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kow [346]
2 years ago
15

What is the measure of x?

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
8 0
We know angle BAD= CBA so we can do:
42+105 + x = 180
x = 180-105-42
x=33

Hope this helps!! :)
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Please help me with this
shtirl [24]

Answer:

Right angles are congruent

Step-by-step explanation:

One right angle can be transformed to another using rigid transformations such as translation ,rotation and reflection.This is basically the definition of congruence because the idea is to transform one object to another.

7 0
3 years ago
Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be
MrRa [10]

Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

  • length (l) : (10-2x)
  • width(w): (10-2x)
  • height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
6 0
3 years ago
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
Orlov [11]

Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x      since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

7 0
3 years ago
Read 2 more answers
Please solve. best answer gets rewarded! show step by step answers.
Rina8888 [55]
-17+2(-3)^2
-17+2(9)
-17+18
1
5 0
3 years ago
Solve the system of equations. *<br> 4x - 2y = 16<br> y = -5x + 13
LekaFEV [45]

Answer:

is below

Step-by-step explanation:

x= -5/7

y= -66/7

your welcome

6 0
3 years ago
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