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Whitepunk [10]
3 years ago
5

Please help me with this

Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

Yes, the triangles are congruent by Hypotenuse angle congruence

Step-by-step explanation:

we know that

The <u>Hypotenuse-Angle Congruence</u>  states that If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the triangles are congruent.

In this problem

The hypotenuse and an acute angle of the right triangle in the left are congruent to the hypotenuse and corresponding acute angle of the right triangle in the right

therefore

The triangles are congruent by Hypotenuse angle congruence

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5
QveST [7]

Answer:

13500

Step-by-step explanation:

to answer this question

  1. convert the dimensions of the field to foot
  2. find the area of the field
  3. divide the area by the space of each egg

1 yard = 3 foot

75 yards = 75 x 3 = 225

120 yards = 120 x 3 = 360 ft

Area of a rectangle = length x width

225 x 360 = 81,000 ft^2

Maximum number of eggs = Area of the field / space the eggs must be apart

81,000 / 6 = 13,500

3 0
3 years ago
A total of $10,000 is invested in two funds, Fund A and Fund B. Fund A pays 5% annual interest and Fund B pays 7% annual interes
RoseWind [281]

Answer:

The amount put in the account that paid 7% ( Fund B) was $6,500

Step-by-step explanation:

Let

x -----> the amount put in the account that paid 5% (Fund A)

$10,000-x -----> the amount put in the account that paid 7% (Fund B)

in this problem we have

5\%=5/100=0.05

7\%=7/100=0.07

so

630=x(0.05)+(10,000-x)0.07

630=0.05x+700-0.07x

0.07x-0.05x=700-630

0.02x=70

x=\$3,500

\$10,000-x=\$6,500

therefore

The amount put in the account that paid 7% ( Fund B) was $6,500

3 0
3 years ago
Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?
belka [17]

Answer:

No solutions

Step-by-step explanation:

So putting that into an equation it equals

2k+8=(4k+14)÷2

Move the 2 to the other side.

2∙2k+8=4k+14

Simplify.

4k+8=4k+14

It doesn't make sense so No Solutions

8 0
3 years ago
What is the product of 4/7 and 1/5 as a fraction
Luba_88 [7]

Answer:

27/35

Step-by-step explanation:

\frac{4}{7}x5= 20/35

\frac{1}{5}x7=7/35

27/35

6 0
4 years ago
Read 2 more answers
La organización mundial de la salud dispuso que el consumo máximo de azúcar por día debería de ser de 0.0 o 25 kg si una persona
elena-s [515]

Answer:

heieirh hwgsge isjrbrgy eiriusbr iwirurh Kluber.....

3 0
3 years ago
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