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OLga [1]
2 years ago
13

Find the area of the shaded triangle

Mathematics
1 answer:
Ivanshal [37]2 years ago
6 0

Answer:

18 square units

Step-by-step explanation:

The square shows you the width and height of the triangle.

The area of any triangle if equal to 0.5 * width * height, so:

0.5 * 6 * 6 = 3 * 6 = 18 square units.

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1. Write a two-column proof.
Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

\widehat{ACB} \:bisects\: \overline{AB}        Isosceles Triangle the altitude, the bisector coincide.          

\overline{AD} \cong \overline{DB}               Bisector equally divide a line segment into two congruent      

m\angle CDA =m \angle CBD=90^{\circ} Right angles, perpendicular lines.                  

\overline{CD}\perp \overline{AB}                    Perpendicular Line segment      

8 0
3 years ago
In a lab, a substance was cooked by 42 C over a period of 7 hours at a constant rate. What was the change in temperature each ho
Mekhanik [1.2K]

Given that we have the change in temperature over 7 hours and we are looking for the change over 1 hour, we can divide the total change in temperature by 7. Thus, the change in temperature would be \frac{42}{7} C^{\circ}.


Additionally, this can be solved by equations:

\dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = \dfrac{x \,\textrm{C}^{\circ}}{1 \,\textrm{hour}}

1 \,\textrm{hour} \cdot \dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = x \,\textrm{C}^{\circ}

\dfrac{42}{7} \,\textrm{C}^{\circ} = x \,\textrm{C}^{\circ}

\dfrac{42}{7} = x


By using two different methods, we can determine that the change each hour was equal to 42/7 C° per hour.

6 0
3 years ago
What is the equation of the lime that passes through the point (1,3) and has a slope of 6
Ilya [14]

Answer:

y = 6x+ 3.

Step-by-step explanation:

y - y1 = m(x - x1)

sub.

distribute.

bring down and solve.

7 0
2 years ago
Read 2 more answers
In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?
Gnesinka [82]
Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm
7 0
3 years ago
A class had 11 boys and 9 girls in it. What percent of the class are boys?
scZoUnD [109]

11 divided by 20 = .55

multiply that by 100

55% is your answer

6 0
3 years ago
Read 2 more answers
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