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tatiyna
3 years ago
8

In the diagram shown, angles 1, 2, and 3 are congruent. The measure of / is 4° greater than the measure of /. The sum of the mea

sures of the 4 angles is 116°. What is the combined measure of angles 1 and 4?
Mathematics
1 answer:
zysi [14]3 years ago
5 0
<1 and < 2, and < 3 are congruent...they are equal

< 4 = < 1 + 4

x is gonna represent ur angles
x + x + x + x + 4 = 116
4x + 4 = 116
4x = 116 - 4
4x = 112
x = 112/4
x = 28

x + 4 = 28 + 4 = 32

so < 1 is 28 and < 4 is 32....combined = (32 + 28) = 60 <==
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2 13/18 −z=1 19/36 <br><br>Answer
allsm [11]

Answer:

Answer is z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

3 0
3 years ago
-1 (x-4) in distibutive property
valina [46]

Answer:

-x+4

Step-by-step explanation:

-1(x-4) any expression multipled by 1 remains the same

-(x-4) remove the parenthesis

-x-4

8 0
3 years ago
Read 2 more answers
15x-7=2+12x I need help with this
Amanda [17]

Answer:

\huge{ \boxed{ \bold{ \tt{x = 3}}}}

<h3>♁ Question : Solve for x</h3>
  • 15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>
  • \text{15x - 7 = 2 + 12x}

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛\sf{15x - 12x - 7 = 2}

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛\sf{15x - 12x = 2 + 7}

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛\sf{3x = 2 + 7}

Add the numbers : 2 and 7

➛\sf{3x = 9}

Divide both sides by 3

➛ \sf{ \frac{3x}{3}  =  \frac{9}{3}}

➛ \boxed{ \bold{ \sf{x = 3}}}

The value of x is \boxed{ \sf{3}}

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

\sf{15x - 7 = 2 + 12x}

\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}

\dashrightarrow{ \sf{45 - 7 = 2 + 36}}

\dashrightarrow{ \sf{38 = 38}}

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>
  • If an equation contains fractions ,multiply each term by the L.C.M of denominators.
  • Remove the brackets , if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0
2 years ago
Find the area of a triangle with a base of 14 ft and a <br> height of 11 ft. A = bh/2)
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago
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Ahat [919]

Answer:

= 6x² + 24x + 17

Step-by-step explanation:

g(x+2) = 6(x+2)² -7

= 6(x² + 4x + 4) - 7

= 6x² + 24x + 24 - 7

= 6x² + 24x + 17

7 0
3 years ago
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