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Otrada [13]
3 years ago
7

ASAP. Triangle ABC has angle measures as shown. complete sentences

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

In a triangle, the three angles ALWAYS add up to 180°

x + (6x + 10) + (x + 2) = 180

8x + 12 = 180

8x = 168

x = 21

To calculate the measure of each angle, substitute x in:

Angle A: 21

Angle B: 6(21)+10

Angle C: 21 + 2

Do the angles add up to 180 degrees? Just add the answer for A B and C and see if the sum is 180. It should be 180, if it isn't something is wrong with the calculation.

You might be interested in
The product of 6 and the quantity 9 more then the number x is 253​
allochka39001 [22]

Answer:

6(x+9)=253

Step-by-step explanation:

we know that

The algebraic expression of the phrase"The product of 6 and the quantity 9 more then the number x is 253" is equal to the number 6 multiplied by the sum of x and 9 and this result is equal to 253

so

6(x+9)=253

solve for x

6x+54=253

6x=253-54

6x=199

x=199/6

3 0
3 years ago
Find the cube of 6<br>please tell me cube of 6​
Nezavi [6.7K]

Answer:

6^3 = 216 ( to the power of three )

4 0
3 years ago
Read 2 more answers
A circle has a radius of 6. An arc in this circle has a central angle of 48º.
ikadub [295]

Answer:

Step-by-step explanation:

48 * \pi / 180 = 0.837758041

6 0
3 years ago
Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got
Flauer [41]

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

\frac{21}{6}=3.5

\frac{7}{2}=3.5

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

4 0
3 years ago
HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
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