Answer:
-6d - (c - d)^2 = -33
Step-by-step explanation:
-6(4) - (3)^2 =
-24 - 9 =
-33
Answer:
Area of a triangle = A =
Step-by-step explanation:
Given Data:
height of a triangle = h = 15 in
base of a triangle = b = 2 feet = 2*12 =24 in
To Find Out:
Area of a triangle = A = ?
Formula:
Area of a triangle = A = 
Solution:
Area of a triangle = A = 
Area of a triangle = A = 
Area of a triangle = A = 
Area of a triangle = A =
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
<E = 180 - 14 - 45 = 121
so
<D = 180 - 27 - 121 = 32
answer
<D = 32
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute