3 years ago

In the diagram, the measure of angle 9 is 85°.

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

angle 11 they are vertically opposite.

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What number should be added to the expression x^2 + 14x to change it into a perfect square trinomial? Can you help me with this?

Troyanec [42]

X^2+14x

To make it as perfect square binomial first divide the numerical coefficient of 14 by 2 which is 7. Then square the result[7] which is 49 and add it to the equation
x^2+14x+49
After that think of a number that has a square root of 49 then when u multiply the second term in the perfect square by the first and 2 it results to 14. So the answer is
[x+7]^2

6 0

4 years ago

A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches

Kazeer [188]

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box $=800in^3$

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

$l=\frac{100}{b}$

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting $l=\frac{100}{b}$

$2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch$