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Gekata [30.6K]
3 years ago
8

Solve the equation: 2.25t + 5 = 13.5t + 14

Mathematics
1 answer:
lana [24]3 years ago
4 0
2.25t+5=13.5t+14
5-14=13.5t-2.25t
-9=11.25t
t=-9/11.25
t= -0.8
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9/20 is your answer! Have a nice day and maybe even consider a brainliest!
8 0
2 years ago
A parallelogram cant be a cross section of a triangular prism? never true,sometimes true,or always true
Sedaia [141]

Answer:

I wanna say never true...Hope thats right

8 0
3 years ago
The number of ounces in an unknown number of pounds. Let z= the variable.
earnstyle [38]

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

\frac{16   ounces}{1 pound} (z)

6 0
3 years ago
A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?
Ugo [173]

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7Bquestion%7D%7D%7D%20%3A%20" id="TexFormula1"
steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>

<em />

And since the sum of the interior angles of a triangle total 180°, we acquire:

\angle PAB+\angle PBA+\angle PCB+\angle PBC=180

Since they are all equivalent:

4x=180

Hence:

x=45^\circ

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ

8 0
3 years ago
Read 2 more answers
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