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3 years ago

What is the value of y?

Mathematics

1 answer:

solong [7]3 years ago

8 0

Sum of interior angles in a triangle = 180
so
2y + y+10 + 50 = 180
3y + 60 = 180
3y = 120
y = 40

Answer is A. 40

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When measuring the length a and the width b of a rectangle, it was found that 5.4< a< 5.5 and 3.6< b< 3.7 (in centim

leva [86]

Answer:

The possible values of the perimeter of the rectangle is between 18 and

18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the length of its

four sides

- The rectangle is a quadrilateral with each two opposite sides are

equal in lengths, then its perimeter = 2l + 2w, where l, w are its

length and width

∵ The the length of the rectangle is a

∵ 5.4 < a < 5.5 cm

∵ The perimeter of the rectangle = 2a + 2b

- Lets multiply the inequality by 2

∴ 5.4 × 2 < a × 2 < 5.5 × 2

∴ 10.8 < 2a < 11 ⇒ (1)

∵ The width of the rectangle is b

∵ 3.6 < b < 3.7 cm

- Lets multiply the inequality by 2

∴ 3.6 × 2 < b × 2 < 3.7 × 2

∴ 7.2 < 2b < 7.4 ⇒ (2)

- <u><em>Add inequalities (1) and (2)</em></u>

∵ 10.8 < 2a < 11

+ 7.2 < 2b < 7.4

∴ 18 < 2a + 2b < 18.4

∵ 2a + 2b represents the perimeter of the rectangle

∴ The possible values of the perimeter of the rectangle is between

18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

7 0

3 years ago

15 POINTS

mafiozo [28]

B i would say I'm sure

7 0

3 years ago

Read 2 more answers

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m

nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

$2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17$

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

$\angle1=2(17)+6\\\angle1=34+6\\\angle1=40$

So, the actual measure of ∠1 = 40°

8 0

3 years ago

Help help i need help anyone ?

REY [17]

-9-6i/-3-2i
Factor -3 out of expression
-3(3+2i)/-3-2i
Then extract the negative sign out of the expression
-3(3+2i)/-(3+2i)
Reduce the fraction with -(3+2i)
-3/-1
-3*-1=3
Hope this helps

3 0

3 years ago

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb

Mademuasel [1]

X10+2y=50 pounds this is your answers because if you do 3 times what number is less than 50 but still is even because all you have afterwars are 10 so 10 is 30. then 30 +?=50 its 20 so 10 multply by two plus 3 multiply by 10 equals 50. hope this helps!!!!!!!!!!

5 0

3 years ago

Read 2 more answers