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3 years ago

What is the measurement of angle B

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

6 0

Angles B and D are congruent so:

(360-112-74)/2=87°

Leya [2.2K]3 years ago

6 0

The measure of the angle is A, 87.

The total of all the angles have to add up to 360 and we know that the 2 missing angles have to be the same because the congruent lines.

112+74=186. 360-186=174/2=87

Hope this helps and have a great day! :D

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Place value of 0 1 4 3 6 9 in 987,164.302

Blizzard [7]

0 is in the hundredths place
1 is in the hundreds place
4 is in the ones place
3 is in the tenths place
6 is in the tens place
9 is in the hundred-thousands place

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3 years ago

A circle has a radius of 7 inches what is the area

Scrat [10]

Answer:

49π and 153.86 when multiplyed by 3.14.

Step-by-step explanation:

Hi!

The formula for finding the area of a circle is πr².

In that case, all we have to do is substitute 7 inches for our r.

7² × π

= 49π

If you want that solved out, we can substitute a rational number for π (3.14)

49 × 3.14 = 153.86

Thus, the area of the circle is $\boxed{49\pi}$ , 153.86 roughly.

Hope this helps!

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3 years ago

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

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3 years ago

6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to

Rasek [7]

The length of the square base is thus $2 x 3\sqrt{2}/2 = 3\sqrt{2}$ = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = $6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}$