Answer:
C. 5 miles
Step-by-step explanation:
Since we need to find how many miles they ran together, let us convert feet to miles. Sarah's length is already in miles so we'll leave it that way.
Jaime ran 15840 feet. We are given how many feet are there in one mile (5280), so we need to find how many miles are there in 15840 feet.
x = 15840 / 5280 = 3 miles.
So, Jaime ran 3 miles and Sarah ran 2 miles.
That means that together they ran 3 + 2 = 5 miles.
Rotation being a rigid transformation, does not alter the angle and side lengths after transformation.
The arrow in Figure B will have the same angle measure as Figure A
From the complete question (see attachment), we understand that:
Figure A is rotated 90 degrees clockwise around point (2,2)
Rotation is a rigid transformation
This means that: after the transformation
- Figure A and figure B will have the same side lengths
- Figure A and figure B will have the same measure of angles
The above highlights imply that, the arrow in Figure B will have the same angle measure as Figure A
Read more about rigid transformations at:
brainly.com/question/1761538
Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
X=amout the shirts cost
52=8+6.50+2x
add 8 and 6.5
52=14.5+2x
subtract 14.5 from 52
37.5=2x
divide 37.5 by 2
x=18.75
It cost $18.75 for each shirt.
Answer:
Total overripe fruit = 48
Step-by-step explanation:
<em>Step 1: Assume the value of oranges</em>
Let oranges be x
Oranges = x
Apples = 32 + x
Overripe oranges = 3/5 of oranges
= 3x/5
Overripe apples = 1/3 of apples
= 1/3 (32 + x)
<em>Step 2: Find x (oranges)</em>
<em>Number of overripe apples and number or overripe oranges are equal.</em>
3x/5 = 1/3 (32 + x)
3 (3x) = 5(32 + x)
9x = 160 + 5x
4x = 160
x = 40
<em>Step 3: Find the total number of overripe fruit.</em>
Total overripe fruit = Overripe apples + Overripe oranges
Total overripe fruit = 1/3 (32 + x) + 3x/5
Total overripe fruit = 1/3 (32 + 40) + 3(40)/5
Total overripe fruit = 24 + 24
Total overripe fruit = 48
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