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3 years ago

Help with #3 please

Mathematics

1 answer:

Gala2k [10]3 years ago

7 0

M < ABC = 2 * m <DBA
8x - 6 = 2x + 5
6x = 11
x = 11/6 or 1 5/6 answer

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The sum of two numbers is 32. The difference between the numbers is 8. Write a system of equations to represent this situation.

zalisa [80]

$Let\: x,y\: (x>y>0) \: be \: the \: two \: numbers.\\We \: have \: an \: equality:\\\begin{cases} x + y = 32\\x - y = 8 \end{cases}\\ \Leftrightarrow \begin{cases} 2x = 40\\y = x - 8 \end{cases} \\ \Leftrightarrow \begin{cases} x = 20\\y = 20 - 8 = 12 \end{cases} \\ \Rightarrow The \: two \: numbers \: are \: 2 0 \: and \: 12$

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3 years ago

A truck can carry a load of 5000 lb. Assuming that it could be cut to fit, how many feet of steel beam weighing 32.6 lb/ft (poun

yKpoI14uk [10]

For this type of problem,

It is stated that the weight of steel is 32.6 lbs per foot

Meaning, every foot of steel beam weighs 32.6.

So 2 feet of steel beam would weigh 32.6 x 2 = 65.2 lbs

and 3 feet will be 32.6 x 3 = 97.8 lbs

Since we have a limit of 5000 lbs which is the capacity of the truck.

We can have an equation :

$32.6x=5000$

Where x is the number of foot

Solve the value of x by dividing both sides by 32.6 :

$\begin{gathered} \frac{\cancel{32.6}x}{\cancel{32.6}}=\frac{5000}{32.6} \\ x=153.37ft \end{gathered}$

So the answer is 153.37 feet of steel beam

3 0

1 year ago

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?

sesenic [268]

The <em><u>correct answer</u></em> is:

∠LOA ≅ ∠LMA

Explanation:

AAS, or angle-angle-side, states that if two angles and the non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.

We have an angle and a side. Out of the remaining two angles, the ones that would make the side marked, LA, non-included are LOA and LMA. This must be the missing information.

6 0

3 years ago

Read 2 more answers

An interior wall of a building is made up of metal studs

Marizza181 [45]

Answer:

4 5/8"

Step-by-step explanation:

quizlet will have all the answers btw

8 0

4 years ago

A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north. The sailboat is now kilometers from port

Luden [163]

Answer: The sailboat is at a distance of 15 km from the port.

Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

$PS^2=OS^2+OP^2=9^2+12^2=81+144=225\\\\\Rightarrow PS=15~\textup{km}.$

Thus, the sailboat is at a distance of 15 km from the port.

5 0

4 years ago