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neonofarm [45]
3 years ago
14

1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

Mathematics
1 answer:
denis23 [38]3 years ago
5 0

Answer:

1. m<1 = 139°

2. m<2 = 41°

3. x = 29

Step-by-step explanation:

1. m<1 = 86° + 53° (exterior angle theorem of a triangle)

m<1 = 139°

2. 133° = m<2 + 92° (exterior angle theorem of a triangle)

133° - 92° = m<2 (Subtraction property of equality)

41° = m<2

m<2 = 41°

3. 4x + 15 = 93° + (x + 9)° (exterior angle theorem of a triangle)

Add like terms

4x + 15 = 102 + x

4x - x + 15 = 102 (substraction property of equality)

3x + 15 = 102

3x = 102 - 15

3x = 87

x = 87/3 (division property of equality)

x = 29

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4 years ago
Jerry purchased three pens for $1.19 each and six notebooks for $2.29 each. How many did Jerry spend altogether?
Masteriza [31]

Hi!

We will find the sum you are looking for like this:

3 * 1,19$ + 6 * 2,29$ = 3,57$ + 13,74$ = 17,31$.

Hope this helps!

6 0
3 years ago
Solve for y Please help I need a tip
Gwar [14]

Answer:

y = 4

Step-by-step explanation:

Step 1: Write equation

9/4y - 12 = 1/4y - 4

Step 2: Solve for <em>y</em>

  1. Subtract 1/4y on both sides: 8/4y - 12 = -4
  2. Simplify: 2y - 12 = -4
  3. Add 12 to both sides: 2y = 8
  4. Divide both sides by 2: y = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9/4(4) - 12 = 1/4(4) - 4

9 - 12 = 1 - 4

-3 = -3

4 0
3 years ago
Nicolas says that (2^6)(2^6) equals 2^12 and also equals 4^6 . Do you agree?
alex41 [277]

Answer:

Nicolas is correct.

4^6 =4096

2^12 = 4096

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3 years ago
Solve |7h+ 1| = |3h - 7| for h.
Scorpion4ik [409]

Answer:

h=-41/2

Step-by-step explanation:

4 0
3 years ago
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