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Dahasolnce [82]
3 years ago
11

Given that Triangle ABC ~ DEF, solve for X.​

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer:

x = 7

Step-by-step explanation:

if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE

The ratio of AB to ED is given as 5/30 = 1/6

For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it

6x = 42

x = 7

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I need help with this tri trig I think it’s 55 but I don’t see the answer choice
babymother [125]

Answer:

m ∠ W is 58.2°

Step-by-step explanation:

Given:

XY = 15

WZ = 22

∠ XZY =25°

To Find:

m ∠ W = ?

Solution:

In right angle triangle Δ XZY,  by Sine identity we have

\sin Z= \frac{\textrm{side opposite to angle Z}}{Hypotenuse} \\\sin 25= \frac{XY}{XZ}\\0.4226=\frac{15}{XZ}\\\therefore XZ=\frac{15}{0.4226} \\XZ=35.49

∴ XZ = 35.49

Now in right angle triangle Δ WZX, by tangent identity we have

\tan W = \frac{\textrm{side opposite to angle Z}}{\textrm{side adjacent to angle Z}}\\\tan W = \frac{XZ}{WZ}\\\tan W = \frac{35.49}{22}\\\tan W = 1.6131\\\therefore W =\tan^{-1}(1.6131) \\W= 58.2\°

∴m ∠W =58.2°

8 0
3 years ago
PLEASE HELP!<br><br> Fill in the reason for statement 3 in proof below:<br><br> SAS<br> AA<br> SSS
ivann1987 [24]

Answer:

SAS

Step-by-step explanation:

ΔABD ~ ΔECD is similar through:

S - because ED = CD (Given)

A - same angle ∠D (Statement 2)

S - because AD = BD (Given)

Cheers!

5 0
3 years ago
Read 2 more answers
What is the product of i^2(2i^2-5)
Black_prince [1.1K]
Sorry this just got deleted :( ill post it again

i^2(2i^2 - 5)

= 7 

I'm sorry I'm bad at explaining how i solved it
4 0
3 years ago
Which function has the same domain as y=2 sqrt x
Fiesta28 [93]
The domain of a function is the set of values for which the function is defined; i.e. the function outputs a value for an input from the domain. That means that we must be able to plug in numbers for x and get numbers from y.
We can't take the square root of negative numbers (ignoring imaginary numbers), so that means we can take the square root of any non-negative number; i.e. we can take the square root of zero, and any positive number.
Therefore, any function that can take in values of x that are zero or more than zero has the same domain as the given function. So y=\sqrt{x} is a function that has the same domain as y=2\sqrt{x}.
3 0
4 years ago
Read 2 more answers
HALLLLPPP Let g(x) = 2x and h(x) = x^2 + 4. Evaluate each expression: g(-2) - h(4)
True [87]

Answer:

-24

Step-by-step explanation:

g(-2) = 2(-2)

g(-2) = -4

h(4) = 4² + 4

h(4) = 16 + 4

h(4) = 20

g(-2) - h(4)

-4 - 20

= -24

5 0
4 years ago
Read 2 more answers
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