Answer:
X = 3°
Step-by-step explanation:
Since O and T are parallel you can use alternating lines
7x + 5° = 5x + 11° (alt. angles, O||T)
Move the 5x and the 5°
7x - 5x = 11° - 5°
2x = 6°
Divide both sides by 2
x = 3°
This is assuming 11 is an angle
She is correct because a negative subtracted by a negative is positive.
Answer:
If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).
Step-by-step explanation:
We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.
The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:
Then, we can express one side in function of the other as:
Then, if we define b, we get the value of a that satisfies the equation.
A graph of values of a and b is attached.
If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).
Solution:
we are given that
In the image, shape ABCD is similar to shape WXYZ.
we have been asked to find the measure of side ZW.
As we know that when two shapes are similar then the ratios of their corresponding sides are equal.
So we can write
Hence ZW=4.5 Inches.
3x−x+4=4(2x−1)
Step 1: Simplify both sides of the equation.<span><span><span><span>3x</span>−x</span>+4</span>=<span>4<span>(<span><span>2x</span>−1</span>)</span></span></span><span>Simplify: (Show steps)</span><span><span><span>2x</span>+4</span>=<span><span>8x</span>−4</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>2x</span>+4</span>−<span>8x</span></span>=<span><span><span>8x</span>−4</span>−<span>8x</span></span></span><span><span><span>−<span>6x</span></span>+4</span>=<span>−4</span></span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>6x</span></span>+4</span>−4</span>=<span><span>−4</span>−4</span></span><span><span>−<span>6x</span></span>=<span>−8</span></span>Step 4: Divide both sides by -6.<span><span><span>−<span>6x/</span></span><span>−6</span></span>=<span><span>−8/</span><span>−6</span></span></span><span>x=<span>4/3</span></span>Answer:<span>x=<span>4/<span>3</span></span></span>
