MATHEMATICS MIDDLE SCHOOL

3. Triangle ABC has angle measures as shown.Point A of the Triangle = X
Point B of the Triangle = ( x+2)
Point C of the Triangle = ( 6x+10)


(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Answers

Answer 1
Answer:

The 3 inside angles of a triangle need to equal 180 degrees.

Add the 3 angles together to equal 180:

X + x+2 + 6x +10 = 180

Simplify:

8x + 12 = 180

Subtract 12 from each side:

8x = 168

Divide each side by 8:

x = 168 / 8

X = 21

a) x = 21

b) C = 6x+10

replace x with 21:

6(21) + 10 =

126 +10 = 136
Answer 2
Answer:

Answer:

x = 21 and C = 136°.

Step-by-step explanation:

(a) Sum of all the triangle = 180°.

∠A + ∠B + ∠C = 180°.

∠A= X, ∠B = x +2 , ∠C = 6x+10.

X + x + 2 + 6x + 10 = 180°.

8x + 12 = 180°.

8x = 168.

x = 21.

(b) The measure of angle C can be done by substituting the vale of x = 21.

6x + 10, x= 21.

=6 × 21 + 10

=136°.

Thus, the value of x = 21 and C = 136°.

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How is the process of finding equivalent ratios like the process of finding equivalent fractions
1/2r + 2(3/4r - 1) = 1/4r + 6
If 3T - 7 equals 5T then 6t equals what and why

HELPJames will draw a rectangle with an area of 25 square inches. Which set of measurements can James use?

A.length =5 1/2
width =5 in.
B. Length= 5 3/4 width 4 3/4 in.
C. Length 12 1/2
Width = 2 in.
D. Length 12 1/2
Width 12 1/2 inches

Then figure out the perimeter of the rectangle you selected

Answers

The answer for your question is A. The reason why it's a is because the are for the rectangle is 25. So your answer has to be 25. So for A the length is 5 1/2 so divide 1/2 you will get 0.5 then multiply 0.5 to 5 that will give you 25. The for Width it's the same thing so you divide 25 into 5 you will get 5 and multiply 5 times that will give you 25.

Hope this helps:)

Set up a linear equation(s) that will help you to find a solution to the following problem: One angle of a triangle is twice as large as another angle. The measure of the third angle is 20 more than the measure of the smallest angle. Find the measure of each angle of the triangle.

Answers

remember
all angles add to 180

x+y+z=180
one is 2 times as another
x=2y
measure of 3rd angle (z) is 20 more than smalllest
since y has to be doubled to get x, y is smallest
z is 20 more than y
z=20+y


we have
x=2y
z=20+y
sub those
x+y+z=180
2y+y+20+y=180
4y+20=180
minus 20 both sides
4y=160
divide 4
y=40
sub back
x=2y
x=2(40)
x=80
z=20+y
z=20+40
z=60

the angles are
80 degrees, 40 degrees, 60 degrees

The ratio of three numbers is 4:5:3. the sum of the numbers is 54.what are the three numbers.

Answers

Answer:

The numbers are 18, 22.5, and 13.5

Step-by-step explanation:

You first need to figure out what number you use to multiply to find your answer. I found 4.5

Now, multiply all numbers by 4.5

4 x 4.5 = 18

5 x 4.5 = 22.5

3 x 4.5 = 13.5

Using the ratioevaluation technique, the three numbers represented by the ratio are 18, 22.5 and 13.5 respectively

  • (Actualratio÷sumofratios)×sumofvalues

Valuewithratioof4:

  • (4 ÷ (4+5+3)) × 54 = 18

Value with ratio of 5:

  • (5 ÷ (4+5+3)) × 54 = 22.5

Value with ratio of 4 :

  • (3 ÷ (4+5+3)) × 54 = 13.5

Therefore, the values are 18,22.5and 13.5respectively

Learn more : brainly.com/question/867574

Y=3(2^x) if x=6 what is the value of y?

Answers

Answer:

192

Step-by-step explanation:

y = 3(2^x )

The value of x is given so we just need to substitute it in that equation..

So it'll become,

y = 3(2^6)

2^6 = 2x2x2x2x2x2= 64

now,

y = 3x 64

= 192

That's the value of y

Cual es la simplificacion de 66/81

Answers

Answer:

Hence the simplification of (66)/(81) is (22)/(27)

Step-by-step explanation:

" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter),

for example: Simplification of a fraction to an irreducible fraction ".

Here we are given a fraction as:

(66)/(81)

As both the numerator and denominator are divisible by a factor of 3 hence we take out the common factor and obtain the reduced fraction which is further irreducible.

As 66=3×22  and 81=3×27

Hence (66)/(81)=(3*22)/(3*27)=(22)/(27)

Hence the simplification of (66)/(81) is (22)/(27)

Study the following statement:“Two intersecting lines cannot beperpendicular to the same line”. Check whether it is an equivalent version to
the Euclid’s fifth postulate.

Answers

Euclid's fifth postulate states that 'given any two lines and a transversal, if the angles on the same side of the transversal are less than 180 degrees they will meet on that side of the transversal'. The statement given here is that two intersecting lines cannot be perpendicular to the same line, i.e., parallel. This statement is stating that the co-interior angles of intersecting lines cannot be 90 degrees in measure, and it is almost equivalent to Euclid postulate 5.
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