Answer:
y = 5/3
x = 8/3
Steps:
y = x - 1
2x + y = 7
Substitute y = x-1
(2x + x - 1 = 7)
Simplify: 3x - 1 = 7
Isolate x: 3x - 1 = 7: x=8/3
Plug the valuse of x into the other equation (y = x- 1): y = 8/3 - 1
8/3 - 1 = 5/3
y = 5/3
y = 5/3, x = 8/3
Answer:
all work is shown and pictured
Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
Answer:
<u><em>1: "An equilateral triangle is never an obtuse triangle" & "An equilateral triangle is never an isosceles triangle."
</em></u>
<u><em>
</em></u>
<u><em>2: Acute Isosceles Triangle
</em></u>
<u><em>
</em></u>
<u><em>3: False! Option B.
</em></u>
<u><em>
</em></u>
<u><em>4: D</em></u>
Step-by-step explanation:
2: Isosceles Triangles have two equal sides. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
3: An <u>equilateral triangle</u> is a triangle in which all the sides and all the angles are equal.
4: In order for a triangle to be <u>isosceles</u>, it has to have two same sides. For a triangle to be <u>equilateral</u>, all sides and angles need to be the same. Refer to reasoning in Question 2 for next explanation.
Answer:
the guinea pig is 21 cm longer
Step-by-step explanation:
fish = 40 mm
guinea pig 25 cm
convert the fish to cm
1 cm = 10 mm
40 mm * 1 cm/10 mm = 4 cm
guinea pig - fish
25 cm - 4 cm
21 cm
the guinea pig is 21 cm longer
