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VMariaS [17]
2 years ago
10

Find the volume of the following square pyramid. 26 cm 20 cm 20 cm

Mathematics
2 answers:
babunello [35]2 years ago
4 0
I think the volume is 3,400
Novosadov [1.4K]2 years ago
3 0

Just look it up on socratic

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Select the postulate or theorem that you can use to conclude that the triangles are similar.
insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\implies \frac{QN}{MN} = \frac{NR}{NP}

Also,

\angle QNR\cong \angle MNP  (Reflexive)

Thus, By SAS similarity postulate,

\triangle QNR\sim\triangle MNP

⇒ Option first is correct.

8 0
3 years ago
I need to know how to do this step by step
mariarad [96]
Multiply negative 0.5 times negative 8
The answer is 4
5 0
3 years ago
Read 2 more answers
Please helppppp meeeeeee!!!!!!!!!!!!!!!!!!!!
LenKa [72]

Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

ABCD is a quadrilateral.

m∠ A = 100 + 5x

m∠ B = 77 - 4y

m∠ C = 106 + 3x

m∠ D = 47 + 6y

To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴  100 + 5x  = 106 +3x

∴ 5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°

∴  m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

77 - 4y = 47 + 6y

10y = 77 - 47

10y =30

∴y=\frac{30}{10} \\y = 3\\

m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°

m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°

∴ m∠ B = m∠ D = 65°

Therefore the option is C i.e 115°, 65°

5 0
3 years ago
Ill give brainiest for this question :D<br> (its not multiple choice)
Ipatiy [6.2K]

Answer:

see explanation

Step-by-step explanation:

Given

\frac{6c-2}{2} + 2c + 11

= \frac{6c}{2} - \frac{2}{2} + 2c + 11

= 3c - 1 + 2c + 11

= 5c + 10

(b)

We have the expression

5c + 10 ← factor out 5 from each term

= 5(c + 2)

6 0
3 years ago
17-3(3-4x)-8=5(x+9)-6
VashaNatasha [74]
X=59/12 or x= 4 11/12
6 0
3 years ago
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