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motikmotik
3 years ago
9

Help please! The division Axiom would allow us to say which two angles are equal?

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

The correct option is;

(3) ∠ADB and ∠BDC

Step-by-step explanation:

From the division axiom, we have;

(a+a)/a = 2·a/a = 2

The given parameters are;

m∠ADC = m∠ABC

\overline {BD} bisects ∠ADC and ∠ABC

Therefore;

∠ADB ≅ ∠BDC

∠ABD ≅ ∠CBD

Therefore;

∠ADB/∠CBD = ∠BDC/∠ABD

Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.

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A line intersects the point (0,-11) and has a slope of 0. What is the slope-intercept equation for this line?
True [87]

Answer:

<h2>y = -11</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<em>y = mx + b</em>

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

<em />

We have the slope <em>m = 0</em> and the point (0, -11) → <em>b = -11</em>.

Substitute:

<em>y = 0x - 11 = -11</em>

<em>It's a horizontal line.</em>

6 0
3 years ago
Summer looked at the formula for the Pythagorean Theorem, ashe said that it didn't matter which sides of a right triangle were a
irga5000 [103]
She is incorrect. It doesn’t matter what sides you label a or b but c matters. The longest side (the hypotenuse) is always c.
6 0
3 years ago
Daisy cut a square out of a sheet of graph paper. The square had an area of 16 square cm. She then trimmed 1 cm from each side o
Degger [83]

Answer: 4 cm^2, it went from 4x4 to 2x2.. clipped on all sides...

Hope I helped!

Giving me brainliest is much appreciated! :).

7 0
3 years ago
How do the surface areas of similar prisms compare when dimensions are doubled?
zhuklara [117]

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller one.

(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

B x H  to -->  2 B x 2 H = 4 (B x H)

that is 4 times the original lateral face's area.

with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

6 0
3 years ago
Find the surface area of the triangular prism below. The bases each have an
Ghella [55]

Answer:

60cm²

Step-by-step explanation:

Surface area of a triangular prism = 2B+ph

B is the base area = 6cm²

perimeter p = 12cm

altitude h = 4cm

Substitute

Surface area = 2(6) + 12(4)

Surface area = 12 + 48

Surface area = 60cm²

8 0
3 years ago
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