<h3>
Answer:</h3>
<u>The given quadrilateral are cyclic quadrilateral, so the sum of opposite angle is 180°</u>.
Therefore,
- x + 26° = 180°
- x = 180° - 26°
- x = 164°.
<u>Hence, the value of x is 164°</u>.
The area is one square centimeter
Answer:
Check Explanation
Step-by-step explanation:
The volume of concrete required to build the bridge is missing and should be provided.
In its absence, let us assign a letter to it.
Let the volume of concrete required to build the bridge be V ft³.
And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.
Density = (mass/volume)
Density = 150 lb/ft³
Mass = ?
Volume = V ft³
Mass = (Density) × (Volume)
Mass of concrete required = 150 × V = (150V) lb
Cost of concrete is 0.80 per lb
1 lb of concrete costs 0.80
150V of concrete will cost 150V × 0.80 = (120V) currency amount.
Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.
If 120V > 300,000 budget, the cpc cannot afford the bridge, but if 300,000 budget > 120V, then the cpc can afford the bridge.
Hope this Helps!!!
We know that<span>
<span>Figures can be proven similar if one, or more,
similarity transformations (reflections, translations, rotations, dilations)
can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a
translation and a scale factor (from a dilation) will be found to map one
circle onto another.
we have that</span>
<span> Circle 1 is centered at (5,8) and has a
radius of 8 centimeters
Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the
center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the
same center)
</span>
step 2
<span>A dilation is needed to decrease the size of
circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle
1-----> 4/8----> 0.5
radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal
to radius circle 2
<span>A
translation, followed by a dilation will map one circle onto the other,
thus proving that the circles are similar
the answer is
</span></span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
Are you to combine the answer or are they 2 separate equations you need to solve for y?
