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mina [271]
2 years ago
8

Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value

of x

Mathematics
1 answer:
Lapatulllka [165]2 years ago
3 0
Check the picture below.

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(a-b)^2=a^2-2ab+b^2

x^2-10x+27=0\ \ \ \ |-27\\\\x^2-10x=-27\\\\x^2-2\cdot x\cdot5+27=0\ \ \ |+5^2=25\\\\x^2-10x+25=-27+25

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1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

L^{2} = H^{2} + B^{2}

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm

2. The two equal angles (θ) can be found using the following trigonometric identity:          

cos(\theta) = \frac{B}{L}

\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}

Hence, the two equal angles are 44°.

I hope it helps you!  

3 0
2 years ago
Ms. B drives a maximum of 10 miles per week. If she drives 5 days per week, how much per day?
DanielleElmas [232]

Answer:

2 miles about

Step-by-step explanation:

10 miles max divided by 5 days is two miles per day

7 0
3 years ago
Trigonometry to solve for missing angles or side
lutik1710 [3]

Answer:

Step-by-step explanation:

take 55 degree as reference angle

using tan rule

tan 55=opposite/adjacent

1.42=37/x

x=37/1.42

x=26.05

6 0
3 years ago
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