$\tan (m\angle H) = \frac{IJ}{JH} \\ \\ \implies \: \tan (m\angle H) = \frac{ \sqrt{10} }{ \sqrt{30} } \\ \\\implies \: \tan (m\angle H) = \frac{{1} }{ \sqrt{3} } \\ \\ \implies \: \tan (m\angle H) = \tan 30 \degree \\ \\ \implies \: m\angle H = \boxed{30} \degree$

6 0

2 years ago

The ratio of the lengths of the sides of △ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the si

zzz [600]

It is 6, 8, 12 , because you know that the perimeter of the smaller triangle is 13, and those are the midpoints of the larger triangle, so it is like half of the larger triangle. So, it happens that 3+4+6 = 13. So 3*2 , 4*2 , 6*2 will be your answer.

4 0

3 years ago

12) 8x - 2 = -9 + 7x<br> Answer

kow [346]

Answer:

-7

Step-by-step explanation:

8x - 2 = 7x - 9

8x - 2 - 7x = 7x - 9 - 7x

x - 2 = -9

x - 2 + 2 = -9 + 2

x = -7

4 0

3 years ago

gordon bought a bag that was a mix of apples and oranges in a ratio of 5:4 there were 27 fruits in all how many fruits were in t

V125BC [204]

Answer:

apples= 15

oranges = 12

Step-by-step explanation:

5+4=9

27/9=3

therefore

apples=3*5=15

oranges=4*3=12

6 0

2 years ago