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I am Lyosha [343]
2 years ago
13

Are the two triangles similar? How do you know?

Mathematics
1 answer:
Bess [88]2 years ago
7 0
There are several conditions where triangles can be proved similar:

AA - where two of the angles are same.

SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.

SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.

In the case above, we can only use the method of SAS, as only two sides of the triangles are given.

<HMG = <JMK (vertically opposite angles)

HM/MK = 8/12 = 2/3

GM/MJ = 6/9 = 2/3

As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.

Therefore, the answer is C.yes by SAS.

Hope it helps!
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The ratio of teachers to students at Priory School is 2:27
Rzqust [24]

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

4 0
3 years ago
If y varies inversely as X and Y equals 5 when x equals 3 find X when Y is 15​
omeli [17]

Answer:

x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 5 when x = 3

k = yx = 5 × 3 = 15, thus

y = \frac{15}{x} ← equation of variation

When y = 15 then

15 = \frac{15}{x} ( multiply both sides by x )

15x = 15 ( divide both sides by 15 )

x = 1

5 0
3 years ago
Write ‒6x^2 + 13x ‒ 6 as the product of two binomials.
VLD [36.1K]
Should be (x-1.5)(x-2/3)
5 0
3 years ago
I’m so bad at this pls-
dolphi86 [110]

Answer:

5 \sqrt{2}

Step-by-step explanation:

\sqrt{5}  \times  \sqrt{10}  \\  =  \sqrt{5}  \times  \sqrt[]{5}  \times  \sqrt{2}  \\   = 5\sqrt{2}

<h3>Hope it is helpful....</h3>
3 0
3 years ago
Read 2 more answers
What is the importance of geometry in our daily life?
kaheart [24]
Geometry is everywhere. Angles, shapes, lines, line segments, curves,<span> and other aspects of geometry are every single place you look. Letters themselves are constructed of lines, line segments, and curves.</span>
6 0
3 years ago
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