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lapo4ka [179]
2 years ago
12

I need some help with this

Mathematics
1 answer:
masya89 [10]2 years ago
4 0

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

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Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​
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Answer:

24 girls

Step-by-step explanation:

24:12

2:1

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3 years ago
If f(x)=4x3+Ax2+5x−5 and f(2)=3​, what is the value of​ A?
Luba_88 [7]
The value of x is 24
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If the discriminant of a quadratic equation is equal to -8 , which statement describes the roots?
GaryK [48]

Answer: There are no real number roots (the two roots are complex or imaginary)

The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0

There are three cases

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  • If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
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3 0
3 years ago
X+3y=10<br>X-5y=-2<br><br>X=? <br>Y=?
Inessa [10]
<span>X+3y=10
X-5y=-2
--------------subtract
8y = 12
  y = 12/8 = 3/2  = 1.5

</span><span>X+3y=10
x = 10 - 3y
x = 10 - 3(1.5)
x = 10 - 4.5
x = 5.5

answer
x = 5.5 and y = 1.5 </span>
4 0
2 years ago
Read 2 more answers
Write two mixed nubers that have the sum of 3
erastova [34]
A mixed number is a number that is a whole number with a fraction
so numbers that are mixed are greater than 1

so therefor since both have to be greater than 1, the fractions have to add up to equal 1

so the mixed numbers are (1 and x)    and  (1 and y) where x+y=1 so some examples are
1 and 1/2+1 and 1/2
1 and 1/3+1 and 2/3
1 and 1/4 +1 and 3/4
1 and 1/1000+1 and 999/1000
etc
8 0
2 years ago
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