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1 year ago

Complete the congruence statement for the figure shown. If the triangles cannot be shown congruent, type na in each blank.

Mathematics

1 answer:

Serjik [45]1 year ago

7 0

Answer:

ΔABC≅ΔDEF by AAS (Angle-Angle-Side) Theorem

Step-by-step explanation:

We observe that $\angle A\cong\angle D$ , $\angle C\cong \angle F$ for the included angle, and $BC\cong EF$ for our side. Thus, the AAS Theorem proves that the triangles are congruent to each other

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In the diagram below, AB = BD = BC, and mZA = 24°. Find<br> mZC.

snow_tiger [21]

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

132 = ∠BCD + ∠BDC

Since ∠BCD = ∠BDC, then

∠BCD = ∠BDC = 132/2

∠BCD = ∠BDC = 66°

3 0

2 years ago

PLEASE HELP ME THIS IS DUE TODAY, I NEED HELP!!!!!!

natita [175]

Answer:

I will explain in comments I just want some points for helping you.

Step-by-step explanation:

sorry that sounds selfish. :'(

4 0

1 year ago

What is the common denominator 2 1/3+1/2?

nirvana33 [79]

Six. 2 1/3=7/3-> to get to have a denominator of 6 multiply by 2 to get 14/6
Then 1/2=3/6
14/6 + 3/6 = 17/6
17/6= 2 5/6

5 0

2 years ago

Find the percent of increase from 1.5 inches to 6 inches

Maslowich

Answer:

25%

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Choose all that correctly solve for x.

Tamiku [17]

Answer:

Options: A, B, and C correctly solve for x.

Step-by-step explanation:

A).

$\frac{5}{2} x$ = $\frac{15}{2}$

Multiplying both sides by 2 gives;

5x = 15

x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

B).

x + $\frac{7}{2}$ = 7

x = 7 - $\frac{7}{2}$ = $\frac{14}{2} -\frac{7}{2} = \frac{7}{2}$

∴ This option correctly solve for x.

C).

x + 3 = $\frac{21}{5}$

x = $\frac{21}{5} - \frac{15}{5} = \frac{6}{5}$

But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10

But the option gives x as 10/11 so it does not correctly solve for x.

8 0

2 years ago