Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.
Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:
where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:
Let's solve for x.<span><span><span>3x</span>−<span>4y</span></span>=3</span>Step 1: Add 4y to both sides.<span><span><span><span>3x</span>−<span>4y</span></span>+<span>4y</span></span>=<span>3+<span>4y</span></span></span><span><span>3x</span>=<span><span>4y</span>+3</span></span>Step 2: Divide both sides by 3.<span><span><span>3x</span>3</span>=<span><span><span>4y</span>+3</span>3</span></span><span>x=<span><span><span>43</span>y</span>+1</span></span>Answer:<span>x=<span><span><span>43</span>y</span>+<span>1</span></span></span>
Answer: 1 3/4 × 1 1/2
Step-by-step explanation:
Since Harry needs 1 3/4 cups of flour for one batch of cookies, but he wants to make 1 1/2 batches, the equation that can be used to find how many cups of flour Harry will need will be:
= (1 3/4 / 1) × 1 1/2
= 1 3/4 × 1 1/2
Therefore, to make 1 1/2 batches, the cups of flour needed will be:
= 1 3/4 × 1 1/2
= 7/4 × 3/2
= 21/8
= 2 5/8 cups of flours.
