Answer:
CB = 5, 
Step-by-step explanation:
Assuming that the marks next to angle D mean that 
, then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so 
.
The only given option that correctly defines a line segment is;
<u><em>Option C; All points between and including two given points.</em></u>
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
Read more at; brainly.com/question/18089782
N=nickels
d=dimes
n+d = 30
n+18 = 30
n = 30-18
n = 12 (number of nickels)
therefore Mary has 12 nickels
Answer:
no identity will escape! I know where you live
Hey there
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The correct answer is:
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30 and f(x+5)=x^2+kx+30 so
k=13
Now factor x^2+13x+30
Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so
(x+3)(x+10)
So the two zeros occur when x=-3 and -10 the smallest of which is:
x=-10
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Hope this helps you
