Answer:
30°
Step-by-step explanation:
First we must know that the sum of the interior angles of a triangle sum up to 180°. Furthermore, a straight line is also 180°. By using these what we know we can determine what the value of m∠X is.
First we know that m∠W and m∠Z make up a straight line, since m∠W is 105° it follows that:
180° = m∠W + m∠Z
And so:
m∠Z = 180° - m∠W = 180°-105° = 75°
m∠Z = 75°
Now, we also know that the sum of m∠X + m∠Y + m∠Z = 180° and so:
m∠X = 180° - m∠Y - m∠Z
m∠X = 180° - 75° - 75° = 30°
Therefore, m∠X = 30°
Answer:
AB equals 25
Step-by-step explanation:
1( you take ED and the 5 and say of 5.
2( then you count all the letters that stand for numbers and count them.
3) after you count them how many ever there are then you take that number which was 5 too.
4(after you find that number which is number 5 you multipliy 5 and 5.
5(after you multipliy then you should get 25 because 5x5 is 25.
And there you go thats the answer step by step.
Answer:
D
Step-by-step explanation:
11 can fit into 44
Answer:
D
Step-by-step explanation:
12*9= 108 + 22 = 130 + 12*7x=84x
Answer:
<u>Congruent pairs of triangles:</u>
ΔABD ≅ ΔDCB
- AB≅CD - given
- ∠ABD ≅ ∠CDB - given
- BD≅DB - common side
- SAS - two sides and the included angle
ΔABD ≅ ΔEFD - SAS
- AB≅EF - given
- ∠ABD ≅ ∠EFD - given
- ∠ADB ≅ ∠EDF - vertical angles
- AAS - two angles and non-included side
<u>By using the above two we can state that:</u>
ΔBDC ≅ ΔDFE - by ASA or SSS
because
- BD ≅ DF (corresponding parts)
- AD ≅ BC (corresponding parts)
- AD ≅ ED (corresponding parts)
- and therefore BC ≅ ED
<u>We can't prove that:</u>
- ΔAGD is congruent with any of the others as not enough information
There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.