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____ [38]
3 years ago
8

Help for this equation : a+5= -7 What is the answer?

Mathematics
1 answer:
Sophie [7]3 years ago
3 0
Hey! a+5=7 means that a is the variable, while seven is the answer. My technique is like this: 7-5=2 You need to subtract the numbers you already have. This only works for addition! Hope this helps :) !
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Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs
vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

             A ....... must have two pairs of adjacent sides congruent.

             A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

  • A trapezoid is a quadrilateral with exactly one pair of parallel sides.
  • A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
  • A rhombus is a parallelogram with four congruent sides.
  • A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

5 0
3 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
2 years ago
The exact value of cos 13pi/8 is
Naily [24]

Answer:

answer is : Cos(13pi/8) = 0.3826  

Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

     Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

     Cos(3pi/2 + pi/8) = 0  + 0.3826

      Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826                          

6 0
3 years ago
Read 2 more answers
If angles are congruent, solve by setting expressions equal to each other.<br><br> True<br> False
Taya2010 [7]
Answer: True, angles that are congruent are equaled to each other
3 0
3 years ago
Match each output to its input for the function. Let f(x) = −2x + 3 f(0) f(−32) f(10) f(−17) and the choices are 3,-17,37,6
Andru [333]

Answer:

Below

Step-by-step explanation:

● f(x) = -2x + 3

● f (0) = -2 (0) +3 = 3

● f(-32) = -2(-32)+3 = 64 + 3 = 67

● f(10) = -2(10) +3 = -20 + 3 = -17

● f(-17) = -2(-17) + 3 = 34 + 3 = 37

● f(10) => -17

● f(-17) => 37

4 0
3 years ago
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