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3241004551 [841]
3 years ago
5

Please, Please help me. What is the value of x? Show all of your work.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

ΔKLJ and ΔNPM are similar (Angle-Angle). Therefore the sides are in proportion:

\dfrac{MP}{JL}=\dfrac{MN}{JK}

We have:

MP = 4x - 4

JL = 20

MN = 30

JK = 25

Substitute:

\dfrac{4x-4}{20}=\dfrac{30}{25}           <em>cross multiply</em>

25(4x-4)=(20)(30)            <em>use distributive property</em>

(25)(4x)+(25)(-4)=600

100x-100=600          <em>add 100 to both sides</em>

100x=700             <em>divide both sides by 100</em>

x=7

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18. Brown eyes (B) are dominant to blue eyes (b). The presence of freckles (F) is dominant to the absence of freckles (f). What
MrRissso [65]

Answer:

For bbff we have only 6.3% probability

Step-by-step explanation:

If the parents are heterozygous for both traits, them they are represented by:

BbFf × BbFf

Parent 1: BbFf

Parent 2: BbFf

We have to find the percentage of occurence of bb × ff, which is a child that has blue eyes and no freckles, with no dominant factor.

By distributing the possibilities in a Punnett square, <em>vide</em> picture. We have the following possibilities:

Genotype   Count     Percent  

bBfF  4     25

BBfF  2     12.5

bBFF  2     12.5

bBff          2     12.5

bbfF  2     12.5

BBFF  1     6.3

BBff      1            6.3

bbFF  1     6.3

bbff      1     6.3

For bbff we have only 6.3% probability

6 0
3 years ago
Which BEST describes the construction of a triangle if given one side length of 8 cm and one 90 ° angle?
professor190 [17]
1. it is right-angled triangle because it has a 90 degree angle.

8 0
3 years ago
Please help me,please and thank you :)
nika2105 [10]

Answer: 4

36.87 degrees

Step-by-step explanation:

The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).

Since the triangle is a right angled triangle,

We can apply Pythagoras theorem to get the opposite side.

Hypothenuse ^2 = opposite ^2 + adjacent ^2

5^2 = 4 ^2 + opposite ^2

opposite = √ 25 - 16

opposite = √9 = 3

Let the angle be # degrees,

Cos # = adjacent / hypothenuse

= 4/5 = 0.8

# = cos^-1 (0.8) = 36.87 degrees

7 0
3 years ago
Identify all factors of the expression 4x^2+17x-15
pickupchik [31]

Answer:

d and e

Step-by-step explanation:

To factor 4x² + 17x - 15

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 4 × - 15 = - 60 and sum = + 17

The factors are + 20 and - 3

Use these factors to split the middle term

4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )

= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )

= (x + 5)(4x - 3) → d/e


6 0
4 years ago
The constraints of a problem are listed below. What are the vertices of the feasible region? 4x+3y&lt;-12, 2x+6y&lt;-15,x&gt;-0,
nika2105 [10]

we will draw the graph according to the given  constraints

NOTE: when we draw the graph from constraints inequalities becomes equalities just to draw the graph

Given constraints are:

4x+3y\leq12

2x+6y\leq 15

x\geq0

y\geq0

Now we draw the graph of given constraints using graphing calculator. Please see the attachment for the graph. Shaded region is the feasible region



6 0
3 years ago
Read 2 more answers
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