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3 years ago

For a pair of similar triangles, corresponding sides are always congruent. True or false?

2 answers:

6 0

That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)

Mama L [17]3 years ago

4 0

Answer:

False

Step-by-step explanation:

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Sonia is standing between two buildings. The building to her left is 112 feet tall and the building to her right is 78 feet tall

djverab [1.8K]

I give up on this one because it is so hard

4 0

2 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

5 0

1 year ago

Determine the equation of the line passing through the points (3,1) and (5,−1).

katrin [286]

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-3)

m=-2/2

m=-1

y-y1=m(x-x1)

y-1=-1(x-3)

y-1=-x+3

y=-x+3+1

y=-x+4

5 0

2 years ago

A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land

netineya [11]

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

$\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}$

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

$A=(17.5yd)(37.5yd)=656.25yd^2$

Hence, the area of the lot of land is 656.25 sq yd

5 0

1 year ago

NO LINKS!!! PLEASE!

lara [203]

Answer:

x = 94

Step-by-step explanation:

(86 + x)/2 = 90

86 + x = 180

x = 94

6 0

2 years ago