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Tomtit [17]
3 years ago
9

If angle a of a parallelogram measures 70 degrees then what is the measure of angle b

Mathematics
2 answers:
Ann [662]3 years ago
7 0
180 - 70 = 110 
Angle B = 110 
KATRIN_1 [288]3 years ago
7 0
180 - 70 =110
B = 110
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Ben makes only tables and chairs at his wood-making shop.
bonufazy [111]

What is the maximum number of chairs and tables Ben can make in a month.

Answer:

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

x is number of tables and y is number of chairs per month.

Thus, inequality to represent this is;

x + y ≤ 500

Constraints are;

x ≥ 25

y ≥ 100

Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs

Thus, ratio of tables to chairs should always be 1:4

Thus,

Maximum number of tables per month = 1/5 × 500 = 100 tables

Maximum number of chairs per month = 4/5 × 500 = 400 chairs

3 0
3 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
sergejj [24]
Slope-intercept form is <em>y</em><em> = </em><em>mx</em> + <em>b</em>, where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept.  To write this in slope-intercept form we must isolate the <em>y</em>:
2x + 3y = 1470
2x + 3y - 2x = 1470 - 2x (subtraction will cancel the positive 2x on the left side of the equation)
3y = -2x + 1470 (since they are not like terms we cannot combine them, we leave them separate)
3y/3 = -2/3x + 1470/3 (cancel the 3 by dividing; EVERYTHING gets divided to keep it equal)
y = -2/3x + 490
The slope of this equation is -2/3 and the <em>y</em>-intercept is 490.
To graph this equation, plot 490 on the <em>y</em>-axis first, since it is the intercept.  Then count over to the right 3 and down 2 to find the next point; continue this for all successive points.
In function notation this would be <em>f</em>(<em>x</em>) = -2/3<em>x</em> + 490.  This function shows how the profit on wrap specials changes as the number of sandwich specials sold increases.  The graph of the function is attached.
The next month, when Sal's profit increased, the function changes because the <em>y</em>-intercept changes.  The slope stays the same.

6 0
3 years ago
Which ordered pair describes the location of point A? (-6, 5) (-6, -5) (5, -6) (5, 6)
Neko [114]

Answer:

the answer is -6,5

Step-by-step explanation:

just look at the left side ( the x axis )first then right(the y axis)

8 0
3 years ago
If x^2=20 what is the value of x will give brainliest for answer
Schach [20]

Answer:

x² - 20 = 0

Using the quadratic formula

x =  \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}

a = 1 b = 0 c = -20

So we have

x =  \frac{ - 0 ±  \sqrt{ {0}^{2}  - 4(1)( -20)} }{2(1)}  \\  \\ x =  \frac{± \sqrt{80} }{2}  \\  \\ x =  \frac{±4 \sqrt{5} }{2}  \\  \\  \\ x = ±2 \sqrt{5}  \\  \\  \\ x = 2 \sqrt{5}  \:  \:  \: or \:  \:  \: x =  - 2 \sqrt{5}

Hope this helps you.

8 0
3 years ago
If 9 : x= x4. then x= _____.<br>a) 36<br>b) 18<br>c) 24<br>d) 6​
cupoosta [38]
The answer would be d
5 0
3 years ago
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