In a group of 50 students, 29 celebrate Hanukkah, and 36 celebrate Christmas. If every one of the students in the group celebrat
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Answer:
- Find the distance between ( 5 , -6 ) and ( 3 ,4 ).
Let the points be A and B. Now,
- Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
- Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )
Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).
Substitute the actual value of the points into the distance formula and then simplify.
Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.
Remember : ( - ) × ( - ) = ( + )
Add the numbers : 4 and 6
Evaluate the power
Add the numbers : 4 and 100
units
Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is units .
And we're done!
Hope I helped!
Have a wonderful time ! シ
~TheAnimeGirl
Question:
On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).
Given that
Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Answer:
(1) perpendicular
(2) congruent
Step-by-step explanation:
Required
Fill in the gaps
implies that:
In other words:
AB ~ DE ---- Side (S)
and
BC ~ EF ---- Side (S)
Now to fill in the gap with:
(1) perpendicular
(2) congruent
<u>Further explanation</u>
(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular
(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.