Answer:
Step-by-step explanation:
all you need to do is use the distributive property and then you"ll get the answer
400x=22,000
22,000/400=x
55=x Hopefully this is right, and hopefully this helps
Answer:
Step-by-step explanation:
In the given sequence, the terms are increasing in arithmetic progression. The common difference, d between successive terms is 2
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 1
d = 2
Therefore, the expression for the general term for the sequence is
Tn = 1 + 2(n - 1)
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
