What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA

1 answer:

3 0

What do you mean? You just need to prove there are two angles and the side between these two angles are the same in each triangle. One of the possible <span>combinations could be </span>∠BAC=∠FDE, ∠ABC= ∠DEF, and AB=DE.

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Find AD. Show how you got your answer.

stealth61 [152]

Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half

notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base

now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

$\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
----------------------------\\\\
\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}$

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

4 0

3 years ago

2x-1=4<br> -2x+y=8<br> Find the value of x

andrezito [222]

Answer:

Step-by-step explanation:

2x=5

x=2.5

4 0

3 years ago

Based on the Census, state A has 17 fewer electoral votes for president then state B. If the total number of electoral votes for

makkiz [27]

X = B.......x - 17 = A

x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes

x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes

6 0

4 years ago

Find the mean and median of the following data set:

VARVARA [1.3K]

Answer:

Mean: 23. 54545455

Median: 22

Step-by-step explanation:

The median represents the center the most because when you are solving for the median, you look for the direct center of the terms which will be 22, the median.

6 0

3 years ago

Reflection across the y-axis

attashe74 [19]

(4,2) is the answer

7 0

3 years ago