All categories

3 years ago

If EF=9x+14, FG=56, and EG=250, find the value of x.

Mathematics

2 answers:

trasher [3.6K]3 years ago

8 0

Well, assuming E is the beginning, F is the middle, and G is the end, then

9x+14+56=250
9x=250-(56+14)
9x=250-70
9x=180
9x/9=180/9
X=20

The whole E to G is 250, and it gave you lengths between it

nexus9112 [7]3 years ago

7 0

Answer:

Value of x =20

Step-by-step explanation:

Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.

Segment Addition Postulates states the following for 3 points that are collinear.

i.e, Let three points A, B and C are collinear and B is between A and C.

i,e AC = AB + BC

By Segment addition postulates; solve for x;

EG = EF + FG

Substitute the given values we get;

250 = 9x + 14 + 56

250 = 9x + 70

Subtract 70 on both sides we get;

250 -70 = 9x + 70 -70

Simplify:

180 = 9x

Divide both sides by 9 we get;

$\frac{180}{9} = \frac{9x}{9}$

Simplify:

x = 20

Therefore, the value of x =20

You might be interested in

Please help me thank you

gayaneshka [121]

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into $-\frac{2x}{3} +9=\frac{4x}{3} - 3$

Then, Subtract 9 from both sides of the equation. $-\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9$

Simplify. $-\frac{2x}{3}=\frac{4x}{3}-12$

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

(sorry for the late answer)

5 0

3 years ago

Identify the property that justifies the following statement: If <1≈ <2, then <2≈<1.

Colt1911 [192]

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

To identify the property used in the above statement:

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is $\overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B$ .

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is $\overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}$ .

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is $\angle A\cong \angle B, \ \angle B\cong \angle C \ \text{then} \ \angle A\cong \angle C$

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

7 0

2 years ago

Write an equation of a line parallel to the line y=2x+7 and passing through the point (4,2)

trasher [3.6K]

Y=mx+b
lines are parallels so m=2

y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6

(verification on the picture)

4 0

3 years ago

Read 2 more answers

The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste

Margarita [4]

The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

A(t) = A(o)(2^(t - 1950)/50)

Substituting the known values,

A(t) = (2.5 million people)(2^(2100 - 1950)/50))

A(t) = 20 million

Answer: 20 million people

3 0

3 years ago

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate

hoa [83]

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

3 0

2 years ago