If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC
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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees
The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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So in short, the answer is choice B) 27; 49
Answer:
x=2
Step-by-step explanation:
use distributive property: x^2+2x-1=4
remove the -1 by adding 1 on both sides: x^2+2x=5
use the guadratic fromula: ax²+bx+c=0
plug in the equation x^2+2x-5=0
a,b and c are the coefficients to plug into the formula
a=1, b=2, c=-1
Finally, you will find that x=2
Answer: 11x^2
Step-by-step explanation:
I suppose that the options are:
a) 9/x
b) 11x^2
c) 20x^9-7x
d) 20x -14
First, a polynomial is something like:
aₙx^n + .... + a₂*x^2 + a₁*x^1 + a₀*x^0
Where n is the degree of the polynomial, the therms a are the coefficients, and aₙ is the leading coefficient.
Depending on the number of terms of the polynomial, it takes different names.
If we have only one term, it is called a monomial, if it has two terms, it is called a binomial, and so on.
So if we want to find a monomial, then we need to look at the options with only one term.
The options with only one term are options a and b.
But option a is a quotient (we have a negative power of x: 9/x = 9*x^-1)
So this is not a polynomial, then the correct option is option b.
Answer:
4.5
Step-by-step explanation:
0.5p-3.45=-1.2
add 3.45 to -1.2 which would leave the equation to look like
0.5p=2.25
then divide 0.5 to both sides cancelling 0.5 leaving the answer to be
p=4.5
5 units is the length of the side opposite ZB
