Answer: ΔABC≅ΔDEF by HL
Step-by-step explanation:
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Checking the shapes given , they both have hypotenuse and the same leg is being given , the hypotenuse Leg theorem also states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Answer:
is this answer
Step-by-step explanation:
5(m+1)-1
5m+5-1
5m-4
I think the order is step 3, step 1, and then step 2
Hmmm unless you can do negatives, I'd say 10 and 0. 10 minus 0 is 10 (which fits) and the product of 10 and zero IS zero. does that make sense?
Answer:
Option b. 
Step-by-step explanation:
step 1
In the right triangle ABC
<em>Find the sine of angle CAB</em>
---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)
substitute
simplify
---->equation A
step 2
In the right triangle BDC
<em>Find the sine of angle CBD</em>
---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)
substitute
----> equation B
step 3
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and BDC are similar by AA Similarity Theorem
therefore
m∠CBD≅m∠CAB
equate equation A and equation B
solve for DC
step 4
Find the value of AD
substitute the values
