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Masteriza [31]
3 years ago
9

What is the measure of angle x? Enter your answer in the box. ? º

Mathematics
2 answers:
hichkok12 [17]3 years ago
7 0
56 + 41 + x = 180
97 + x = 180
x = 180 - 97
x = 83 <==
Lapatulllka [165]3 years ago
6 0

Answer:

Measure of ∠x is 83°.

Step-by-step explanation:

Let, the angle opposite to 41° has measure y°.

Since, <em>'Vertical angles have equal measure'.</em>

So, ∠y = 41°

Moreover,<em> 'The sum for angles of a straight line is 180°'.</em>

So, ∠x + ∠y + 56° = 180°

i.e. ∠x + 41° + 56° = 180°

i.e. ∠x = 180° - 97°

i.e. ∠x = 83°

Hence, measure of ∠x is 83°.

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You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is 12 inches wide by 16 inches long. The
Kay [80]

Answer:

Area of tissue paper is 384 square inches.

Step-by-step explanation:

Given:

Length of box = 16 inches.

Width of the box = 12 inches.

We need to find find the area of the tissue paper.

But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.

Hence Framing in equation form we get;

Area of tissue paper = 2(length\ of \ box \times width \ of \ box)

Hence Substituting the given values we get;

Area of tissue paper = 2(12\times 16) = 2\times 192 = 384 in^2

Hence Area of tissue paper is 384 square inches.

7 0
2 years ago
Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l
bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0
2 years ago
Please help<br> find the value of x in the isosceles triangle shown below.<br> V80<br> V80
Vadim26 [7]

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

4 0
3 years ago
9) The list price of a car is $12,600.00. Liza gets a 12% discount on the list price. How much does she need to pay for the car?
o-na [289]

Answer:

11,088

Step-by-step explanation:

12,600.00*(1-0.12)=11088

1-0.12 is the reduction

8 0
2 years ago
What is the value of "y" that satisfies the expression below?
olchik [2.2K]

Answer:

<h2>1.20</h2>

Step-by-step explanation:

1y + 12 = 6 (1y + 1)

1y + 12= 6y + 6

12 - 6 = 6y - 1y

6 = 5y

y = 6/5

y = 1.2

I don't what you meant by rounding to 2 decimal points so my answer is

<h2>1.20</h2>
4 0
1 year ago
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