Answer:
Step-by-step explanation:
<h3>#4</h3>
According to diagram we have
- QR ≅ QT
- QS ≅ QS (common side)
- QSR ≅ QST (both right angles)
Considering above we can state
- QSR ≅ QST by HL (hypotenuse-leg)
<h3>#5</h3>
Two angles are congruent but the order of angles is not same
Triangles are not similar.
<h3>#6</h3>
Two angles and a side are congruent but the order of angles is not same.
Triangles are not similar.
The missing step in this proof is ∠BAC ≅ ∠BDE ⇒ answer D
Step-by-step explanation:
If two triangles are similar by SAS, then their corresponding angles are
equal and the 3rd corresponding sides have constant ratio
In the two triangles ABC and DBE:
- ∠ABC ≅ ∠DBE
Then the two triangles are similar
From similarity:
∠BAC ≅ ∠BDE
∠BCA ≅ ∠BED
∴ The missing step is ∠BAC ≅ ∠BDE
The missing step in this proof is ∠BAC ≅ ∠BDE
Learn more:
You can learn more about triangles in brainly.com/question/3451297
#LearnwithBrainly
Diagram:
M------------O-------------N
................. ^ midpoint
Obviously if O is the *mid*point, then it is exactly halfway between M and N. That also means it has bisected the segment into two equal parts.
On one side you have MO (or OM, if you like)
On the other side you have ON.
In order for O to be the midpoint:
ON = OM
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
