Need help with finding the x!!!

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Angle QRT is supplementary to angle SRT, so they add up to 180, so angle SRT's measure is 180-9x

From there you can add up all three angles inside the triangle and set them equal to 180

so $(180-9x) +$ $(9+x)+5x=180$

Combine like terms and solve for x ⇒ x=3

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The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.

Triss [41]

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

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What additional information would you need to prove by the HL theorem?

Butoxors [25]

Answer:

<em>Answer:</em> <em>A</em> $\overline{TM}\cong \overline{OR}$

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A $\mathbf{\overline{TM}\cong \overline{OR}}$