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nika2105 [10]
3 years ago
6

Helppppppppppppppppppppppppppppppppppppppppppp meeeeee

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

Angle A = 19

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B

If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

3x + 13 = 5x + 9

Step 1 subtract 3x from both sides

Outcome: 13 = 2x + 9

Step 2 subtract 9 from both sides

Outcome: 4 = 2x

Step 3 divide both sides by 2

Outcome: x = 2

Now to find Angle A

All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )

Substitute 2 for x

Angle A = 3(2) + 13

Multiply

Angle A = 6 + 13

Add

Angle a = 19

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Brainiest if correct or first<br> 90 with a 20% increase
Bumek [7]
Answer:

90.00 increased by 20% is 108.00

The increase is 18.00

8 0
3 years ago
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What is the surface area of a cone that has a radius of 8 feet and a slant height of 12 feet? (Use 3.14 for π.)
kodGreya [7K]

Answer:

Surface area of cone is 502.4\ ft^2

Step-by-step explanation:

Given:

radius of a cone (r) = 8 feet

slant height of cone (l) = 12 feet

We need to find the surface area of cone.

Total surface area of cone = Area of circle + Area of curved surface

Now we know that,

Area of circle = \pi r^2

Area of curved surface = \pi rl

Hence Total surface area of cone = \pi r^2+\pi rl=\pi r(r+l) = 3.14 \times 8 (8+12)=3.14\times8\times20= 502.4 \ ft^2

Surface area of cone is 502.4\ ft^2.

4 0
3 years ago
NO ONE EVER ANSWERS MY QUESTIONS I NEED HELP PLEASE!!! 2 problems Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM. a
almond37 [142]

To solve this problem we will use sinus theorem.

It's general form is

a/sinα = b/sinβ = c/sinγ  

In this case it reads ML/sin∡K = KL/sin∡M = KM/sin∡L  =>

ML/sin∡K = KL/sin∡M  =>  12/sin60° = KL/sin45° => 12/(√3/2) = KL/(√2/2) =>

2*12/√3 = 2*KL/√2 => We will divide whole equation with number 2 and get

12/√3=KL/√2 => KL*√3=12√2 => KL=(12√2)/√3

When we rationalize denominator we get  KL=4√6≈ 4*2.45= 9.8

Considering that we know two angles we will calculate the third

∡K+∡M+∡L=180° => 60°+45°+∡L=180° => ∡L= 180-105=75°

Reason- The theorem of the sum of the inner angles of the triangle

ML/sin∡K=KM/sin∡L => 12/sin60°=KM/sin75°

We will calculate  sin75° = sin (30+45)= sin30 *cos45+cos30*sin45 =>

sin75°= 1/2 * √2/2 = √3/2 * √2/2= √2/4 *(√3+1)≈(1.41/4)*(1.73+1)=0.96

12/(√3/2)=KM/0.96 => 12*2/√3=KM/0.96 => 13.87=KM/0.96 =>

KM=13.87*0.96= 13.31

Perimeter of ΔKLM => P=KL+ML+KM= 12+9.8+13.31= 35.11

In the same way you can calculate perimeter of ΔMNO.

Good luck!!!


4 0
3 years ago
State the largest solution of (x + 3)2 - 4 = 0.
Zinaida [17]
Hello :
(x+3)² -2² = 0
by identite :  a²-b² =(a-b)(a+b)
(x+3-2)(x+3+2)= 0
(x+1)(x+5)=0
x+1=0 or x+5=0
x=-1 or x=-5
<span>the largest solution is : - 1</span>
3 0
3 years ago
Work out the surface area of this cylinder.<br>with radius 2 cm<br>and height 4 cm​
Tju [1.3M]

Answer:

75.39cm ^{2}

Step-by-step explanation:

area = 2\pi \times r \times h  + 2\pi \times  {r}^{2}  \\ = 2 \times \pi \times 2 \times 4 + 2 \times \pi \times 22 \\  = 75.39822cm ^{2}

3 0
3 years ago
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