tex]

[tex] - 1[/tex]

[tex]y = mx + c[/tex]

[tex]1 = - 1 \times 3 + c[/tex]

[tex]1 = - 3 + c[/tex]

[tex]1 + 3 = c[/tex]

[tex]c = 4[/tex]

[tex]y = - 1x + 4[/tex]

[tex]y = - x + 4[/tex]

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 15,6m

x² = 12² + 10²

x² = (12 × 12) + (10 × 10)

x² = 144 + 100

x² = 244

x = √244

x = 15,6 m

7.

Which expression is equivalent to 2r(2.5s + 10) - 3(r + 4) + s(r - 1)?

A. 6rs + 23r - 13

B

6rs + 17r - 13

С

6rs + 23r + S + 12

D

6rs + 17r - S - 12

Answers

D is the correct answer. Here’s my work to confirm it.

when 7 is added to 3 times a number, the sum is multiplied by 2 and 15 is subtracted what is the final answer

Answers

Answer:

2(3x+7) -15

Step-by-step explanation:

Let x = unknown number

7 is added to 3 times a number

3x+7

Multiply the sum by 2

2(3x+7)

Subtract 15

2(3x+7) -15

Answer:

Let the required number be " x "

Now, 7 is added to 3 times a number : (3x + 7)

Next, the sum is multiplied by 2 : 2(3x + 7)

And then, 15 is substracted from it : 2(3x + 7) - 15

2(3x + 7) - 15 is the final answer.

Plot the points (-3, 4) (4, 4) on the coordinate plane below.
What is the distance between these two points.

Answers

Answer:

the distance is 7 units

Step-by-step explanation:

pls mark me brainliest :))

(-7x) + 5
x= -8

Evaluate the expression

Answers

Answer:

61

Step-by-step explanation:

(-7x)+5

Let x = -8

-7*(-8) +5

56+5

61

Answer:

61

Step-by-step explanation:

Here you are just substituting for x.

Since x = -8  we just plug that into the expression.

-7x + 5

-7(-8) + 5

56 + 5

= 61

Hiiii!!!! Can you solve this please?​

Answers

I think the answer is 32 maybe

Solution:

The area of the shape

= (3×2)+(3×2)+(10×1)

= 6 + 6 +10

= 22

The answer is 22.

Find the distance between the pair of points.
​(19​,−8​) and ​(−14​,−23​)

Answers

Answer:

36.25 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points ​(19​,−8​) and ​(−14​,−23​):

[tex]d=\sqrt{(19-(-14))^2+(-8-(-23))^2}\\d=\sqrt{(19+14)^2+(-8+23)^2}\\d=\sqrt{(33)^2+(15)^2}\\d=\sqrt{1089+225}\\d=\sqrt{1314}\\d=36.25[/tex]

Therefore, the distance between the points is approximately 36.25 units.

I hope this helps!

Answer:36.25

Step-by-step explanation:distance between (x1, y1) and (x2,y2) is square root of (x2-x1)^2 + (y2-y1)^2. think of graph the distance between two points is the hypotenuse of a right angle triangle where the height is the difference of y and base is the difference of x

= square root of (19+14)^2 +(-23+8)^2= 36.25

help with this question

Answers

Answer:

B Possibly?

Step-by-step explanation:

The sequence 2, 9, 20, 35, … is illustrated in the art below. What is the 50th term of this sequence?

Answers

Answer:

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

Need help ASAP!!!! 50 points

Answers

f(121)=11-121/121=11-1=10

Help me someone please i will give brainliest and 5 stars and a thanks :)

Answers

Answer:

a

Step-by-step explanation:

Answer:

b. 81

d. 144

Step-by-step explanation:

A perfect square is an integer whose square root is also an integer.

I WILL MARK BRAINLIEST, NO FAKE ANSWERS

Answers

1- 60times1
2- 5 days

Follow the steps in purple to evaluate:
4
+
9
To add or subtract fractions, their denominators
must be the same. We can get a common
denominator by multiplying the second fraction
by 3/3.
6
-
(-}).
What number belongs in the green box?
Enter

Answers

I think it is 3 but I’m not 100%

Solve for x: -3x + 3 < 6 (1 point)
O x <-3
0x<-1
х
O x>-1
Ox>-3
X >

Answers

Answer:

x > -1

Step-by-step explanation:

-3x + 3 < 6

-3(-1) + 3 < 6

Please let me know if im incorrect

please help im tired and i don't wanna fail it's important

Options:
A) there are no points located on the x - axis
B) B
C) C
D) D
E) E

Answers

Answer:

D

Step-by-step explanation:

The x-axis is the horizontal line. Therefore D is directly on the line, making it on the x axis.

will mark as brainliest plz help​

Answers

Answer:

cccccccccccccccccccccccc

C po ata

Explanation:
Not sure

Last
year at a certain high school, there were 60 boys on the honor roll and 130 girls
on the honor roll. This year, the number of boys on the honor roll increased by 5%
and the number of girls on the honor roll increased by 20%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).

Answers

Answer:

15.3%

Step-by-step explanation:

60x.05 = 3 boys

130x.20 = 26 girls

3+26 = 29 students

60+130 = 190 total students

(29/190)*100 = 15.3%

What are the values of t and u?

Answers

Answer:

t=44°

U=92°

Step-by-step explanation:

V=W=44°

U=180-(44×2):92°

[tex]\huge\bold\red{{HELP}}[/tex]
Please answer it correctly With solution.​

Answers

Step-by-step explanation:

[tex] \frac{ {a} + 4 }{ {a}^{2} + 7a + 10} \times \frac{ {a}^{2} + 6a + 5}{ {a}^{2} + 5a + 4 } \\ = \frac{ {a} + 4 }{ (a + 2)(a + 5)} \times \frac{(a + 5)(a + 1)}{(a + 4)(a + 1)} \\ = \frac{1}{a + 2}\\\\ \frac{9m-4}{8}+\frac{3m+8}{8} \\=\frac{12m+4}{8}\\=\frac{3m-1}{2}\\\\\frac{4{x}^{2}}{2x-7}-\frac{49}{2x-7}\\=\frac{4{x}^{2}-49}{2x-7}\\=\frac{(2x-7)(2x+7)}{2x-7}\\=(2x+7)[/tex]

Please find attached photograph for your answer.

Hope it helps and sorry for delay.

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