The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

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Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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We know that,

The sum of all angles of a triangle is 180°

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So, According to the question :

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

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${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

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${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

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Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.

irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are $48 in\times 168 in$

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

$48 = 2\times 2\times 2\times 2\times 3$

$168 = 2\times 2\times 2\times 3\times 7$

Therefore,

The GCF of the dimensions = $48 = 2\times 2\times 2\times 3 = 24$

Therefore, the largest side of a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = $\frac{Total\ Area}{Area\ of\ largest\ square}$

No. of pieces = $\frac{48\times 168}{24\times 24}$ = 14

7 0

3 years ago

Read 2 more answers

joey went hiking on a wilderness path. the path was in the shape of the triangle shown on the diagram. He walked on the path 2 t

Gekata [30.6K]

30 miles total. Hope this helps

5 0

3 years ago

Read 2 more answers

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =

Aleksandr-060686 [28]

x-y-z

$\\ \sf\longmapsto XY+YZ=XZ$

$\\ \sf\longmapsto 7a+5a=6a+24$

$\\ \sf\longmapsto 12a=6a+24$

$\\ \sf\longmapsto 12a-6a=24$

$\\ \sf\longmapsto 6a=24$

$\\ \sf\longmapsto a=\dfrac{24}{6}$

$\\ \sf\longmapsto a=5$

YZ=5a=5(5)=25

5 0

2 years ago

Please Help 10 Points

shepuryov [24]

Answer:

-2x^2-6x-15

Step-by-step explanation:

3 0

3 years ago