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2 years ago

What is the measure of А 50" 50° B C [Not drawn to scale] 50° 80 100 130

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

Answer:

solution given :

<A=?

<B=50°

<C=50°

if it is a triangle:

<A+<B+<C=180°( sum of interior angle of a triangle is 180°)

<A=180-50-50

<A=80°

<A=80° is a required answer.

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y = 2x squared + 5x -3 can be written in the form y= 2( x+a) squared + b . Find the value of a and the value of b.

Elan Coil [88]

General vertex form:

$y = m(x − a)² + b \: with \: vertex \: at \: (a, b)$

Given :

$y = 2x² + 5x - 3$

Extract "spread factor" m

$y = 2( x² + \frac{5}{2} x) - 3$

Complete the square

$y = 2(x² + \frac{5}{2}x + ( \frac{5}{4})²) - 3$

$- 2( \frac{5}{4})²$

Write as a squared binomial and simplify the constant

$y = 2(x + \frac{5}{4})² - 6 \frac{1}{8}$

Re-write to match signs of standard general form:

$y = 2(x - ( - \frac{5}{4}))² \: + ( - 6 \frac{1}{8})$

3 0

2 years ago

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts

FromTheMoon [43]

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

5 0

3 years ago

It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?

qwelly [4]

$260.00
Because you won’t need to multiply the $60.00 per person

5 0

2 years ago

Sean and Greg share a 24-ounce bucket of clay. By the end of the week, Sean has used 3 8 of the bucket, and Greg has used 1 4 of

kozerog [31]

Answer:

Step-by-step explanation:

Sean and Greg share a 24-ounce bucket of clay

Sean uses 3/8 of the bucket

= 3/8 ×24

= 9 ounce

Greg uses 1/4 if the bucket

= 1/4 ×24

= 6 ounce

= 9+6

= 15 ounce

Therefore the quantity left in the bucket can be calculated as follows

= 24-15

= 9

Hence 9 ounces are left in the bucket

4 0

3 years ago

Solve this equation: y-3x+15=10

Jlenok [28]

Answer:

10=10

Step-by-step explanation:

y-3x+15=10

y=3x-15+10

y=3x-5

subtitute y=3x-5 in the above equation:

3x-5-3x+15=10 (3x will be eliminated with -3x)

-5+15=10

10=10

(i hope this is the way you want the answer but at least I think it is correct)

3 0

3 years ago