Answer: The HL Theorem.
Step-by-step explanation: We are given that the triangles have a congruent 90 degree angle and two congruent sides. This would indicate towards SAS but in this case, that doesn't work because the angle is not in between the two congruent sides. We know that the triangles are right, and that their hypotenuses are congruent and that one leg is congruent. Thus, the answer must be HL (hypotenuse & leg).
Answer:
∠XBA=43°
Step-by-step explanation:
we know that
If ray BA bisect angle ∠XBY
then
∠XBA=∠XBY/2
we have
∠XBY=86°
substitute
∠XBA=86°/2=43°
Answer:
14 units
Step-by-step explanation:
We are given that the area between two concentric circles is 
We have to find the length of chord in the larger circle that is tangent to the smaller circle.
Let
be the radius of two circles.
be the radius of small circle and
be the radius of large circle
We know that area pf circle=
Area of large circle =
Area of small circle =
Area between two circles =
Area of large circle -Area of small circle=


By pythagorus theorem




Length of chord=
Hence, the length of chord of the larger circle =
units
By definition, the area of a rectangle is given by:

Where,
w: width
l: long
We then have the following area:

Factoring the area we have:

Therefore, according to the definition, two possible dimensions of the rectangle are:
Answer:
The area of the rectangle in factored form is:
One possible set of dimensions for this rectangle is:
Answer:

Step-by-step explanation:
we know that
it takes Lola
seconds to sign her full name
so by proportion
Find how many seconds take Lola to sign
invitations

Convert seconds to minutes
Remember that

so
