M∠BPD = 130° and mBC + mAD = 100°.
An angle formed by two chords has a measure that is 1/2 the sum of the chords.
Here, we know that arc CA = 170° and arc BD = 70°. That means that the sum of CB and DA is 100°. This also tells us that ∠DPA = 1/2(100) = 50°. Therefore m∠BPD = 180-50 = 130°, since it forms a straight angle with ∠DPA.
Answer:
Commutative property
Step-by-step explanation:
In the Commutative property,the sequence or the order of factors of product does not change the value of the product.
Example:
in
12*5 = 5*12
also 12 = 3*4
(3*4)5 = (3*5)4
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given
(2x)y = (2y)x
here it can be written as
(2*x)*y = (2*y)*x
removing the bracket for LHS we have
2*x*y ,
applying Commutative property and changing order of x and y
2*x*y = 2*y*x
now again putting the bracket after first two terms
(2x)y = (2y)x
Thus, the expression illustrates Commutative property.
Answer:
13) x=12
14) x=63
15) x=77
16) x=5
Step-by-step explanation:
Because the triangles are similar, the ratios for the corresponding sides are the same. Set up ratios and solve for x in each, like I did in my page.
Answer:
c.
Step-by-step explanation:
