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8_murik_8 [283]
3 years ago
5

Which description does NOT guarantee that a trapezoid is isosceles?

Mathematics
1 answer:
babunello [35]3 years ago
3 0

A trapezoid is isosceles if and only if

(1) The base angles are congruent

(2) The diagonals are congruent

(3) The opposite angles are supplementary

So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".

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Find the value of x in the isosceles triangle shown below.
dybincka [34]

Answer:

x=8

Step-by-step explanation:

This isosceles triangle is composed of two right triangles with sides 8,\sqrt{80} , and y

As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y

Therefore, x=2(4)=8

8 0
3 years ago
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The perimeter of this isosceles triangle is 47 cm. What is the length of each of its legs?
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A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $4, and a box o
Andreas93 [3]

Answer:

75 boxes of standard varieties and 40 boxes of deluxe varieties.

Step-by-step explanation:

Let x be the number of standard variety and y be the number of the deluxe variety of the strawberry,

∵ Total number of strawberries = 115,

⇒ x + y = 115

⇒ x = 115 - y -----(1),

Total spending amount is $ 700, in which each standard variety costs $ 4 and deluxe variety costs $ 10,

⇒ 4x + 10y = 700 ----(2),

From equation (1),

4(115-y) + 10y = 700

460 - 4y + 10y = 700

460 + 6y = 700

6y = 240

⇒ y = 40

Again from equation (1),

x = 115 - 40 = 75

Hence, there are 75 boxes of standard varieties and 40 boxes of deluxe varieties.

4 0
4 years ago
Point w is reflected across x = 1 (3,-2)
dalvyx [7]

Answer:

are we supposed to find w ?

Step-by-step explanation:

i dk what to do, do you have a pic to go along?

3 0
3 years ago
A man spends 2/7 of his $1900 salary on loans. How much many remain with him?
Alex17521 [72]

Answer:

$1357.14

Step-by-step explanation:

Given that 2/7 of his Salary is on loans

2/7(1900) = 542.86

Remaining amount = $1900-$542.86 = $1357.14

4 0
3 years ago
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