All categories

4 years ago

Look at this diagram:

Mathematics

1 answer:

Talja [164]4 years ago

7 0

Answer:

59.6°

Step-by-step explanation:

if PR and SU are parallel then m<UTQ would be equal to m<PQT

You might be interested in

The first number is eight more than the second one. Three times the second number plus twice the first number is equal to 26. Fi

aliina [53]

Let us consider the second number would be $"x"$

The first number is eight more than the second one.

That is, the first number would be $"x+8"$

Three times the second number would be $"3x"$

Twice the first number would be $"2(x+8)"$

Now write the statement in mathematical form: "Three times the second number plus twice the first number is equal to 26"

$3x+2(x+8)= 26$

Solve this equation for x:

Distribute 2 in $x+8$ , we get

$3x+2x+16=26$

Combine the like terms,

$5x+16=26$

Subtracting 16 on both sides,

$5x+16-16=26-16$

$5x=10$

Dividing 5 on both sides,

$x=10/5=2$

So the second number is $x=2.$

Now find the first number:

First number $= x+8=2+8=10.$

Thus the numbers are 10 and 2.

7 0

3 years ago

By which theorem or postulate can the triangles be proven similar?

bogdanovich [222]

The answer is D hope it helps

8 0

4 years ago

Which is true about the volume or surface area of these prisms?

Mariana [72]

Let us find the Surface area and Volume of both Prisms A and B to conclude which is greater.

Consider Prism A :

$\bigstar$ Given Length of Prism A is 3 m

$\bigstar$ Given Width of Prism A is 2 m

$\bigstar$ Given Height of Prism A is 10 m

We know that :

$\bigstar$ Surface Area of a Rectangular Prism is given by : 2[lw + wh + lh]

$:\implies$ Surface area of Prism A : 2[(3)(2) + (2)(10) + (3)(10)]

$:\implies$ Surface area of Prism A : 2[6 + 20 + 30]

$:\implies$ Surface area of Prism A : 2[56]

$:\implies$ Surface area of Prism A : 112 m²

We know that :

$\bigstar$ Volume of a Rectangular Prism is given by : L x W x H

$:\implies$ Volume of Prism A : [3 x 2 x 10]

$:\implies$ Volume of Prism A : 60 m³

-----------------------------------------------------------------------------

Consider Prism B :

$\bigstar$ Given Length of Prism B is 2 m

$\bigstar$ Given Width of Prism B is 6 m

$\bigstar$ Given Height of Prism B is 5 m

We know that :

$\bigstar$ Surface Area of a Rectangular Prism is given by : 2[lw + wh + lh]

$:\implies$ Surface area of Prism B : 2[(2)(6) + (6)(5) + (2)(5)]

$:\implies$ Surface area of Prism B : 2[12 + 30 + 10]

$:\implies$ Surface area of Prism B : 2[52]

$:\implies$ Surface area of Prism B : 104 m²

We know that :

$\bigstar$ Volume of a Rectangular Prism is given by : L x W x H

$:\implies$ Volume of Prism B : [2 x 6 x 5]

$:\implies$ Volume of Prism B : 60 m³

We can notice that Volumes of both Prism A and B are Equal, But the Surface Areas are not.

$\bigstar$ Surface Area of Prism A is 112 m²

$\bigstar$ Surface Area of Prism B is 104 m²

Answer : Surface Area of Prism A > Surface Area of Prism B

7 0

3 years ago

Find the missing angle 13 & 14

mixer [17]

Answer:

I think the answer would be 13??

Step-by-step explanation:

Hope this helped! ;) Have a great day! :)

4 0

3 years ago

Find the area of a triangle with a =17, b =13, and c =19.

Umnica [9.8K]

Answer:

$110,5\:units^2$

Step-by-step explanation:

$\frac{1}{2}hb, \frac{1}{2}bh, or\: \frac{hb}{2}$

Your legs [b and a] represent your height and base, so plugging 13 and 17 into the formula will give you the area of $110,5\:units^2$ .

I am joyous to assist you anytime.

4 0

4 years ago

Read 2 more answers