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Vinvika [58]
3 years ago
10

In the diagram below ab is parallel to cd what is the value of x ?

Mathematics
2 answers:
enyata [817]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Since the lines are parallel then

x and 120 are alternate angles and congruent, hence

x = 120 → C

Debora [2.8K]3 years ago
7 0

Answer:

Option C is correct.

Step-by-step explanation:

We are given that line \overline{AB}  and line \overline{CD} are parallel to each other.

We have to find value of x.

Measure of given angle = 120°

Clearly from pic,

Given angle and x are interior angles and on the alternate sides.

So using a result of parallel line which says that Alternate interior angles are equal.

So, x = 120°

Therefore, Option C is correct.

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H(x)=5/sqrt(2x+10), find the domain using set builder notation.
marissa [1.9K]

The given expression is

h(x) = \frac{5}{\sqrt{2x+10}}

THe given expression is a rational expression, and rational expression should not have 0 in the denominator.

Moreover, the denominator is a square root term, and square root don't have a value for negative number .

Therefore 2x+10 must be greater then 0. That is

2x+10>0
\\
2x>-10
\\
x>-5

Therefore the required domain in set builder form is

{x | x>-5}

4 0
4 years ago
I need help! 30 points! Will mark brainliest! I'm giving up my rank for this answer! Please!
Sedaia [141]

Answer: a = -3

Step-by-step explanation: First we distribute the -2 to a and -3 to get -2a+6=12, then subtract 6 on both sides, -2a=6, finally divide by -2 on each side to get a = -3.

Hope this helps!

Please consider marking BRAINLIEST!

5 0
3 years ago
Read 2 more answers
SMART STUDENT PLEASEEEE​
lawyer [7]

Answer:

Therefore,

BC=y=10.61\ units\\\\AC=x=8.6\ units

Step-by-step explanation:

Consider a Δ ABC with

m∠ B= 45°

m∠ C = 90°

AB = c = 15 cm

To Find:

BC = a = y ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\\\\\angle B +35+90+=180\\\therefore m\angle A =180-125=55\°

We know in a Triangle Sine Rule Says that,

In Δ ABC,

\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}

substituting the given values we get

\frac{a}{\sin 55}= \frac{b}{\sin 35}= \frac{15}{\sin 90}

∴ \frac{y}{\sin 55}= \frac{15}{1}\\\\y=\sin 55\times 15\\\\y=10.606\\\therefore BC = y = 10.61\ units

Similarly for 'x',

\frac{x}{\sin 35}= \frac{15}{1}

\therefore x =\sin 35\times 15\\\therefore x =0.5735\times 15\\\therefore x =8.6\\

Therefore,

BC=y=10.61\ units\\\\AC=x=8.6\ units

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