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Rufina [12.5K]
3 years ago
7

Complete the proof by providing the missing statement and reasons

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



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Your answer must be simplified.
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Answer:

The simplified form is x\geq -99.

Step-by-step explanation:

Given : Expression \frac{x}{3}\geq -33

To find : The simplified expression ?

Solution :

Expression \frac{x}{3}\geq -33

Multiply 3 both side,

\frac{x}{3}\times 3\geq -33\times 3

x\geq -99

Therefore, the simplified form is x\geq -99.

8 0
2 years ago
Find the y-intercept for the equation y=15x-3
Anestetic [448]

Answer:

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Step-by-step explanation:

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3 years ago
Take a deck of playing cards form following sets out of those
swat32

The information given about the probability shows that the cardinality of D is 18.

<h3>How to calculate the probability?</h3>

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

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B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

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