All categories

3 years ago

Help with these questions!!

Mathematics

1 answer:

VikaD [51]3 years ago

3 0

Answer:

∠1 = 37°

∠2 = 127°

∠3 = 23°

Step-by-step explanation:

From the picture, we can see the following....

∠1 + 90° + 53° = 180°

From this we now that...

∠1 = 180° - 90° - 53°

∠1 = 37°

Also, we can see that...

∠1 + ∠3 + 90° + 30° = 180°

Substatute ∠1 and then find ∠3

∠1 + ∠3 + 90° + 30° = 180°

37° + ∠3 + 90° + 30° = 180°

∠3 = 180° - 90° - 30° - 37°

∠3 = 23°

And the last thing we can see is that...

∠2 + 53° = 180°

∠2 = 180° - 53°

∠2 = 127°

So ...

∠1 = 37°

∠2 = 127°

∠3 = 23°

You might be interested in

Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4

Alex787 [66]

Step 1: Simplify both sides of the equation.

3(x−3)+5=3x+1+4

(3)(x)+(3)(−3)+5=3x+1+4(Distribute)

3x+−9+5=3x+1+4

(3x)+(−9+5)=(3x)+(1+4)(Combine Like Terms)

3x+−4=3x+5

3x−4=3x+5

Step 2: Subtract 3x from both sides.

3x−4−3x=3x+5−3x

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

8 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

4 years ago

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

VladimirAG [237]

First, we start off with the nth term formula for an arithmetic sequence, which is
$a_{n} =a_{1}+(n-1)d$

plug in the sequence numbers where they belong

$a_{n}=5+(n-1)*(-4)
$
$a_{n}=5+(-4n+4)$
$a_{n}=5-4n+4$
$a_{n}=-4n+9$

And this is the final answer
$-4n+9$

4 0

3 years ago

GIVEN: LJ || WK || AP, PL || AG.

galina1969 [7]

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#12

In the given figure

∵ LJ // WK

∵ LP is a transversal

∵ ∠1 and ∠KWP are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠1 = m∠KWP

∴ ∠1 ≅ ∠KWP ⇒ (1)

∵ WK // AP

∵ WP is a transversal

∵ ∠KWP and ∠WPA are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠KWP = m∠WPA

∴ ∠KWP ≅ ∠WPA ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠WPA are congruent to ∠KWP

∴ ∠1 and ∠WPA are congruent

∴ ∠1 ≅ ∠WPA ⇒ (3)

∵ WP // AG

∵ AP is a transversal

∵ ∠WPA and ∠2 are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠WPA = m∠2

∴ ∠WPA ≅ ∠2 ⇒ (4)

→ From (3) and (4)

∵ ∠1 and ∠2 are congruent to ∠WPA

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

8 0

3 years ago

Is .849 greater than .90

Dmitry [639]

Answer:

NO it isnt.

Step-by-step explanation:

Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.

3 0

3 years ago

Read 2 more answers