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Can someone please help me with 3,4,5,6 pleaseeee!

FromTheMoon [43]

Answer:

3) m∠E = 102°

4) m∠V = 41°

5) x = 9

6) m∠J = 77°

Step-by-step explanation:

3) Find m∠E:

∠DFE and ∠GFH are opposite angles, so they have equal measures.

Now you know have 3 expressions for the angle measures of ΔGFH

Write an equation and solve for x:

(10x + 3) + (13x - 5) + 90 = 180

combine like terms:

23x + 88 = 180

subtract 88:

23x = 92

divide by 23:

x = 4°

Now that you have the value of x, you can evaluate both expressions given for ΔDFE:

6(4) + 11 = 35°

10(4) + 3 = 43°

Solve for the missing angle:

35 + 43 + m∠E = 180

m∠E + 78 = 180

m∠E = 102°

4) Find m∠V

ΔRST is an equilateral triangle (all sides are equal)

An equilateral triangle has 3 equal angles:

180 ÷ 3 = 60°

∠STR and ∠UTV are supplementary (add up to 180°):

m∠STR + m∠UTV = 180

m∠UTV + 60 = 180

∠UTV = 120°

Now that you have this angle, you can calculate the value of x:

120 + (5x + 6) + (4x - 9) = 180

9x + 117 = 180

9x = 63

x = 7

Now you can calculate the measure of ∠V

m∠V = 5(7) + 6 = 41°

5) Find the value of x

ΔPQR is an isosceles triangle (2 sides are equal)

In an isosceles triangle, the base angles are congruent.

Write an equation and solve for x:

29 + 29 + (8x - 14) = 180

8x + 44 = 180

8x = 136

x = 17

6) Find m∠J

Same as the last one, base angles are congruent.

Write an equation and solve for x:

(8x + 5) + (8x + 5) + (5x - 19) = 180

21x - 9 = 180

21x = 189

x = 9

Calculate the measure of ∠J:

m∠J = 8(9) + 5 = 77°

4 0

3 years ago

What’s the correct answer for this? Select all that apply

tatiyna

Answer:

B and C

Step-by-step explanation:

The correct options are :

A cross-section that is perpendicular to the base of a cube.

A cross-section that is perpendicular to the base of a cylinder whose base diameter and height are the same.

In both the cases the length and the width of the section are equal

3 0

3 years ago

Choose all the fractions that are equivalent to 1/7

valentinak56 [21]

2/14, 4/28, 5 /35, you must divide 2÷2/14/2 = 1/7

and of this form you must divide all the other fractions

5 0

4 years ago

Read 2 more answers

Can 18/33 be simplified

oksian1 [2.3K]

Yes because both 18 and 33 are mulyiples of 3

18/33 = 6 / 11

8 0

3 years ago

Read 2 more answers

F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago