b)
|2x−3y| if x=0.5; y=−0.7
Substitute: |2(0.5)-3(-0.7)|
Simplify: |1+2.1|
Simplify: |3.1|
Since it is an absolute value, it will always be positive: 3.1
d)
|−3 |x| +2x−1| if x=−5
Substitute: |-3(|-5|)+2(-5)-1|
Absolute value is positive: |-3(5)+5(-5)-1|
Simplify: |-15-25-1|
Simplify: |-41|
Absolute value always positive: 41
Based on the definition of congruent triangles, the statements will be completed as follows:
- CE ≅ PR
- TR ≅ FE
- ∠P ≅ ∠C
- ∠F ≅ ∠T
- △FEC ≅ △TRP
- △RPT ≅ △ECF
<em><u>Recall the following about </u></em><em><u>Congruent Triangles:</u></em>
- The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.
- The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.
<em>Given that △CFE≅△PTR, thus:</em>
- CE corresponds to PR, therefore CE ≅ PR
- FE corresponds to TR, therefore FE ≅ TR
- CF corresponds to PT, therefore CF ≅ PT
- ∠P corresponds to ∠C, therefore ∠P ≅ ∠C
- ∠T corresponds to ∠F, therefore ∠T ≅ ∠F
- ∠R corresponds to ∠E, therefore ∠R ≅ ∠E
Thus, based on the definition of congruent triangles, the statements will be completed as follows:
- CE ≅ PR
- TR ≅ FE
- ∠P ≅ ∠C
- ∠F ≅ ∠T
- △FEC ≅ △TRP
- △RPT ≅ △ECF
Learn more about congruent triangles on:]
brainly.com/question/8876876
Area of a triangle can be found using the equation base x height / 2
(5)(6)/2 = 30/2 = 15
The area of the triangle is 15mm
Find the unit rate for each
$8.31/3 pounds= $2.77 per pound
$12.95/5 pounds= $2.59 per pound
Final answer: The second option is better because you are paying less per pound (2.59<2.77).
Answer:
A. -0.8
Step-by-step explanation:
The closer its absolute value to 1, the stronger the relationship is.
A. |-0.8| = 0.8
B. |-0.6| = 0.6
C. |-0.5| = 0.5
D. |-0.7| = 0.7
0.8 is closest to 1, therefore representing the strongest correlation.
Hope this helped :)