Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
Answer:
b =21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + b^2 = 29^1
400 + b^2 =841
Subtract 400 from each side
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b =21
Answer:
Step-by-step explanation:⇔
∠B
∠D
are the measures but if you forgot to add the picture then... who knows
Hey there!!
Given equation :
... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8
Using the distributive property.
... 2 ( x - 3 - 2x + 9 ) = 3x - 8
... 2 ( -x + 6 ) = 3x - 8
Using the distributive property.
... -2x + 12 = 3x - 8
Subtracting 12 on both sides.
... -2x = 3x - 8 - 12
... -2x = 3x - 20
Subtracting 3x on both sides.
... -2x - 3x = -20
... -5x = -20
Dividing by -5 on both sides.
... x = -20 / -5
... x = 4
<em>Hence, the answer is 4. </em>
Hope my answer helps!
