Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± 
= ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
Answer:
while looking ata number for example 1234, 1 is the thousands place 2 is the hundreds place 3 is the tenths place and 4 is the ones place
Step-by-step explanation:
1 is the thousands place because 1234 is a number consisting of 1000 so 1 in 1234 is the thousnads place and if we keep going youll see that its pretty easy from there
Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:
Filling in:
Cross multiply to get
324 = 108x
and x = 3
3 d - 12
3 * 10 - 12
30 - 12 = 18
Answer : 18
Step-by-step explanation:
f(x)=5x-3
g(x)=5x-4
f(g(x))
f(5x-4)=5(5x-4)-3
25x-20-3
=25x-23
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