Answer:
Angle #4
Step-by-step explanation:
4 & 5 are equal, and opposite.
1 & 2 are also congruent by this standard.
Answer:
x = 12
Step-by-step explanation:
6x - 4 and 112 are same- side interior angles and sum to 180° , that is
6x - 4 + 112 = 180
6x + 108 = 180 ( subtract 108 from both sides )
6x = 72 ( divide both sides by 6 )
x = 12
Answer:
<h3>
<em>a</em><em>.</em><em> </em><em> </em><em>1</em><em>1</em></h3><h3>
<em>b</em><em>.</em><em> </em><em> </em><em>9</em></h3>
<em>Sol</em><em>ution</em><em>,</em>
<em>a</em><em>.</em><em> </em><em> </em><em> </em><em>Given</em><em>,</em>
<em>X=</em><em>4</em>
<em>y</em><em>=</em><em>3</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>b</em><em>.</em><em> </em><em>Given,</em>
<em>a</em><em>=</em><em>-</em><em>2</em>
<em>b</em><em>=</em><em>5</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>
Answer:
5 5/7
Step-by-step explanation:
-4*6/7*-5/3
We can multiply the numerators
-4 * 6*-5 = 120
We can multiply the denominators
7*3 =21
Put the numerator over the denominator
120/21
The top and bottom are both divisible by 3
120/3 = 40
21/3 =7
The new improper fraction is 40 /7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Answer:
<h2>Square.</h2>
Step-by-step explanation:
The parallelogram that has those characteristics is the square.
The square is perfectly symmetric, both diagonals are congruent, because all sides of the square are congruent. Also, the diagonals bisects each angle of the square, creating triangles. Those triangles have 45° angles at their base and the third-angle is 90°, that is, it's a right triangle, where that right angle is between diagonals.
Therefore, a square has congruent and perpendicular diagonals, they have the same midpoint, and their slopes are opposite reciprocals of each other because that's the definition of perpendicularity.
Therefore, the right answer is square.
