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3 years ago

Question is in the picture

Mathematics

2 answers:

maxonik [38]3 years ago

5 0

Sum of the two sides which is 10.5
difference of the two sides which is 5.5

meaning, the answer is

5.5 < x < 10.5

Rudiy273 years ago

3 0

X cannot be greater than the sum of the two other sides.
x cannot be less than the difference of the two sides.

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N the diagram, the ratios of two pairs of corresponding sides are equal.

MaRussiya [10]

Answer:

$\angle N\cong \angle Z$

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, $MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6$

To find: criteria that needs to be shown to prove ΔLMN $\sim$ ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

$\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}$

So, ΔLMN $\sim$ ΔXYZ by SAS similarity theorem if $\angle N\cong \angle Z$

3 0

3 years ago

Read 2 more answers

Solve for x: 2/5 = x/24

lord [1]

Answer:

x=9.6

Step-by-step explanation:

We are given the proportion:

$\frac{2}{5}=\frac{x}{24}$

We are asked to solve for x. Therefore, we must isolate x on one side of the proportion.

x is being divided by 24. The inverse of division is multiplication. Multiply both sides of the proportion by 24.

$24*\frac{2}{5}=\frac{x}{24}*24$

$24*\frac{2}{5}=z$

$24*0.4=x$

$9.6=x$

$x=9.6$

x is equal to 9.6 The complete proportion is $\frac{2}{5}=\frac{9.6}{24}$

3 0

4 years ago

Please I need answer

Nastasia [14]

Answer:

I'm not 100% sure but I believe the answer is (B)

Step-by-step explanation:

3 0

3 years ago

Two solids cones geometrically similar and the height of one cone is 1 1/2 times that of the other. Given that the height of the

Nitella [24]

I didnt bring my calculator

6 0

3 years ago

11. Suppose a force F varies as the product of two masses, m and M, inversely as

almond37 [142]

Answer:

$k = 6.74 * 10^{-5}$

Step-by-step explanation:

Given

$F\ \alpha\ \frac{m * M}{r^2}$ --- The variation

$F = 675; m = 125; M = 225; r = 0.0530$

Required

Determine the constant of proportionality (k)

$F\ \alpha\ \frac{m * M}{r^2}$

Express as an equation

$F = k\frac{m * M}{r^2}$

Multiply both sides by $r^2$

$Fr^2 = km * M$

Make k the subject

$k = \frac{Fr^2}{m * M}$

Given that: $F = 675; m = 125; M = 225; r = 0.0530$

We have:

$k = \frac{675* 0.0530^2}{125 * 225}$

$k = \frac{1.896075}{28125}$

$k = 0.000067416$

This can be represented as:

$k = 6.74 * 10^{-5}$

5 0

3 years ago