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pickupchik [31]
2 years ago
10

Big ideas math 1.2 Practice A number 19

Mathematics
1 answer:
slega [8]2 years ago
4 0

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

  • Line segment FG = 37.
  • Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

#SPJ1

Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

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How many solutions are in this equation 14x+2=12x
viktelen [127]


14x+2=12x

[subtract 2 on both sides]

14x=12x-2

[subtract 12x on both sides]

2x=-2

[divide 2 on both sides]

x=-1

3 0
3 years ago
Read 2 more answers
the ratio of girls to boys in the math club was 3.5. if there were 120 children altogether, how many girls were there?
sergejj [24]

3 girls to 5 boys

3+5 =8

120/8 = 15

3 *15 = 45 girls


5 0
3 years ago
Please help solve for x..
aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

x^{100}-4^x \cdot x^{98}-x^2+4^x=0

Factor out -1:

\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0

Divide both sides by -1:

\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0

Rearrange the terms:

\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:

\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0

Factor the first two terms and the last two terms separately:

\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0

Factor out the common term (x^{98}-1) :

\implies (4^x-x^2)(x^{98}-1)=0

<u>Zero Product Property</u>:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0
1 year ago
5. A fruit concentrate is sold in 250 mL packs. The instructions are 'Add water to make one litre of ready-to-drink fruit juice'
Ierofanga [76]
Given ,

Concentrate= 250 mL

Water = 1 liter = 1000 mL

A) ratio is 250:1000 = 1:4

B) for 250 mL it is 1 liter now for 2000mL it is X .

=> x = 2000/250 = 8 liters

C) volume of water in 6L of made up juice is 1500 mL

D) 1 liter - 5 glasses

For 80 glasses it would be 80/5 = 16 glasses
4 0
2 years ago
please help i don't understand this one i appreciate anyone who helps :) Solve for x. 7x - 3/8 = 6x -
svet-max [94.6K]

Answer:

x = 3/8

Step-by-step explanation:

6 0
3 years ago
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