<h2>
Answer:</h2>
Triangles ΔADM and ΔUTM are congruent by SAS postulate.
<h2>
Step-by-step explanation:</h2>
We say that two triangles are congruent<em> </em> <em>if and only if </em> they have exactly the same three sides and exactly the same three angles. So if you can turn one triangle into the other by moving, rotating or flipping, then they are definitively congruent. The symbol we use for expressing congruency is ≅. Since triangles ΔADM and ΔUTM have two matching sides and a matching angle between them, then they are congruent by SAS Postulate (Side Angle Side). Then:
ΔADM ≅ ΔUTM
Answer:
i
(or no solution if you haven't learned about imaginary numbers yet)
Step-by-step explanation:
The first thing you want to do is isolate x, or get x alone.
7x²+46=32
=> 7x²+46-46=32-46
=>7x²=-14
=>7x²÷7=-14÷7
=>x²=-2
If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.
If you have learned about imaginary numbers, read on.
Now that you have x^2=-2, you can take the square root of both sides.
x=
Using a property about square roots (I don't know what it's called)
the equation becomes:
x=
And since 
=i, you can substitute in this value in to get x=i.
This is not a right triangle as 2.6 squared plus 8.1 squared does not equal 8.6 squared (Pythagorean theorem)
Answer:
-16
Step-by-step explanation:
The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.
