What is the measure of the missing angle

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

[tex]\angle DE F\cong \angle GEH[/tex]          (Common angle)

[tex]\angle EDF\cong \angle EGH[/tex]          (Corresponding angle)

[tex]\Delta DE F\sim \Delta GEH[/tex]             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]

[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]

[tex]\dfrac{x+14}{x+5}=2[/tex]

[tex]x+14=2(x+5)[/tex]

[tex]x+14=2x+10[/tex]

Isolating variable terms, we get

[tex]x-2x=-14+10[/tex]

[tex]-x=-4[/tex]

[tex]x=4[/tex]

Therefore, the value of x is equal to 4.

Answer:

it means to add all of the numbers then divide by how many there are

so, 3+3+5+5+5+7+7+8+15+15=73

73/10=7.3

hope this helped!!

Answer:is 24.00,23.00,17.50,14.75,12.25,9.00 is the numbers in order that is a hint

Step-by-step explanation:

Answer:

This is the correct histogram below =D

Step-by-step explanation:

Answer:

[tex]1\%[/tex]

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest  is given by [tex]I=\frac{PRT}{100}[/tex]

[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]

Answer:

12

Step-by-step explanation:

It would be: r = I * 100 / P * R

r = 160.67 * 100 / 2000 * 2/3

r = 16067*3 / 4000

r = 48201 / 4000

r = 12

Answer:

Step-by-step explanation:

ΔH + ΔJ + ΔK + ΔG = 360°

103° + 133° + 58° + X = 360°

294° + X = 360°

X = 360° - 294°

X = 66°

Answer:

15 student

Step-by-step explanation:

35 - 21

15

Pls mark as branlist

CF is 7

Step-by-step explanation:

GE is 10 and they have to be equal so 10-3 is 7

Answer:

15

Step-by-step explanation:

3*5*1=15

Answer:

8. [tex]-\frac{1}{9}[/tex] and 1

9. [tex]-\frac{1}{2}[/tex] and -5

Step-by-step explanation:

Hope this helps ;)

Answer:

B. (–1, –1)

C. (0, 2)

E. (1, –2)

Step-by-step explanation:

plugged in the answers into (x) and (y)

The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Conic inequality:

8x² – 12x + 4y² + 4y – 20 ≤ 0

After plotting the above inequality on a coordinate plane we will get an ellipse:

From the graph:

The points:

(0, 0), (-1, -1), and (1,-2) inside the conic inequality.

Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

5-2x=4-2x+4+x=8-x

x=5-8=-3

Answer:

The answer is B. One solution.

Answer:

6 the answer is 6

Step-by-step explanation:

-3 -2 -1 0 1 2 3 4 5 6

[tex] \bf \: Appropriate \; question :-[/tex]

[tex] : \implies 4 = - 2 + \boxed{ {?} }[/tex]

[tex] \bf \huge \: Solution :-[/tex]

[tex] \rm \: Let \: us \: assume \: that \: the\: value\: of \: \boxed{} \: be\: \bf \: x.[/tex]

New Equation will be :

[tex] : \implies \sf \: 4 = - 2 + \bf x[/tex]

[tex] \rm \: This \: equation \: may \: be \: rewritten \: as :- [/tex]

[tex]: \implies \sf \: 4 = x - 2[/tex]

[tex]\underline{ \rm \: Flip \: this \: equation :-}[/tex]

[tex]: \implies \sf \: x - 2 = 4[/tex]

[tex]\underline{ \rm \: Add \: 2 \: t o \: both \: sides:-}[/tex]

[tex]: \implies \sf \: x - 2 + 2 = 4 + 2[/tex]

On Simplification of this equation,

[tex]: \implies \sf \: x - 0 = 6[/tex]

[tex]: \implies \sf \: x = 6[/tex]

[tex] \underline{ \rm Put \: 6 \: instead \: of \: x \: on \: this \: e quation :-}[/tex]

[tex]: \implies \tt \: 4 = - 2 + \boxed{}[/tex]

[tex]\boxed{\boxed{\bf4 = - 2 + \boxed{\bf 6}}}[/tex]

Hence, the missing value is 6.

_____________________________________

Please let me know if you have any questions.

Answer:

Step-by-step explanation:

5x5 = 10  

Answer:

35

Step-by-step explanation:

Answer:

The numerator (a*c) is the product of two integers ( a and c) and the denominator (b*d) is also ( b and d). This is why multiplying rational numbers is like multiplying integers.

Step-by-step explanation:

Answer:

-163, -180, -197

Step-by-step explanation:

-146--129=-17

the difference of them is 17 so keep adding it

Answer: 1. x= y/12 - 7/12

2. x=y/6 + 25/6

Step-by-step explanation:

Answer:

a. root (x^2 + 64)

Step-by-step explanation:

(8^2 + x^2) = y^2

If you root both sides,

y = root (x^2 + 64)

Answer:

slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.

what you have to do is to solve the equations for y.

1) 2x+2y = 10

  2y = 10 -2x

    y = -x +5

2) 12+4y = -4x

    4y = -4x-12

       y = -x -3

lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2

lines are perpendicular when the multiplication of their slope gives -1

m1 x m2 = -1

here the slopes are same and y-intercepts are different so lines are parallel.

Answer:

40 feet

Step-by-step explanation:

Answer:

40 feet tall

Step-by-step explanation:

6/2 =3

?/2 =20

*2    *2

? = 40

you do inverse operations because 6 divided by 2 is 3... the ? is the variable for how tall the building is... ? divided by 2 = 20 so you multiply 2 and 20 to get the total height

Answer:

64ft²

Step-by-step explanation:

trapezoid area formula is b1+b2 over 2 times the height so

(6+10)÷2×8

16÷2×8

8×8

64

Answer:

A 2 seconds

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

Since the object is falling 16ft  per second, it would take 4 seconds for it to fall 64 ft. Because 64 divided by 4 is 16

Answer:

5 days

Step-by-step explanation:

60 ÷ 12 = x

x represents the amount of days

the elephant get 12 lbs. per day

60 is the total amount of lbs.

Answer: 5 days

Step-by-step explanation:

Okay, so we use the equation 12x=60. She gives the elephant 12 peanuts a day but we don't know how many days so we put x.

Now to solve this, we must divided 12 on both sides and get 5.

12x=60

÷12 ÷12

x=5

Answer:

2

Step-by-step explanation:

first step: simplify the problem to get 5

Second step: 7-5=2

Answer:

52 when we evaluate it understand

Answer:

A

Step-by-step explanation:

Given the graph of f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

g(x) is the graph of f(x) shifted 1 unit to the left , then

g(x) = (x + 1)² → A

Answer:

I dont know if this question was needed to be solved