3 years ago

How do I identify the congruent triangles in each figure

Mathematics

1 answer:

polet [3.4K]3 years ago

7 0

By measuring their lengths. congruent means they are same.

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8. Simplify and solve this equation: 4m + 9 + 5m – 12 = 42. A. m = 5 B. m = –5 C. m = 4 D. m = -4

STatiana [176]

4m+9+5m-12=42 9m-3=42 Divide bothsides by 9. 9m/9 -3/9=-0.3=-4 m=-4

4 0

3 years ago

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How do you do this problem 1/4 +4x/5=11/20?

Nutka1998 [239]

$\frac{1}{4}+\frac{4}{5}x=\frac{11}{20}\\\\\frac{4}{5}x=\frac{11}{20}-\frac{1}{4}\\\\\frac{4}{5}x=\frac{11}{20}-\frac{5}{20}\\\\\frac{4}{5}x=\frac{6}{20}\ \ \ \ \ \ \ |\cdot\frac{5}{4}\\\\x=\frac{30}{80}=\frac{3}{8}$

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2 years ago

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns rig

vaieri [72.5K]

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

$145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}$

Christina had to travel 125 m from the three-way junction to the church.

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2 years ago

Measurements of angles by a transversal

lord [1]

Answer:

.-.-.-.--.-.--.-.-.-..--.---.--.--..-.-..-.-.--.-..-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.

Step-by-step explanation:

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2 years ago

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John has a map that shows a rectangular park 1 1/4 cm : 8 yd. on the map, the width of the park is 2 1/2 cm. What is the parks a

Ber [7]

Answer:

16 yd. This is the park's actual length.

Step-by-step explanation:

Write and solve an equation of ratios:

1 1/4 cm 8 yd

------------ = -----------

2 1/2 cm x

Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:

1 8 yd

----- = ---------

2 x

Solving for x, we get x = 16 yd. This is the park's actual length.

3 0

3 years ago