Answer:
Refer below explanation.
Step-by-step explanation:
Given : two triangles ∆QPK and ∆LMK.
We have to show ∆QPK ≅ ∆LMK.
Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.
Statement 1)
QK=16, PK=26, MK=65, KL=40 ( Reason: Given)
Statement 2 )
(reason : ratio of corresponding sides)
Statement 3)
Thus, 
(reason: simplify ratios)
Statement 4)
∠MKL = ∠PQK (reason : Vertically opposite angles)
Statement 5)
∆QPK ≅ ∆LMK (reason : Side-angle-side)
Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.
Answer:
A. It has reflectional symmetry
B. It is symmetrical
D. It has five lines of symmetry
Step-by-step explanation:
we know that
A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides
Every regular polygon has reflectional symmetry
Regular polygons are symmetrical
therefore
A. It has reflectional symmetry ------> Is true
B. It is symmetrical -----> Is true
C. It has exactly one line of symmetry ----> Is false
D. It has five lines of symmetry -----> Is true
Hello Mate!
Factor theorum states that p( x ) = 0
x = 1, 2
p( x ) = x^3 -10x^2+ax+ b
0 = 1 - 10 + a + b
0 = - 9 + a + b ------(1)
0 = 2^3 - 10(2)^2 + a(2) + b
0 = 8 - 40 + 2a + b
0 = - 32 + 2a + b ------(2)
(1) - (2)
-9 + a + b
-( - 32 + 2a - b )
23 - a = 0
a = 23
keeping value of a in eq. 1
0 = - 9 + 23 + b
-14 = b
Hope it helps☺!✌
Option C:
h(x) = 0.08x
Solution:
Given data:
Sales tax is a function of the price of an item.
Let h be the function.
Take x be the price of an item.
Amount of sales tax = 0.08 times price of the item
= 0.08 × x
Amount of sales tax = 0.08x
⇒ h(x) = 0.08x
Hence the function is h(x) = 0.08x.
Option C is the correct answer.
