Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:
Solve for the scale factor <em>k: </em>
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Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
In conclusion, the area of ΔEDF is 9.6 square inches.
Answer:
X=30
Step-by-step explanation:
y=kx
6=10k
k=0.6
y=0.6x
18=0.6x
X=18/0.6
x=30
Answer:
See Below.
Step-by-step explanation:
<u>Statements</u> <u>Reasons: </u>
<u />
Given
Given
Vertical Angles are Congruent
AAS Congruence
CPCTC
3. ΔPQR ≅ ΔSRT
3. ASA (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
4. PR ≅ SR
4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.
Answer:
Finish the question
Step-by-step explanation:
